2. The amount of time it takes an online retailer to process an order is normally distributed with a standard deviation of 8.1 hours. A customer claims that the mean amount of time it takes the online retailer to process orders is not 24 hours. He randomly samples 16 orders and calculates the mean amount of time to be 29.3 hours. Test the customer's claim at a 1% significance level. a) Define the parameter and random variable of interest. b) State the null and alternative hypotheses, and identify the claim. c) Determine the distribution of the test statistic. (Check the relevant criteria.) d) Calculate the test statistic. e) Find the p-value. f) State your decision. g) State your conclusion