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Problem 23 A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of twenty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.5 milligrams. a) Identify the claim and state Ho and Ha. b) Find the critical value(s) corresponding to the level significance a = 0.01. c) Find the standardized test statistic z. d) At a = 0.01, can you reject the company's claim? Interpret the decision you make.

Problem 23 A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of twenty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.5 milligrams. a) Identify the claim and state Ho and Ha. b) Find the critical value(s) corresponding to the level significance a = 0.01. c) Find the standardized test statistic z. d) At a = 0.01, can you reject the company's claim? Interpret the decision you make.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Problem 23 A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of twenty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.5 milligrams. a) Identify the claim and state Họ and Ha. b) Find the critical value(s) corresponding to the level significance a = 0.01. c) Find the standardized test statistic z. d) At a = 0.01, can you reject the company’s claim? Interpret the decision you make.
Transcribed Image Text:Problem 23 A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of twenty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.5 milligrams. a) Identify the claim and state Họ and Ha. b) Find the critical value(s) corresponding to the level significance a = 0.01. c) Find the standardized test statistic z. d) At a = 0.01, can you reject the company’s claim? Interpret the decision you make.
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