1. A bottled water distributor wants to dele mine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.02 gallon. You select a random sample of 55 bottles, and the mean amount of water per 1-galion bottle is 0 987 gallon. Complete parts (a] through [d) below. a. Is there evidence that the mean amount is different from 1.0 gallon7 (Use a = 0.05.) Lof u be the population mean. Determine the null hypothesis, Hy. and the allemative hypothesis, H . Hy H(1] What is the lest statistic? -STAT (Round to two decimal places as needed ) What is are the oracal value(s)? (Use a = 0.06.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. Reject H- . There is sufficient evic warrant rejection of the claim that the mean amount is different from 1.0 gallon. Reject H. . There is not suficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. D. Fall to reject Hy. There Is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. b. Compute the p-value and interpret is meaning What is the p-value? (Round to three decimal places as needed.) Interpret the meaning of the p-value Choose the correct answer below. Reject H- . There is sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 gallon. Fail to reject Hy. There is not sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 galian. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 gallon Reject H-. There is not sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 gallon. c. Construct a 95%% confidence interval estimate of the population mean amount of water per 1-gallon bottle. sus (Round to four decimal places as needed.) d. Compare the results of (a) and (C) What conclusions do you reach? The results of (a) and (c) are the same The results of (2) and [c) are not the same. PC No meaningful conclusions can be reached. (2)