The CDC did a new study that found Americans get an average of 45 hours of sleep each week. The Sleep Research Society thinks the true average is less than 45 hours per week. They randomly survey 70 Americans and find the mean hours of sleep 42.5 with a standard deviation of 12 hours. A. State the null and alternative hypotheses. B. Calculate the Mean and Standard Error for this hypothesis test.

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16. The CDC did a new study that found Americans get an average of 45 hours of sleep each week.
The Sleep Research Society thinks the true average is less than 45 hours per week. They
randomly survey 70 Americans and find the mean hours of sleep 42.5 with a standard deviation of
12 hours.
A. State the null and alternative hypotheses.
B. Calculate the Mean and Standard Error for this hypothesis test.
C. Find the standard score (z) and p-value for test.
D. Do you Reject or Do Not Reject the null hypothesis based on 0.05 significance level?
E. What is your conclusion in context to this test?
F. What would a Type II Eror e in contet to tis prolem?
a. The conchusion was that the mean is les than 45, when in fact it is equal to 45.
b.The conclusion was that the mean is equal to 45, when in fact i is ls than 45.
c.The conclusion was that the mean is not 45, when in fact it is qual to 45.
d. The conclusion was that the mean is equal to 45, when in fact itis equal to 45.
Transcribed Image Text:16. The CDC did a new study that found Americans get an average of 45 hours of sleep each week. The Sleep Research Society thinks the true average is less than 45 hours per week. They randomly survey 70 Americans and find the mean hours of sleep 42.5 with a standard deviation of 12 hours. A. State the null and alternative hypotheses. B. Calculate the Mean and Standard Error for this hypothesis test. C. Find the standard score (z) and p-value for test. D. Do you Reject or Do Not Reject the null hypothesis based on 0.05 significance level? E. What is your conclusion in context to this test? F. What would a Type II Eror e in contet to tis prolem? a. The conchusion was that the mean is les than 45, when in fact it is equal to 45. b.The conclusion was that the mean is equal to 45, when in fact i is ls than 45. c.The conclusion was that the mean is not 45, when in fact it is qual to 45. d. The conclusion was that the mean is equal to 45, when in fact itis equal to 45.
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