A furniture store claims that a specially ordered product will take, on average, | = 42 days (6 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 10 special orders and find that the orders took a mean of 44 days to arrive. Assume that the population is normally distributed, Can we conclude at the 0.05 level of significance that the mean waiting time on special orders at this furniture store exceeds 42 days? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. O P H : X S P H , : 0 (b) Determine the type of test statistic to use. (Choose one) 0=0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) +0 00 X (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 42 days? OYes ONo