A furniture store claims that a specially ordered product will take, on average, ,1 = 28 days (4 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 1-5 special orders and find that the orders took a mean of 32 days to arrive. Assume that the population is normally distributed. Can we conclude at the 0.05 m mgnificance that the mean waiting time on special orders at this furniture store exceeds 28 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 H0 and the alternative hypothesis Hl' H, : o _ H] : D (b) Determine the type of test statistic to use. l-(Choose one) 1' I: