A bottled water distributor wants to determine whether the mean amount of water

Question

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 0.03 gallon. You selected random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use alpha = 0.05.) Let mu be the population mean. Determine the null hypothesis, H_0, and the alternative hypothesis, H_1. H_0: mu = 1 H_1: mu notequalto 1 What is the test statistic? Z_STAT = -1.34 (Round to two decimal places as needed.) What is/are the critical value(s)? (Use alpha = 0.05.) (Round to two decimal places as needed. Use a comma to separate answers as needed.)

Explanation / Answer

mean 0.994 sd 0.03 u 1 n 45 a) ho: u = 1 h1: u =/= 1 b) z = (mean-u)/(sd/sqrt(n)) =(0.994-1)/(0.03/SQRT(45)) -1.34 c) -z(a/2), z(a/2) -z(0.05/2), z(0.05/2) -1.96, 1.96 [from table]

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