32. One of your distributors reports that the average sale is 150 per day. You randomly select 35 days and determine the number of sales each day. The sample mean is 143 sales with a standard deviation of 15 sales. You want to test the distributor's claim at a = 0.01. a) State the hypotheses, and identify the claim. b) Determine whether the test is left-tailed, right-tailed, or two-tailed. c) Find the standardized test statistic z. d) Find the P-value. e) Decide whether to reject the null hypothesis or not. f) Interpret the decision in the context of the claim. 33. The CEO of the company claims that the mean work day of the company's engineers is less than 8.5 hours. A random sample of 35 of engineers has a mean work day of 8.2 hours with a standard deviation of 0.5 hour. You want to test the CEO's claim at a = 0.01 a) State the hypothesis, and identify the claim. b) Determine whether the test is left-tailed, right-tailed, or two-tailed. c) Find the critical value zo and identify the rejection region. d) Find the standardized test statistic z. Sketch a graph. e) Decide whether to reject the null hypothesis. f) Interpret the decision in the context of the claim. 34. An insurance agent says that the mean cost of insuring a 2008 Honda CR-V is less than $1200. A random sample of 7 insurance quotes has a mean cost of $1125 and a standard deviation of $55. Is there enough evidence to support the agent's claim at a = 0.10 Assume the population is normally distributed. a) State the hypothesis, and identify the claim. b) Determine whether the test is left-tailed, right-tailed, or two-tailed. c) Find the critical value to and identify the rejection region. d) Find the standardized test statistic t. Sketch a graph. e) Decide whether to reject the null hypothesis. f) Interpret the decision in the context of the claim