A major bank is interested about the amount of debt being accrued by customers using its credit cards. The Board of Directors voted to institute a reward program if the mean for all of the bank's customers is less than $2,421 The bank randomly selected 19 creditcard holders and determined the amounts they charged. For this sample group, the mean is $2,169 and the standard deviation is $445. It is assumed that the distribution of amounts of debt in the population of all bank customers is symmetric and bellshaped, i.e. approximately normal. Use a 0.015 level of significance to test the claim that the mean amount charged is less than $2,421 Based on the result, will a reward program be implemented? Round to 3 decimal places where appropriate. {a} State the null and alternative hypotheses, and identify which one is the claim. Which one is the claim: 0 H.) 0 H1 For parts (b), [c] use the correct sign for the t-value and test statistic. {b} What is the critical t-value? :] {c} What is the test statistic? :} {d} Is the null hypothesis rejected? OYes O No {e} Is the claim supported? 0 No, there is not sufficient evidence to institute a reward program. 0 Yes, there is sufficient evidence to institute a reward program