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A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company
A bottled water distributor wants to determine 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-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. Question content area bottom Part 1 a. Is there evidence that the mean amount is different from 1.0 gallon? (Use alphaequals0.01.) Let mu be the population mean. Determine the null hypothesis, Upper H 0, and the alternative hypothesis, Upper H 1. Upper H 0: mu equals 1 Upper H 1: mu not equals 1 Part 2 What is the test statistic? Upper Z Subscript STATequals negative 2.23 (Round to two decimal places as needed.) Part 3 What is/are the critical value(s)? (Use alphaequals0.01.) negative 2.58 comma 2.58 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Part 4 What is the final conclusion? A. Fail to reject Upper H 0. There is not sufficient evidence that the mean amount is different from 1.0 gallon. B. Fail to reject Upper H 0. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. C. Reject Upper H 0. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0
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