🗊Презентация Hypothesis Testing with Two Samples

Категория: Математика
Нажмите для полного просмотра!
Hypothesis Testing with Two Samples, слайд №1Hypothesis Testing with Two Samples, слайд №2Hypothesis Testing with Two Samples, слайд №3Hypothesis Testing with Two Samples, слайд №4Hypothesis Testing with Two Samples, слайд №5Hypothesis Testing with Two Samples, слайд №6Hypothesis Testing with Two Samples, слайд №7Hypothesis Testing with Two Samples, слайд №8Hypothesis Testing with Two Samples, слайд №9Hypothesis Testing with Two Samples, слайд №10Hypothesis Testing with Two Samples, слайд №11Hypothesis Testing with Two Samples, слайд №12Hypothesis Testing with Two Samples, слайд №13Hypothesis Testing with Two Samples, слайд №14Hypothesis Testing with Two Samples, слайд №15Hypothesis Testing with Two Samples, слайд №16Hypothesis Testing with Two Samples, слайд №17Hypothesis Testing with Two Samples, слайд №18Hypothesis Testing with Two Samples, слайд №19Hypothesis Testing with Two Samples, слайд №20Hypothesis Testing with Two Samples, слайд №21Hypothesis Testing with Two Samples, слайд №22Hypothesis Testing with Two Samples, слайд №23Hypothesis Testing with Two Samples, слайд №24Hypothesis Testing with Two Samples, слайд №25Hypothesis Testing with Two Samples, слайд №26Hypothesis Testing with Two Samples, слайд №27Hypothesis Testing with Two Samples, слайд №28Hypothesis Testing with Two Samples, слайд №29Hypothesis Testing with Two Samples, слайд №30Hypothesis Testing with Two Samples, слайд №31Hypothesis Testing with Two Samples, слайд №32Hypothesis Testing with Two Samples, слайд №33Hypothesis Testing with Two Samples, слайд №34Hypothesis Testing with Two Samples, слайд №35Hypothesis Testing with Two Samples, слайд №36Hypothesis Testing with Two Samples, слайд №37Hypothesis Testing with Two Samples, слайд №38Hypothesis Testing with Two Samples, слайд №39Hypothesis Testing with Two Samples, слайд №40Hypothesis Testing with Two Samples, слайд №41Hypothesis Testing with Two Samples, слайд №42Hypothesis Testing with Two Samples, слайд №43Hypothesis Testing with Two Samples, слайд №44Hypothesis Testing with Two Samples, слайд №45Hypothesis Testing with Two Samples, слайд №46Hypothesis Testing with Two Samples, слайд №47Hypothesis Testing with Two Samples, слайд №48Hypothesis Testing with Two Samples, слайд №49Hypothesis Testing with Two Samples, слайд №50Hypothesis Testing with Two Samples, слайд №51Hypothesis Testing with Two Samples, слайд №52Hypothesis Testing with Two Samples, слайд №53Hypothesis Testing with Two Samples, слайд №54Hypothesis Testing with Two Samples, слайд №55Hypothesis Testing with Two Samples, слайд №56Hypothesis Testing with Two Samples, слайд №57Hypothesis Testing with Two Samples, слайд №58Hypothesis Testing with Two Samples, слайд №59Hypothesis Testing with Two Samples, слайд №60Hypothesis Testing with Two Samples, слайд №61Hypothesis Testing with Two Samples, слайд №62Hypothesis Testing with Two Samples, слайд №63Hypothesis Testing with Two Samples, слайд №64Hypothesis Testing with Two Samples, слайд №65Hypothesis Testing with Two Samples, слайд №66Hypothesis Testing with Two Samples, слайд №67Hypothesis Testing with Two Samples, слайд №68Hypothesis Testing with Two Samples, слайд №69Hypothesis Testing with Two Samples, слайд №70
Скачать

Содержание ▲

Вы можете ознакомиться и скачать презентацию на тему Hypothesis Testing with Two Samples. Доклад-сообщение содержит 70 слайдов. Презентации для любого класса можно скачать бесплатно. Если материал и наш сайт презентаций Mypresentation Вам понравились – поделитесь им с друзьями с помощью социальных кнопок и добавьте в закладки в своем браузере.

