Statistics help please 1. The University of Iowa would like to advertise that th
ID: 3023971 • Letter: S
Question
Statistics help please
1. The University of Iowa would like to advertise that the population mean High School GPA (HS_GPA) of its incoming first-year students is 3.6 or higher. So:
HA: HSgpa3.6
We sample 200 first-year students and calculate an average GPA of 3.7. Suppose that H0: Average GPA is 3.6 or lower. Can the UI make this claim?
A. There is not enough information in the problem. You need to know the standard error of the smple mean HS GPA.
No, because 3.7 is too close to 3.6 to reject H0.
C. Yes, because 3.7 is bigger than 3.6.
D. No, because the sample size isn't big enough.
2. The number of customers shopping at a particular store has been, on average, 25 per day. A new marketing campaign is launched, and the store owner wants to know whether that average has increased. She gathers data over a week in order to test:
H0:25
against the alternative:
HA:>25
The owner uses a significance level of 0.12. The power of the test is 0.80 when = 27.
When = 25, the probability that the owner rejects H0 is ________. Put your answer in decimal form and use two decimal places.
When = 27, the probability that the owner fails to reject H0 is _______. Again, two decimals and decimal form.
A. There is not enough information in the problem. You need to know the standard error of the smple mean HS GPA.
B.No, because 3.7 is too close to 3.6 to reject H0.
C. Yes, because 3.7 is bigger than 3.6.
D. No, because the sample size isn't big enough.
Explanation / Answer
1. Ans: A. There is not enough information in the problem. You need to know the standard error of the smple mean HS GPA.