During a period of one month, a random sample of 27 approved life insurance policies is selected, and the total processing time, in days, is recorded as shown in the data table below. Total processing time, in days 75 19. 16. 64. 28. 28 31. 90. 55 53. 33. 56. 22. 18. 57. 49. 26. 17. 17. 91. 82. 63. 50 51. 69. 16. 17 In the past, the mean processing time was 41 days. At the 0.10 level of significance, is there evidence that the mean processing time has changed from 41 days? State the null and alternative hypotheses. H0: H1:_ t-stat=_ p-value=_ What assumption about the population distribution is needed in order to conduct the t-test in (a)? A. The population distribution is approximately uniform. B. The population distribution is approximately normal. C. The population distribution is skewed. Do you think that the assumption needed in order to conduct the t-test in (a) is valid? A. Yes, because the normal probability plot is a straight line. The population distribution is approximately uniform. B. No, because the normal probability plot is not a straight line. The population distribution is not approximately normal. C. Yes, because the normal probability plot is a straight line. The population distribution is approximately normal. D. No, because the normal probability plot is a straight line. The population distribution is not approximately uniform.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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During a period of one month, a random sample of 27 approved life insurance policies is selected, and the total processing time, in days, is recorded as shown in the data table below.

Total processing time, in days

75 19. 16. 64. 28. 28 31. 90. 55 53. 33. 56. 22. 18. 57. 49. 26. 17. 17. 91. 82. 63. 50 51. 69. 16. 17

In the past, the mean processing time was 41 days. At the 0.10 level of significance, is there evidence that the mean processing time has changed from 41 days?

State the null and alternative hypotheses.

H0:__

H1:___

t-stat=___

p-value=___

What assumption about the population distribution is needed in order to conduct the t-test in (a)?

A. The population distribution is approximately uniform.

B. The population distribution is approximately normal.

C. The population distribution is skewed.

Do you think that the assumption needed in order to conduct the t-test in (a) is valid?

A. Yes, because the normal probability plot is a straight line. The population distribution is approximately uniform.

B. No, because the normal probability plot is not a straight line. The population distribution is not approximately normal.

C. Yes, because the normal probability plot is a straight line. The population distribution is approximately normal.

D. No, because the normal probability plot is a straight line. The population distribution is not approximately uniform.

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