An industrial company claims that the mean pH level of the water in a nearby river is 6.8. You randomly select 19 water samples and measure the pH of each. The sample mean and the sample standard deviation are 6.7 and 0.24, respectively. Is there enough evidence at α = 0.05 to reject the claim that the pH level is 6.8? Assume a normally distributed population. b. You want to estimate the mean pH level of the water in a nearby river. You randomly select 19 water samples and measure the pH of each. The sample mean is 6.7 and the sample standard deviation is 0.24. Construct a 95% confidence interval for the true mean pH level. Explain how your confidence interval supports the decision you made in the hypothesis test in the previous question.

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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a. An industrial company claims that the mean pH level of the water in a nearby river is
6.8. You randomly select 19 water samples and measure the pH of each. The sample mean
and the sample standard deviation are 6.7 and 0.24, respectively. Is there enough evidence
at α = 0.05 to reject the claim that the pH level is 6.8? Assume a normally distributed
population.


b. You want to estimate the mean pH level of the water in a nearby river. You randomly select
19 water samples and measure the pH of each. The sample mean is 6.7 and the sample
standard deviation is 0.24. Construct a 95% confidence interval for the true mean pH level.
Explain how your confidence interval supports the decision you made in the hypothesis test
in the previous question.

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