A furniture store claims that a specially ordered product will take, on average, p. = 35 days (5 weeks) to arrive. The standard deviation of these waiting times is 6 days. We suspect that the special orders are taking longer than this. To test this suspicion, we track a random sample of 60 special orders and find that the orders took a mean of 37 days to arrive. Can we conclude at the 0.05 level of signicance that the mean waiting time on special orders at this furniture store exceeds 35 days? Perform a onetailed test. Then complete the parts below. Cany your intermediate computations to three or more decimal places, and round your responses as specied below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. H : 0 Y S 3 H1 : El El\" DI: E (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) EI=EI EIEI (d) Find the critical value. (Round to three or more decimal places.) (e) Can we conclude that the mean waiting time on special orders at this furniture store exceeds 35 days? OYes ONo