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(1 point) How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn and the amount of money each won was recorded and listed below. Estimate with 98% confidence the mean winning's for all the show's players. 45278 38052 25468 30795 32654 39608 42356 38968 30921 44671 28783 38731 43786 39216 28483 UCL = LOL =In a sample of credit card holders the mean monthly value of credit card purchases was $ 222 and the sample variance was 46 ($ squared). Assume that the population distribution is normal. Answer the following, rounding your answers to two decimal places where appropriate. (a) Suppose the sample results were obtained from a random sample of 12 credit card holders. Find a 95% confidence interval for the mean monthly value of credit card purchases of all card holders. (b) Suppose the sample results were obtained from a random sample of 27 credit card holders. Find a 95% confidence interval for the mean monthly value of credit card purchases of all card holders. Before you answer (b) consider whether the confidence interval will be wider than or narrower than the confidence interval found for (a). Then check that your answer verifies this