In2017, the average credit score for loans that were purchased by agovernment-sponsored mortgage loan company was 743. A random sample of 35 mortgages recently purchased by the company wasselected, and it was found that the average credit score was 755 with a sample standard deviation of 22. Complete parts a through c.

a. Using =0.05, is there enough evidence from this sample to conclude that the average credit score for mortgages purchased by the company has increased since2017?

Determine the null and alternative hypotheses.

Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice.

Calculate the appropriate test statistic.

State the conclusion.

Determine the precisep-value for this test using Excel.

What assumptions need to be made to perform thisanalysis? Select all that apply.

A.

No assumptions are necessary.

B.

The population is normally distributed.

C.

The sample is large.

D.

The population standard deviation is small.

E.

The sample mean is large.