a. Explanation It is given that the sample size n = 100 , sample mean x ¯ = 123 and the population standard deviation σ = 20 . Denote μ as the true population mean. The given test hypotheses are: Null hypothesis: H 0 : μ = 125 . Alternate hypothesis: H 1 : μ < 125 . Test statistic: The z- test statistic is: z = x ¯ − μ σ n , Where, x ¯ be the sample mean, μ be the hypothesized mean and σ be the standard deviation and n be the sample size b. To determine Find the critical region for a significance level of α = 0.02 . c. To determine Decide whether the null hypothesis H 0 is rejected at α = 0.02 level.

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ISBN: 9781259570643

Author: Navidi

Publisher: MCG

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Chapter 8.2, Problem 5CYU

To determine

Find the value of test statistic z.

To determine

Find the critical region for a significance level of α=0.02.

To determine

Decide whether the null hypothesis H0 is rejected at α=0.02 level.

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Chapter 8.2, Problem 4CYU

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Chapter 8 Solutions

Essential Statistics

Ch. 8.1 - Check Your Understanding 1. Last year, the mean...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 3CYU Ch. 8.1 - Prob. 4CYU Ch. 8.1 - Prob. 5CYU Ch. 8.1 - Prob. 6CYU Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - In Exercises 9–12, determine whether the statement...

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Find the value of test statistic z .

Find the value of test statistic z.

Find the critical region for a significance level of α=0.02.

Decide whether the null hypothesis H0 is rejected at α=0.02 level.

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Chapter 8 Solutions