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An artidle indicates that self-esteem was an important predictor of those who will benefit from treatment for bulimia. The table gives the mean and standard deviation of self-esteem scores prior to treatment, at posttreatment, and during a follow-up. Pretreatment Posttreatment Follow-up Sample Mean x Standard Deviation s Sample Size n 20.2 26.7 27.8 4.2 6.5 9.3 22 22 21 A USE SALT (a) Use a test of hypothesis to determine whether there is sufficient evidence to conclude that the true pretreatment mean is less than 25. (Use a = 0.05.) State the null and alternative hypotheses. O Ho: H= 25 versus H,i = 25 O Ho: = 25 versus H: u < 25 %3D O H:H< 25 versus H: u> 25 O Ho: H< 25 versus H: u- 25 O H,: = 25 versus H: u= 25 State the test statistic. (Round your answer to three decimal places.) t- State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) State the conclusion. O H, is not rejected. There is sufficient evidence to condude that the pretreatment mean is less than 25. O H, is rejected. There is sufficient evidence to conclude that the pretreatment mean is less than 25. O H, is rejected. There is insufficient evidence to condude that the pretreatment mean is less than 25. O O H, is not rejected. There is insufficient evidence to conclude that the pretreatment mean is less than 25. (b) Construct a 95% confidence interval for the true posttreatment mean. (Round your answers to two decimal places.) to (e) without a formal statistical test, what might you conclude about the differences among the three sampled population means represented by the results in the table? O The pretreatment mean looks the same as the other two means. O The pretreatment mean looks considerably larger than the posttreatment mean only. O The pretreatment mean looks considerably larger than the other two means. O The pretreatment mean looks considerably smaller than the posttreatment mean only. O The pretreatment mean looks considerably smaller than the other two means.

An artidle indicates that self-esteem was an important predictor of those who will benefit from treatment for bulimia. The table gives the mean and standard deviation of self-esteem scores prior to treatment, at posttreatment, and during a follow-up. Pretreatment Posttreatment Follow-up Sample Mean x Standard Deviation s Sample Size n 20.2 26.7 27.8 4.2 6.5 9.3 22 22 21 A USE SALT (a) Use a test of hypothesis to determine whether there is sufficient evidence to conclude that the true pretreatment mean is less than 25. (Use a = 0.05.) State the null and alternative hypotheses. O Ho: H= 25 versus H,i = 25 O Ho: = 25 versus H: u < 25 %3D O H:H< 25 versus H: u> 25 O Ho: H< 25 versus H: u- 25 O H,: = 25 versus H: u= 25 State the test statistic. (Round your answer to three decimal places.) t- State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) State the conclusion. O H, is not rejected. There is sufficient evidence to condude that the pretreatment mean is less than 25. O H, is rejected. There is sufficient evidence to conclude that the pretreatment mean is less than 25. O H, is rejected. There is insufficient evidence to condude that the pretreatment mean is less than 25. O O H, is not rejected. There is insufficient evidence to conclude that the pretreatment mean is less than 25. (b) Construct a 95% confidence interval for the true posttreatment mean. (Round your answers to two decimal places.) to (e) without a formal statistical test, what might you conclude about the differences among the three sampled population means represented by the results in the table? O The pretreatment mean looks the same as the other two means. O The pretreatment mean looks considerably larger than the posttreatment mean only. O The pretreatment mean looks considerably larger than the other two means. O The pretreatment mean looks considerably smaller than the posttreatment mean only. O The pretreatment mean looks considerably smaller than the other two means.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An article indicates that self-esteem was an important predictor of those who will benefit from treatment for bulimia. The table gives the mean and standard deviation of self-esteem scores prior to treatment, at posttreatment, and during a follow-up. Pretreatment Posttreatment Follow-up Sample Meanx 20.2 26.7 27.8 Standard Deviation s 4.2 6.5 9.3 Sample Size n 22 22 21 n USE SALT (a) Use a test of hypothesis to determine whether there is sufficient evidence to conclude that the true pretreatment mean is less than 25. (Use a = 0.05.) State the null and alternative hypotheses. O H,: u + 25 versus H.: u = 25 O H: u = 25 versus H: u < 25 O H,: u < 25 versus H: u > 25 O H: u < 25 versus H: u = 25 O Ho: u = 25 versus H: u # 25 State the test statistic. (Round your answer to three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > State the conclusion. O H, is not rejected. There is sufficient evidence to conclude that the pretreatment mean is less than 25. O H, is rejected. There is sufficient evidence to conclude that the pretreatment mean is less than 25. O H, is rejected. There is insufficient evidence to conclude that the pretreatment mean less than 25. O H, is not rejected. There is insufficient evidence to conclude that the pretreatment mean is less than 25. (b) Construct a 95% confidence interval for the true posttreatment mean. (Round your answers to two decimal places.) to (c) Without a formal statistical test, what might you conclude about the differences among the three sampled population means represented by the results in the table? O The pretreatment mean looks the same as the other two means. O The pretreatment mean looks considerably larger than the posttreatment mean only. O The pretreatment mean looks considerably larger than the other two means. O The pretreatment mean looks considerably smaller than the posttreatment mean only. O The pretreatment mean looks considerably smaller than the other two means.
Transcribed Image Text:An article indicates that self-esteem was an important predictor of those who will benefit from treatment for bulimia. The table gives the mean and standard deviation of self-esteem scores prior to treatment, at posttreatment, and during a follow-up. Pretreatment Posttreatment Follow-up Sample Meanx 20.2 26.7 27.8 Standard Deviation s 4.2 6.5 9.3 Sample Size n 22 22 21 n USE SALT (a) Use a test of hypothesis to determine whether there is sufficient evidence to conclude that the true pretreatment mean is less than 25. (Use a = 0.05.) State the null and alternative hypotheses. O H,: u + 25 versus H.: u = 25 O H: u = 25 versus H: u < 25 O H,: u < 25 versus H: u > 25 O H: u < 25 versus H: u = 25 O Ho: u = 25 versus H: u # 25 State the test statistic. (Round your answer to three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > State the conclusion. O H, is not rejected. There is sufficient evidence to conclude that the pretreatment mean is less than 25. O H, is rejected. There is sufficient evidence to conclude that the pretreatment mean is less than 25. O H, is rejected. There is insufficient evidence to conclude that the pretreatment mean less than 25. O H, is not rejected. There is insufficient evidence to conclude that the pretreatment mean is less than 25. (b) Construct a 95% confidence interval for the true posttreatment mean. (Round your answers to two decimal places.) to (c) Without a formal statistical test, what might you conclude about the differences among the three sampled population means represented by the results in the table? O The pretreatment mean looks the same as the other two means. O The pretreatment mean looks considerably larger than the posttreatment mean only. O The pretreatment mean looks considerably larger than the other two means. O The pretreatment mean looks considerably smaller than the posttreatment mean only. O The pretreatment mean looks considerably smaller than the other two means.
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