A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44.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, u, 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 47 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? Ho :0 O

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A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44.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, u, 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 47 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?
H, :0
O<O
OSO
H, :0
(b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?
(Choose one)
(c) Fill in the blanks to describe the Type I error that could occur if the true mean number of hours worked by software
engineers is 44 hours.
A Type I error would be (Choose one)
v the hypothesis that u is (Choose one)
(Choose one) ▼
when, in fact, µ is (Choose one)
Ix
Transcribed Image Text:A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44.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, u, 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 47 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? H, :0 O<O OSO H, :0 (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one) (c) Fill in the blanks to describe the Type I error that could occur if the true mean number of hours worked by software engineers is 44 hours. A Type I error would be (Choose one) v the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, µ is (Choose one) Ix
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