Note: Show your work/computation to get full credit There is a claim that the population mean is equal to 25. A sample of 16 items has a mean length of 25.8. The standard deviation of population is 1.8. The claim is to be tested at 2.5% level of significance. Answer the following questions. 1. (3 points) Write the hypothesis Null Hypothesis: Alternative hypothesis: 2. (1 point) Write the value of \( \alpha = \) 3. (3 points) Obtain the critical value (s) of z from normal table. z (critical) = 4. (3 points) Write the rule for testing. Rule: 5. (6 points) Compute the z (z-stat) value from sample data. z (stat) = 6. (2 points) Write the decision.
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A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x = 26, n = 25, σ = 7, H0: μ = 27, Ha: μ ≠ 27 The test statistic is z = ? (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) A. The critical values are ±zα/2 = ± B. The critical value is -zα = . C. The critical value is zα = . Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean is not equal to 27.
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A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x̄ = 31, n = 12, ̃ = 7, H0: ̃ = 27, Ha: ̃ > 27 The test statistic is z = 1.98. (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) A. The critical value is z̃ = B. The critical values are ±z̃/2 = ± C. The critical value is -z̃ = the null hypothesis. The data sufficient evidence to conclude that the mean is
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