Слайды и текст этой презентации

Слайд 1


Chapter 8 Hypothesis Testing with Two Samples
Описание слайда:
Chapter 8 Hypothesis Testing with Two Samples

Слайд 2


Chapter Outline 8.1 Testing the Difference Between Means (Large Independent Samples) 8.2 Testing the Difference Between Means (Small Independent Samples) 8.3 Testing the Difference Between Means (Dependent Samples) 8.4 Testing the Difference Between Proportions
Описание слайда:
Chapter Outline 8.1 Testing the Difference Between Means (Large Independent Samples) 8.2 Testing the Difference Between Means (Small Independent Samples) 8.3 Testing the Difference Between Means (Dependent Samples) 8.4 Testing the Difference Between Proportions

Слайд 3


Section 8.1 Testing the Difference Between Means (Large Independent Samples)
Описание слайда:
Section 8.1 Testing the Difference Between Means (Large Independent Samples)

Слайд 4


Section 8.1 Objectives Determine whether two samples are independent or dependent Perform a two-sample z-test for the difference between two means μ1 and μ2 using large independent samples
Описание слайда:
Section 8.1 Objectives Determine whether two samples are independent or dependent Perform a two-sample z-test for the difference between two means μ1 and μ2 using large independent samples

Слайд 5


Two Sample Hypothesis Test Compares two parameters from two populations. Sampling methods: Independent Samples The sample selected from one population is not related to the sample selected from the second population. Dependent Samples (paired or matched samples) Each member of one sample corresponds to a member of the other sample.
Описание слайда:
Two Sample Hypothesis Test Compares two parameters from two populations. Sampling methods: Independent Samples The sample selected from one population is not related to the sample selected from the second population. Dependent Samples (paired or matched samples) Each member of one sample corresponds to a member of the other sample.

Слайд 6


Independent and Dependent Samples
Описание слайда:
Independent and Dependent Samples

Слайд 7


Example: Independent and Dependent Samples Classify the pair of samples as independent or dependent. Sample 1: Resting heart rates of 35 individuals before drinking coffee. Sample 2: Resting heart rates of the same individuals after drinking two cups of coffee.
Описание слайда:
Example: Independent and Dependent Samples Classify the pair of samples as independent or dependent. Sample 1: Resting heart rates of 35 individuals before drinking coffee. Sample 2: Resting heart rates of the same individuals after drinking two cups of coffee.

Слайд 8


Example: Independent and Dependent Samples Classify the pair of samples as independent or dependent. Sample 1: Test scores for 35 statistics students. Sample 2: Test scores for 42 biology students who do not study statistics.
Описание слайда:
Example: Independent and Dependent Samples Classify the pair of samples as independent or dependent. Sample 1: Test scores for 35 statistics students. Sample 2: Test scores for 42 biology students who do not study statistics.

Слайд 9


Two Sample Hypothesis Test with Independent Samples Null hypothesis H0 A statistical hypothesis that usually states there is no difference between the parameters of two populations. Always contains the symbol =. Alternative hypothesis Ha A statistical hypothesis that is supported when H0 is rejected. Always contains the symbol >, , or <.
Описание слайда:
Two Sample Hypothesis Test with Independent Samples Null hypothesis H0 A statistical hypothesis that usually states there is no difference between the parameters of two populations. Always contains the symbol =. Alternative hypothesis Ha A statistical hypothesis that is supported when H0 is rejected. Always contains the symbol >, , or <.

Слайд 10


Two Sample Hypothesis Test with Independent Samples
Описание слайда:
Two Sample Hypothesis Test with Independent Samples

Слайд 11


Two Sample z-Test for the Difference Between Means Three conditions are necessary to perform a z-test for the difference between two population means μ1 and μ2. The samples must be randomly selected. The samples must be independent. Each sample size must be at least 30, or, if not, each population must have a normal distribution with a known standard deviation.
Описание слайда:
Two Sample z-Test for the Difference Between Means Three conditions are necessary to perform a z-test for the difference between two population means μ1 and μ2. The samples must be randomly selected. The samples must be independent. Each sample size must be at least 30, or, if not, each population must have a normal distribution with a known standard deviation.

Слайд 12


Two Sample z-Test for the Difference Between Means
Описание слайда:
Two Sample z-Test for the Difference Between Means

Слайд 13


Two Sample z-Test for the Difference Between Means Test statistic is The standardized test statistic is When the samples are large, you can use s1 and s2 in place of 1 and 2. If the samples are not large, you can still use a two-sample z-test, provided the populations are normally distributed and the population standard deviations are known.
Описание слайда:
Two Sample z-Test for the Difference Between Means Test statistic is The standardized test statistic is When the samples are large, you can use s1 and s2 in place of 1 and 2. If the samples are not large, you can still use a two-sample z-test, provided the populations are normally distributed and the population standard deviations are known.

