.(20 points) A credit card company claims that the mean credit card debt for individuals is greater than $5000. You want to test this claim. You find that a random

sample of 37 card-holders has a mean credit card balance of $5122 and a standard deviation of $625. Assume the population is normally distributed. (1) Identify the claim and state Ho and Ha. (2) Find the critical value(s) and identify the rejection region(s). (3) Find the standardized test statistic t. (4) At a 0.10, decide whether to reject or fail to reject the null hypothesis,can you support the claim?