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Find the standardized test statistic.

Find the standardized test statistic.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(c) Find the standardized test statistic.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). B Ο.Α. Ηο: μ267.4 OB. Ho: H=57.4 H₂H*57.4 H₂:μ<574 C. Hoi u=56 H₂:μ*55 OD. Ho: µ255 H₂H<55 OE. Ho: *57.4 OF. Ho: *55 H₂:μ=574 Η με 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ± 2.05. OB. The critical value is Identify the rejection region(s). Choose the correct answer below. B. OA Fail to reject Ho Q Fail to reject Ho Q Fail to reject Ho Q A Reject Ho Reject Ho Reject Ho A Reject Ho -4 6 (c) Find the standardized test statistic. z = (Round to two decimal places as needed.) OC. 44
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). B Ο.Α. Ηο: μ267.4 OB. Ho: H=57.4 H₂H*57.4 H₂:μ<574 C. Hoi u=56 H₂:μ*55 OD. Ho: µ255 H₂H<55 OE. Ho: *57.4 OF. Ho: *55 H₂:μ=574 Η με 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ± 2.05. OB. The critical value is Identify the rejection region(s). Choose the correct answer below. B. OA Fail to reject Ho Q Fail to reject Ho Q Fail to reject Ho Q A Reject Ho Reject Ho Reject Ho A Reject Ho -4 6 (c) Find the standardized test statistic. z = (Round to two decimal places as needed.) OC. 44
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