A local juice manufacturer distributes juice in bottles labeled 32 ounces. A government agency thinks that the company is cheating its customers. The agency selects 35 of these bottles, measures their contents, and obtains a sample mean of 31.7 ounces with a standard deviation of 0.70 ounce. Use a 5% significance level to test the agency's claim that the company is cheating its customers. The appropriate null hypothesis for this situation is: H0:  = 31.7H0: μ = 32    H0:  = 32H0: μ = 31.7 The appropriate alternative hypothesis for this situation is: Ha:  < 32Ha:  > 31.7    Ha:  < 31.7Ha:  > 32Ha: μ > 32Ha: μ < 31.7Ha: μ > 31.7Ha: μ < 32 The value of the statistic for this test is =   (round answers to three places after the decimal.) and the p-value is   (round answers to three places after the decimal.) There     enough statistical evidence, at the 5% level, that the company is cheating its customers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question

A local juice manufacturer distributes juice in bottles labeled 32 ounces. A government agency thinks that the company is cheating its customers. The agency selects 35 of these bottles, measures their contents, and obtains a sample mean of 31.7 ounces with a standard deviation of 0.70 ounce. Use a 5% significance level to test the agency's claim that the company is cheating its customers.

The appropriate null hypothesis for this situation is:

H0:  = 31.7H0: μ = 32    H0:  = 32H0: μ = 31.7



The appropriate alternative hypothesis for this situation is:

Ha:  < 32Ha:  > 31.7    Ha:  < 31.7Ha:  > 32Ha: μ > 32Ha: μ < 31.7Ha: μ > 31.7Ha: μ < 32


The value of the statistic for this test is =   (round answers to three places after the decimal.)

and the p-value is   (round answers to three places after the decimal.)

There     enough statistical evidence, at the 5% level, that the company is cheating its customers.

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill