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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 $3,566. The bank randomly selected 30 credit-card holders and determined the amounts they charged. For this sample group, the mean is $3,460 and the standard deviation is $299. It is assumed that the distribution of amounts of debt in the population of all bank customers is symmetric and bell-shaped, i.e. approximately normal. Use a 0.015 level of significance to test the claim that the mean amount charged is less than $3,566. 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 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? 0 No 0 Yes (e) Is the claim supported? O Yes, there is sufficient evidence to institute a reward program. 0 No, there is not sufficient evidence to institute a reward program. \\ > Next Question \\