5. When 899 male workers were asked how many hours they worked in the previous week, the mean was 45.2 with a standard deviation of 14.5. Does this suggest that the population mean work week for men is significantly different than 40 hours? Use the Inference for a Population Mean web app² to complete parts a through d. a. Identify the relevant variable and parameter. First, identify the relevant variable. Choose the correct answer below. OA. The number of hours worked in the previous week by all workers OB. The maximum number of hours worked in a week OC. The number of hours worked in the previous week by male workers OD. The proportion of male workers that worked more than 40 hours in the previous week OE. The population mean work week (in hours) for men Now identify the parameter for this situation. Choose the correct parameter below. OA. The number of hours worked in the previous week by all workers. OB. The proportion of male workers that worked more than 40 hours in the previous week C. The population mean work week (in hours) for men D. The maximum number of hours worked in a week O E. The number of hours worked in the previous week by male workers b. State the null and alternative hypotheses. Ho: H(1). Ha: H (2). (Type integers or decimals. Do not round.)

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c. Report and interpret the P-value for the test statistic value.
Enter the P-value.
P-value =
(Round to three decimal places as needed.)
Interpret the P-value. Choose the correct answer below.
A. The P-value is the probability of obtaining a sample with a mean of 40 or more hours, assuming the alternative hypothesis is
true.
B. The P-value is the probability of obtaining a sample with a mean of 40 or more hours, assuming the null hypothesis is true.
C. The P-value is the probability of obtaining a sample with a mean as extreme as 45.2 hours or more extreme, assuming the null
hypothesis is true.
D. The P-value is the probability of obtaining a sample with a mean of 45.2 hours or more, assuming the null hypothesis is true.
d. Explain how to make a decision for the significance level of 0.01.
A. Since the P-value is greater than α = 0.01, there is not enough evidence to reject the null hypothesis or to conclude that the
population mean work week for men is significantly greater than 40 hours.
B. Since the P-value is less than α = 0.01, there is sufficient evidence to reject the null hypothesis and to conclude that the
population mean work week for men is significantly different than 40 hours.
C. Since the P-value is less than α = 0.01, there is sufficient evidence to reject the alternative hypothesis and to conclude that the
population mean work week for men does not equal 40 hours.
D. Since the P-value is less than α = 0.01, there is sufficient evidence to accept the null hypothesis and to conclude that the
population mean work week for men is equal to 40 hours.
Transcribed Image Text:c. Report and interpret the P-value for the test statistic value. Enter the P-value. P-value = (Round to three decimal places as needed.) Interpret the P-value. Choose the correct answer below. A. The P-value is the probability of obtaining a sample with a mean of 40 or more hours, assuming the alternative hypothesis is true. B. The P-value is the probability of obtaining a sample with a mean of 40 or more hours, assuming the null hypothesis is true. C. The P-value is the probability of obtaining a sample with a mean as extreme as 45.2 hours or more extreme, assuming the null hypothesis is true. D. The P-value is the probability of obtaining a sample with a mean of 45.2 hours or more, assuming the null hypothesis is true. d. Explain how to make a decision for the significance level of 0.01. A. Since the P-value is greater than α = 0.01, there is not enough evidence to reject the null hypothesis or to conclude that the population mean work week for men is significantly greater than 40 hours. B. Since the P-value is less than α = 0.01, there is sufficient evidence to reject the null hypothesis and to conclude that the population mean work week for men is significantly different than 40 hours. C. Since the P-value is less than α = 0.01, there is sufficient evidence to reject the alternative hypothesis and to conclude that the population mean work week for men does not equal 40 hours. D. Since the P-value is less than α = 0.01, there is sufficient evidence to accept the null hypothesis and to conclude that the population mean work week for men is equal to 40 hours.
5. When 899 male workers were asked how many hours they worked in the previous week, the mean was 45.2 with a standard deviation of
14.5. Does this suggest that the population mean work week for men is significantly different than 40 hours? Use the
Inference for a Population Mean web app² to complete parts a through d.
a. Identify the relevant variable and parameter.
First, identify the relevant variable. Choose the correct answer below.
A. The number of hours worked in the previous week by all workers
B. The maximum number of hours worked in a week
C. The number of hours worked in the previous week by male workers
D. The proportion of male workers that worked more than 40 hours in the previous week
E. The population mean work week (in hours) for men
Now identify the parameter for this situation. Choose the correct parameter below.
A. The number of hours worked in the previous week by all workers
B. The proportion of male workers that worked more than 40 hours in the previous week
C. The population mean work week (in hours) for men
D. The maximum number of hours worked in a week
E. The number of hours worked in the previous week by male workers
b. State the null and alternative hypotheses.
Ho: μ(1)
Ha:μ (2)
(Type integers or decimals. Do not round.)
Transcribed Image Text:5. When 899 male workers were asked how many hours they worked in the previous week, the mean was 45.2 with a standard deviation of 14.5. Does this suggest that the population mean work week for men is significantly different than 40 hours? Use the Inference for a Population Mean web app² to complete parts a through d. a. Identify the relevant variable and parameter. First, identify the relevant variable. Choose the correct answer below. A. The number of hours worked in the previous week by all workers B. The maximum number of hours worked in a week C. The number of hours worked in the previous week by male workers D. The proportion of male workers that worked more than 40 hours in the previous week E. The population mean work week (in hours) for men Now identify the parameter for this situation. Choose the correct parameter below. A. The number of hours worked in the previous week by all workers B. The proportion of male workers that worked more than 40 hours in the previous week C. The population mean work week (in hours) for men D. The maximum number of hours worked in a week E. The number of hours worked in the previous week by male workers b. State the null and alternative hypotheses. Ho: μ(1) Ha:μ (2) (Type integers or decimals. Do not round.)
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