Слайд 14


Using a Two-Sample z-Test for the Difference Between Means (Large Independent Samples)
Описание слайда:
Using a Two-Sample z-Test for the Difference Between Means (Large Independent Samples)

Слайд 15


Using a Two-Sample z-Test for the Difference Between Means (Large Independent Samples)
Описание слайда:
Using a Two-Sample z-Test for the Difference Between Means (Large Independent Samples)

Слайд 16


Example: Two-Sample z-Test for the Difference Between Means A consumer education organization claims that there is a difference in the mean credit card debt of males and females in the United States. The results of a random survey of 200 individuals from each group are shown below. The two samples are independent. Do the results support the organization’s claim? Use α = 0.05.
Описание слайда:
Example: Two-Sample z-Test for the Difference Between Means A consumer education organization claims that there is a difference in the mean credit card debt of males and females in the United States. The results of a random survey of 200 individuals from each group are shown below. The two samples are independent. Do the results support the organization’s claim? Use α = 0.05.

Слайд 17


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 18


Example: Using Technology to Perform a Two-Sample z-Test The American Automobile Association claims that the average daily cost for meals and lodging for vacationing in Texas is less than the same average costs for vacationing in Virginia. The table shows the results of a random survey of vacationers in each state. The two samples are independent. At α = 0.01, is there enough evidence to support the claim?
Описание слайда:
Example: Using Technology to Perform a Two-Sample z-Test The American Automobile Association claims that the average daily cost for meals and lodging for vacationing in Texas is less than the same average costs for vacationing in Virginia. The table shows the results of a random survey of vacationers in each state. The two samples are independent. At α = 0.01, is there enough evidence to support the claim?

Слайд 19


Solution: Using Technology to Perform a Two-Sample z-Test
Описание слайда:
Solution: Using Technology to Perform a Two-Sample z-Test

Слайд 20


Solution: Using Technology to Perform a Two-Sample z-Test
Описание слайда:
Solution: Using Technology to Perform a Two-Sample z-Test

Слайд 21


Section 8.1 Summary Determined whether two samples are independent or dependent Performed a two-sample z-test for the difference between two means μ1 and μ2 using large independent samples
Описание слайда:
Section 8.1 Summary Determined whether two samples are independent or dependent Performed a two-sample z-test for the difference between two means μ1 and μ2 using large independent samples

Слайд 22


Section 8.2 Testing the Difference Between Means (Small Independent Samples)
Описание слайда:
Section 8.2 Testing the Difference Between Means (Small Independent Samples)

Слайд 23


Section 8.2 Objectives Perform a t-test for the difference between two means μ1 and μ2 using small independent samples
Описание слайда:
Section 8.2 Objectives Perform a t-test for the difference between two means μ1 and μ2 using small independent samples

Слайд 24


Two Sample t-Test for the Difference Between Means If samples of size less than 30 are taken from normally-distributed populations, a t-test may be used to test the difference between the population means μ1 and μ2. Three conditions are necessary to use a t-test for small independent samples. The samples must be randomly selected. The samples must be independent. Each population must have a normal distribution.
Описание слайда:
Two Sample t-Test for the Difference Between Means If samples of size less than 30 are taken from normally-distributed populations, a t-test may be used to test the difference between the population means μ1 and μ2. Three conditions are necessary to use a t-test for small independent samples. The samples must be randomly selected. The samples must be independent. Each population must have a normal distribution.

Слайд 25


Two Sample t-Test for the Difference Between Means The standardized test statistic is The standard error and the degrees of freedom of the sampling distribution depend on whether the population variances and are equal.
Описание слайда:
Two Sample t-Test for the Difference Between Means The standardized test statistic is The standard error and the degrees of freedom of the sampling distribution depend on whether the population variances and are equal.

Слайд 26


Two Sample t-Test for the Difference Between Means Variances are equal Information from the two samples is combined to calculate a pooled estimate of the standard deviation .
Описание слайда:
Two Sample t-Test for the Difference Between Means Variances are equal Information from the two samples is combined to calculate a pooled estimate of the standard deviation .

Слайд 27


Two Sample t-Test for the Difference Between Means Variances are not equal If the population variances are not equal, then the standard error is d.f = smaller of n1 – 1 or n2 – 1
Описание слайда:
Two Sample t-Test for the Difference Between Means Variances are not equal If the population variances are not equal, then the standard error is d.f = smaller of n1 – 1 or n2 – 1

Слайд 28


Normal or t-Distribution?
Описание слайда:
Normal or t-Distribution?

