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A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 49 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? μ x H₁ : H₁ (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one)▼ (c) Suppose the true mean number of hours worked by software engineers is 51 hours. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, is equal to 44 ▼the hypothesis that is less than ▼ 44 O□ ロ=ロ G □≠□

A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 49 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? μ x H₁ : H₁ (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one)▼ (c) Suppose the true mean number of hours worked by software engineers is 51 hours. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, is equal to 44 ▼the hypothesis that is less than ▼ 44 O□ ロ=ロ G □≠□

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 49 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? μ x H₁ : H₁ (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one)▼ (c) Suppose the true mean number of hours worked by software engineers is 51 hours. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, is equal to 44 ▼the hypothesis that is less than ▼ 44 O<O x □□ □>□ ロ=ロ G □≠□
Transcribed Image Text:A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 49 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? μ x H₁ : H₁ (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one)▼ (c) Suppose the true mean number of hours worked by software engineers is 51 hours. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, is equal to 44 ▼the hypothesis that is less than ▼ 44 O<O x □□ □>□ ロ=ロ G □≠□
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