1. If, in a? (two-tail) hypothesis? test, the? p-value is 0.0383?, what is your statistical decision if you test the null hypothesis at the 0.02 level of? significance?
Choose the correct answer? below?
A. Since the? p-value is greater than α, do not reject H0.
B. Since the? p-value is Less than α, do not reject H0.
C. Since the? p-value is greater than α, reject H0.
D. Since the? p-value is less than α, reject H 0.
2. As a result of complaints from patients about wait times, the manager at a doctor's office is ready to undertake a study to determine the average wait times. Until now, the manager has believed the wait time was 3 minutes. What are the null and alternative hypotheses?
H0:
H1:
3. The? quality-control manager at a compact fluorescent light bulb? (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,550 hours. The population standard deviation is 900 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,300 hours.
a. At the 0.05 level of? significance, is there evidence that the mean life is different from 7 comma 550 hours question mark7,550 hours?
b. Compute the? p-value and interpret its meaning.
c. Construct a 95?% confidence interval estimate of the population mean life of the light bulbs.
d. Compare the results of? (a) and? (c). What conclusions do you? reach?
a. Let μ be the population mean. Determine the null? hypothesis, H0?, and the alternative? hypothesis, H1.
H0?: μ=
H1?: μ≠
What is the test? statistic?
ZSTAT=
?(Round to two decimal places as? needed.)
What? is/are the critical? value(s)?
(Round to two decimal places as needed. Use a comma to separate answers as? needed.)
What is the final? conclusion?
A. Reject H0. There is not sufficient evidence to prove that the mean life is different from 7,550 hours.
B. Fail to reject H0. There is sufficient evidence to prove that the mean life is different from 7,550 hours.
C. Reject H0. There is sufficient evidence to prove that the mean life is different from 7,550 hours.
D. Fail to reject H0. There is not sufficient evidence to prove that the mean life is different from 7,550 hours.
b. What is the? p-value?
?(Round to three decimal places as? needed.)
Interpret the meaning of the? p-value. Choose the correct answer below.
A. Reject H0. There is not sufficient evidence to prove that the mean life is different from 7,550 hours.
B. Fail to reject H0. There is sufficient evidence to prove that the mean life is different from 7,550 hours.
C. Fail to reject H0. There is not sufficient evidence to prove that the mean life is different from 7,550 hours.
D. Reject H0. There is sufficient evidence to prove that the mean life is different from 7,550 hours.
c. Construct a? 95% confidence interval estimate of the population mean life of the light bulbs.
≤μ ≤
?(Round to one decimal place as? needed.)
d. Compare the results of? (a) and? (c). What conclusions do you? reach?
A. The results of? (a) and? (c) are the? same: there is not sufficient evidence to prove that the mean life is different from 7,550 hours.
B. The results of? (a) and? (c) are the? same: there is sufficient evidence to prove that the mean life is different from 7,550 hours.
C. The results of? (a) and? (c) are not the? same: there is sufficient evidence to prove that the mean life is different from 7,550 hours.
D. The results of? (a) and? (c) are not the? same: there is not sufficient evidence to prove that the mean life is different from 7,550 hours.