Слайд 29


Two-Sample t-Test for the Difference Between Means (Small Independent Samples)
Описание слайда:
Two-Sample t-Test for the Difference Between Means (Small Independent Samples)

Слайд 30


Two-Sample t-Test for the Difference Between Means (Small Independent Samples)
Описание слайда:
Two-Sample t-Test for the Difference Between Means (Small Independent Samples)

Слайд 31


Example: Two-Sample t-Test for the Difference Between Means The braking distances of 8 Volkswagen GTIs and 10 Ford Focuses were tested when traveling at 60 miles per hour on dry pavement. The results are shown below. Can you conclude that there is a difference in the mean braking distances of the two types of cars? Use α = 0.01. Assume the populations are normally distributed and the population variances are not equal. (Adapted from Consumer Reports)
Описание слайда:
Example: Two-Sample t-Test for the Difference Between Means The braking distances of 8 Volkswagen GTIs and 10 Ford Focuses were tested when traveling at 60 miles per hour on dry pavement. The results are shown below. Can you conclude that there is a difference in the mean braking distances of the two types of cars? Use α = 0.01. Assume the populations are normally distributed and the population variances are not equal. (Adapted from Consumer Reports)

Слайд 32


Solution: Two-Sample t-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample t-Test for the Difference Between Means

Слайд 33


Example: Two-Sample t-Test for the Difference Between Means A manufacturer claims that the calling range (in feet) of its 2.4-GHz cordless telephone is greater than that of its leading competitor. You perform a study using 14 randomly selected phones from the manufacturer and 16 randomly selected similar phones from its competitor. The results are shown below. At α = 0.05, can you support the manufacturer’s claim? Assume the populations are normally distributed and the population variances are equal.
Описание слайда:
Example: Two-Sample t-Test for the Difference Between Means A manufacturer claims that the calling range (in feet) of its 2.4-GHz cordless telephone is greater than that of its leading competitor. You perform a study using 14 randomly selected phones from the manufacturer and 16 randomly selected similar phones from its competitor. The results are shown below. At α = 0.05, can you support the manufacturer’s claim? Assume the populations are normally distributed and the population variances are equal.

Слайд 34


Solution: Two-Sample t-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample t-Test for the Difference Between Means

Слайд 35


Solution: Two-Sample t-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample t-Test for the Difference Between Means

Слайд 36


Solution: Two-Sample t-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample t-Test for the Difference Between Means

Слайд 37


Section 8.2 Summary Performed a t-test for the difference between two means μ1 and μ2 using small independent samples
Описание слайда:
Section 8.2 Summary Performed a t-test for the difference between two means μ1 and μ2 using small independent samples

Слайд 38


Section 8.3 Testing the Difference Between Means (Dependent Samples)
Описание слайда:
Section 8.3 Testing the Difference Between Means (Dependent Samples)

Слайд 39


Section 8.3 Objectives Perform a t-test to test the mean of the difference for a population of paired data
Описание слайда:
Section 8.3 Objectives Perform a t-test to test the mean of the difference for a population of paired data

Слайд 40


t-Test for the Difference Between Means To perform a two-sample hypothesis test with dependent samples, the difference between each data pair is first found: d = x1 – x2 Difference between entries for a data pair
Описание слайда:
t-Test for the Difference Between Means To perform a two-sample hypothesis test with dependent samples, the difference between each data pair is first found: d = x1 – x2 Difference between entries for a data pair

Слайд 41


t-Test for the Difference Between Means Three conditions are required to conduct the test. The samples must be randomly selected. The samples must be dependent (paired). Both populations must be normally distributed. If these conditions are met, then the sampling distribution for is approximated by a t-distribution with n – 1 degrees of freedom, where n is the number of data pairs.
Описание слайда:
t-Test for the Difference Between Means Three conditions are required to conduct the test. The samples must be randomly selected. The samples must be dependent (paired). Both populations must be normally distributed. If these conditions are met, then the sampling distribution for is approximated by a t-distribution with n – 1 degrees of freedom, where n is the number of data pairs.

Слайд 42


Symbols used for the t-Test for μd
Описание слайда:
Symbols used for the t-Test for μd

Слайд 43


Symbols used for the t-Test for μd
Описание слайда:
Symbols used for the t-Test for μd

Слайд 44


t-Test for the Difference Between Means The test statistic is The standardized test statistic is The degrees of freedom are d.f. = n – 1
Описание слайда:
t-Test for the Difference Between Means The test statistic is The standardized test statistic is The degrees of freedom are d.f. = n – 1

Слайд 45


t-Test for the Difference Between Means (Dependent Samples)
Описание слайда:
t-Test for the Difference Between Means (Dependent Samples)

Слайд 46


t-Test for the Difference Between Means (Dependent Samples)
Описание слайда:
t-Test for the Difference Between Means (Dependent Samples)

Слайд 47


t-Test for the Difference Between Means (Dependent Samples)
Описание слайда:
t-Test for the Difference Between Means (Dependent Samples)

