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2. The mean GPA of all students at a small college is 2.75. Suppose it is reasonable to assume that the population is normally distributed, and suppose the list below contains GPAs for a simple random sample of 8 finance majors. 2.81 3.36 3.04 2.43 3.57 2.92 3.14 3.22 Perform a hypothesis test at the 0.05 significance level to determine if there is enough evidence that the mean GPA for all finance majors differs from the mean GPA for all students at the college. a) State the null hypothesis b) State the alternate hypothesis. c) Compute the test statistic to three decimal places. d) Find the P-value to four decimal places. e) What decision should you make (reject H0 or fail to reject H0)? f) Using a complete sentence, interpret the results of the hypothesis test in the context of the problem. g) Would the decision be the same at the 0.01 significance level?

          2. The mean GPA of all students at a small college is 2.75. Suppose it is reasonable to assume that the population is normally distributed, and suppose the list below contains GPAs for a simple random sample of 8 finance majors.
2.81 3.36 3.04 2.43 3.57 2.92 3.14 3.22
Perform a hypothesis test at the 0.05 significance level to determine if there is enough evidence that the mean GPA for all finance majors differs from the mean GPA for all students at the college.
a) State the null hypothesis
b) State the alternate hypothesis.
c) Compute the test statistic to three decimal places.
d) Find the P-value to four decimal places.
e) What decision should you make (reject H0 or fail to reject H0)?
f) Using a complete sentence, interpret the results of the hypothesis test in the context of the problem.
g) Would the decision be the same at the 0.01 significance level?

2. The mean GPA of all students at a small college is 2.75. Suppose it is reasonable to assume that the population is normally distributed, and suppose the list below contains GPAs for a simple random sample of 8 finance majors.
2.81 3.36 3.04 2.43 3.57 2.92 3.14 3.22
Perform a hypothesis test at the 0.05 significance level to determine if there is enough evidence that the mean GPA for all finance majors differs from the mean GPA for all students at the college.
a) State the null hypothesis
b) State the alternate hypothesis.
c) Compute the test statistic to three decimal places.
d) Find the P-value to four decimal places.
e) What decision should you make (reject H0 or fail to reject H0)?
f) Using a complete sentence, interpret the results of the hypothesis test in the context of the problem.
g) Would the decision be the same at the 0.01 significance level?

Added by Ivan G.

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