The Water Resource Department claims that the mean pH level of the river water is 6.8. You randomly select 19 water samples and measure the pH of each. The sample mean and standard deviation are 6.7 and 0.24. Is there enough evidence to reject the company's claim at 5% level of significance? a. Which of the following statistical tests is most appropriate in this scenario? O Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test O One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 6.8 Hị : µ # 6.8 O Ho : µ # 6.8 H1 : µ = 6.8 O Ho : µ = 6.8 H1 : µ > 6.8 Ho : µ = 6.8 H1 : µ < 6.8 c. After conducting the appropriate significance test, the test statistic was found to be -1.816. Therefore, the conclusion for the test is: O Reject Ho, because p-value is less than 0.05 O Fail to reject Ho, because -1.816 falls outside the critical region Reject H1, because -1.816 falls within the critical region Fail to reject Ho, because p-value is less than 0.05

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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The Water Resource Department claims that the mean pH level of the river water is 6.8. You randomly select 19 water samples and measure the pH
of each. The sample mean and standard deviation are 6.7 and 0.24. Is there enough evidence to reject the company's claim at 5% level of
significance?
a. Which of the following statistical tests is most appropriate in this scenario?
Two-Tailed Z-Test
One-Tailed Z-Test
Two-Tailed T-Test
One-Tailed T-Test
b. What are the appropriate hypotheses for the test?
O Ho : µ = 6.8 H1 : µ # 6.8
Ho : µ + 6.8 H1 :µ = 6.8
Ho : µ = 6.8 H1 : µ > 6.8
O Ho : µ = 6.8 H1 : µ < 6.8
c. After conducting the appropriate significance test, the test statistic was found to be -1.816.
Therefore, the conclusion for the test is:
Reject Ho, because p-value is less than 0.05
O Fail to reject Ho, because -1.816 falls outside the critical region
Reject H1, because -1.816 falls within the critical region
O Fail to reject Ho, because p-value is less than 0.05
Transcribed Image Text:The Water Resource Department claims that the mean pH level of the river water is 6.8. You randomly select 19 water samples and measure the pH of each. The sample mean and standard deviation are 6.7 and 0.24. Is there enough evidence to reject the company's claim at 5% level of significance? a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? O Ho : µ = 6.8 H1 : µ # 6.8 Ho : µ + 6.8 H1 :µ = 6.8 Ho : µ = 6.8 H1 : µ > 6.8 O Ho : µ = 6.8 H1 : µ < 6.8 c. After conducting the appropriate significance test, the test statistic was found to be -1.816. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.05 O Fail to reject Ho, because -1.816 falls outside the critical region Reject H1, because -1.816 falls within the critical region O Fail to reject Ho, because p-value is less than 0.05
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