Слайд 48


Example: t-Test for the Difference Between Means
Описание слайда:
Example: t-Test for the Difference Between Means

Слайд 49


Solution: Two-Sample t-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample t-Test for the Difference Between Means

Слайд 50


Solution: Two-Sample t-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample t-Test for the Difference Between Means

Слайд 51


Solution: Two-Sample t-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample t-Test for the Difference Between Means

Слайд 52


Section 8.3 Summary Performed a t-test to test the mean of the difference for a population of paired data
Описание слайда:
Section 8.3 Summary Performed a t-test to test the mean of the difference for a population of paired data

Слайд 53


Section 8.4 Testing the Difference Between Proportions
Описание слайда:
Section 8.4 Testing the Difference Between Proportions

Слайд 54


Section 8.4 Objectives Perform a z-test for the difference between two population proportions p1 and p2
Описание слайда:
Section 8.4 Objectives Perform a z-test for the difference between two population proportions p1 and p2

Слайд 55


Two-Sample z-Test for Proportions Used to test the difference between two population proportions, p1 and p2. Three conditions are required to conduct the test. The samples must be randomly selected. The samples must be independent. The samples must be large enough to use a normal sampling distribution. That is, n1p1  5, n1q1  5, n2p2  5, and n2q2  5.
Описание слайда:
Two-Sample z-Test for Proportions Used to test the difference between two population proportions, p1 and p2. Three conditions are required to conduct the test. The samples must be randomly selected. The samples must be independent. The samples must be large enough to use a normal sampling distribution. That is, n1p1  5, n1q1  5, n2p2  5, and n2q2  5.

Слайд 56


Two-Sample z-Test for the Difference Between Proportions If these conditions are met, then the sampling distribution for is a normal distribution Mean: A weighted estimate of p1 and p2 can be found by using Standard error:
Описание слайда:
Two-Sample z-Test for the Difference Between Proportions If these conditions are met, then the sampling distribution for is a normal distribution Mean: A weighted estimate of p1 and p2 can be found by using Standard error:

Слайд 57


Two-Sample z-Test for the Difference Between Proportions The test statistic is The standardized test statistic is where
Описание слайда:
Two-Sample z-Test for the Difference Between Proportions The test statistic is The standardized test statistic is where

Слайд 58


Two-Sample z-Test for the Difference Between Proportions
Описание слайда:
Two-Sample z-Test for the Difference Between Proportions

Слайд 59


Two-Sample z-Test for the Difference Between Proportions
Описание слайда:
Two-Sample z-Test for the Difference Between Proportions

Слайд 60


Example: Two-Sample z-Test for the Difference Between Proportions In a study of 200 randomly selected adult female and 250 randomly selected adult male Internet users, 30% of the females and 38% of the males said that they plan to shop online at least once during the next month. At α = 0.10 test the claim that there is a difference between the proportion of female and the proportion of male Internet users who plan to shop online.
Описание слайда:
Example: Two-Sample z-Test for the Difference Between Proportions In a study of 200 randomly selected adult female and 250 randomly selected adult male Internet users, 30% of the females and 38% of the males said that they plan to shop online at least once during the next month. At α = 0.10 test the claim that there is a difference between the proportion of female and the proportion of male Internet users who plan to shop online.

Слайд 61


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 62


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 63


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 64


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 65


Example: Two-Sample z-Test for the Difference Between Proportions A medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researchers found that of the 4700 randomly selected subjects who took the medication, 301 died of heart disease. Of the 4300 randomly selected subjects who took a placebo, 357 died of heart disease. At α = 0.01 can you conclude that the death rate due to heart disease is lower for those who took the medication than for those who took the placebo? (Adapted from New England Journal of Medicine)
Описание слайда:
Example: Two-Sample z-Test for the Difference Between Proportions A medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researchers found that of the 4700 randomly selected subjects who took the medication, 301 died of heart disease. Of the 4300 randomly selected subjects who took a placebo, 357 died of heart disease. At α = 0.01 can you conclude that the death rate due to heart disease is lower for those who took the medication than for those who took the placebo? (Adapted from New England Journal of Medicine)

Слайд 66


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 67


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 68


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 69


Solution: Two-Sample z-Test for the Difference Between Means
Описание слайда:
Solution: Two-Sample z-Test for the Difference Between Means

Слайд 70


Section 8.4 Summary Performed a z-test for the difference between two population proportions p1 and p2
Описание слайда:
Section 8.4 Summary Performed a z-test for the difference between two population proportions p1 and p2

Скачать

Похожие презентации
Mypresentation.ru
Загрузить презентацию