Test the following claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original...

Test the following claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim.

A simple random sample of credit rating scores is​ obtained, and the scores are listed below. The mean credit score was reported to be

Assuming the population is normally distributed and the standard deviation of all credit scores is known to be

use a 0.05 significance level to test the claim that these sample credit scores come from a population with a mean equal to

a) What are the null and alternative hypotheses?

b) What is the P-value?

c) Does this reject or fail to reject H0?

d) Is there sufficient evidence to warrant rejection of the claim that these sample credit scores are from a population with a mean credit score equal to 675?