A credit card company claims that the mean credit card debt for individuals is greater than $5,000. You want to test this claim. You find that a random sample of 35 cardholders has a mean credit card balance of $5,160 and a standard deviation of $625. At α=0.05, can you support the claim? Assume the population is normally distributed. a) Write the claim mathematically and identify H o and H a?(b) Find the critical value(s) and identify the rejection region(s).What is(are) the critical value(s)?(c) Find the standardized test statistic t.(e) Interpret the decision in the context of the original claim.