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Claim: u = 40; a=0.08; o=3.44. Sample statistics: x 38.2, n 60 ..... Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho H<40 О В. Но и#40 Ha: p= 40 Ha: u= 40 O C. Ho p=40 Ha p#40 Ο D. H0 μ= 40 Ha p> 40 O E. Ho: H> 40 Ha p = 40 O F. Ho: = 40 Ha p< 40 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The critical values are +

Claim: u = 40; a=0.08; o=3.44. Sample statistics: x 38.2, n 60 ..... Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho H<40 О В. Но и#40 Ha: p= 40 Ha: u= 40 O C. Ho p=40 Ha p#40 Ο D. H0 μ= 40 Ha p> 40 O E. Ho: H> 40 Ha p = 40 O F. Ho: = 40 Ha p< 40 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The critical values are +

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Hypothesis Testing: Population Mean** **Test the Claim:** Evaluate the claim about the population mean, \(\mu\), at the given level of significance using the provided sample statistics. - **Claim:** \(\mu = 40\) - **Level of significance:** \(\alpha = 0.08\) - **Population standard deviation:** \(\sigma = 3.44\) - **Sample statistics:** \(\bar{x} = 38.2\), \(n = 60\) --- **Identify the Null and Alternative Hypotheses:** Select the correct pair of hypotheses from the options below: - **A.** - \(H_0\): \(\mu < 40\) - \(H_a\): \(\mu = 40\) - **B.** - \(H_0\): \(\mu \neq 40\) - \(H_a\): \(\mu = 40\) - **C.** - \(H_0\): \(\mu = 40\) - \(H_a\): \(\mu \neq 40\) - **D.** - \(H_0\): \(\mu = 40\) - \(H_a\): \(\mu > 40\) - **E.** - \(H_0\): \(\mu > 40\) - \(H_a\): \(\mu = 40\) - **F.** - \(H_0\): \(\mu = 40\) - \(H_a\): \(\mu < 40\) --- **Calculate the Standardized Test Statistic:** \[ \text{The standardized test statistic is} \ \_\_\_. \] *(Round to two decimal places as needed.)* --- **Determine the Critical Values:** Select the correct choice and fill in the answer box to complete your choice. - **A.** - The critical values are \(\pm \_\_\_\). *(Round to two decimal places as needed.)* This exercise involves hypothesis testing to evaluate a claim about the population mean, using statistical methods such as calculating the standardized test statistic and determining critical values.
Transcribed Image Text:**Hypothesis Testing: Population Mean** **Test the Claim:** Evaluate the claim about the population mean, \(\mu\), at the given level of significance using the provided sample statistics. - **Claim:** \(\mu = 40\) - **Level of significance:** \(\alpha = 0.08\) - **Population standard deviation:** \(\sigma = 3.44\) - **Sample statistics:** \(\bar{x} = 38.2\), \(n = 60\) --- **Identify the Null and Alternative Hypotheses:** Select the correct pair of hypotheses from the options below: - **A.** - \(H_0\): \(\mu < 40\) - \(H_a\): \(\mu = 40\) - **B.** - \(H_0\): \(\mu \neq 40\) - \(H_a\): \(\mu = 40\) - **C.** - \(H_0\): \(\mu = 40\) - \(H_a\): \(\mu \neq 40\) - **D.** - \(H_0\): \(\mu = 40\) - \(H_a\): \(\mu > 40\) - **E.** - \(H_0\): \(\mu > 40\) - \(H_a\): \(\mu = 40\) - **F.** - \(H_0\): \(\mu = 40\) - \(H_a\): \(\mu < 40\) --- **Calculate the Standardized Test Statistic:** \[ \text{The standardized test statistic is} \ \_\_\_. \] *(Round to two decimal places as needed.)* --- **Determine the Critical Values:** Select the correct choice and fill in the answer box to complete your choice. - **A.** - The critical values are \(\pm \_\_\_\). *(Round to two decimal places as needed.)* This exercise involves hypothesis testing to evaluate a claim about the population mean, using statistical methods such as calculating the standardized test statistic and determining critical values.
**Testing the Claim About the Population Mean** This exercise involves testing a claim about a population mean, \(\mu\), at a given significance level using the provided sample statistics. **Claim:** \(\mu = 40; \alpha = 0.08; \sigma = 3.44\) **Sample Statistics:** \(\bar{x} = 38.2, n = 60\) 1. **The standardized test statistic is \([\text{box}]\).** *(Round to two decimal places as needed.)* 2. **Determine the critical value(s).** Select the correct choice below and fill in the answer box to complete your choice. *(Round to two decimal places as needed.)* - **A.** The critical values are \(\pm [\text{box}]\). - **B.** The critical value is \([\text{box}]\). 3. **Determine the outcome and conclusion of the test.** Choose the correct answer below. - **A.** Fail to reject \(H_0\). At the 8% significance level, there is not enough evidence to reject the claim. - **B.** Reject \(H_0\). At the 8% significance level, there is enough evidence to reject the claim. - **C.** Reject \(H_0\). At the 8% significance level, there is enough evidence to support the claim. - **D.** Fail to reject \(H_0\). At the 8% significance level, there is not enough evidence to support the claim. No graphs or diagrams are present in this document.
Transcribed Image Text:**Testing the Claim About the Population Mean** This exercise involves testing a claim about a population mean, \(\mu\), at a given significance level using the provided sample statistics. **Claim:** \(\mu = 40; \alpha = 0.08; \sigma = 3.44\) **Sample Statistics:** \(\bar{x} = 38.2, n = 60\) 1. **The standardized test statistic is \([\text{box}]\).** *(Round to two decimal places as needed.)* 2. **Determine the critical value(s).** Select the correct choice below and fill in the answer box to complete your choice. *(Round to two decimal places as needed.)* - **A.** The critical values are \(\pm [\text{box}]\). - **B.** The critical value is \([\text{box}]\). 3. **Determine the outcome and conclusion of the test.** Choose the correct answer below. - **A.** Fail to reject \(H_0\). At the 8% significance level, there is not enough evidence to reject the claim. - **B.** Reject \(H_0\). At the 8% significance level, there is enough evidence to reject the claim. - **C.** Reject \(H_0\). At the 8% significance level, there is enough evidence to support the claim. - **D.** Fail to reject \(H_0\). At the 8% significance level, there is not enough evidence to support the claim. No graphs or diagrams are present in this document.
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