Consider the following hypothesis test: Ho: μ < 12 Ha: μ > 12 A sample of 25 provided a sample mean = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic (to 2 decimals). b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is - Select your answer - ♦ c. At a = 0.05, what is your conclusion? - Select your answer - + : 0.05.) d. What is the rejection rule using the critical value? (Use a = Reject Ho if t is-Select your answer - the critical value of Can you conclude that the population mean is greater than 12? - Select your answer - + (to 3 decimals).
Consider the following hypothesis test: Ho: μ < 12 Ha: μ > 12 A sample of 25 provided a sample mean = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic (to 2 decimals). b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is - Select your answer - ♦ c. At a = 0.05, what is your conclusion? - Select your answer - + : 0.05.) d. What is the rejection rule using the critical value? (Use a = Reject Ho if t is-Select your answer - the critical value of Can you conclude that the population mean is greater than 12? - Select your answer - + (to 3 decimals).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Hypothesis Test Overview**
**Hypotheses:**
- Null Hypothesis (\(H_0\)): \(\mu \leq 12\)
- Alternative Hypothesis (\(H_a\)): \(\mu > 12\)
**Sample Data:**
- Sample Size (\(n\)): 25
- Sample Mean (\(\bar{x}\)): 14
- Sample Standard Deviation (\(s\)): 4.32
**Tasks:**
**a. Calculate the Test Statistic:**
Compute the value of the test statistic, providing the result to 2 decimal places.
**b. Determine the p-value Range:**
Utilize the t-distribution table (Table 2 in Appendix B) to find a range for the p-value.
Select your answer using the dropdown menu.
**c. Conclusion at \(\alpha = 0.05\):**
Based on the p-value and the significance level of 0.05, make a conclusion about the hypothesis test.
Select your answer using the dropdown menu.
**d. Rejection Rule Using the Critical Value:**
State the rejection rule using the critical value at \(\alpha = 0.05\).
**Rule:**
Reject \(H_0\) if \(t\) is [Select your answer] the critical value.
- Compute the critical value to 3 decimal places.
**Final Conclusion:**
Can you conclude that the population mean is greater than 12?
Select your answer using the dropdown menu.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1ac4a5c-5c91-4743-9545-fc03c7695e62%2Fd6b1e6b4-ed06-4ac7-8a04-8e7a917554bd%2Famzt7q_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Test Overview**
**Hypotheses:**
- Null Hypothesis (\(H_0\)): \(\mu \leq 12\)
- Alternative Hypothesis (\(H_a\)): \(\mu > 12\)
**Sample Data:**
- Sample Size (\(n\)): 25
- Sample Mean (\(\bar{x}\)): 14
- Sample Standard Deviation (\(s\)): 4.32
**Tasks:**
**a. Calculate the Test Statistic:**
Compute the value of the test statistic, providing the result to 2 decimal places.
**b. Determine the p-value Range:**
Utilize the t-distribution table (Table 2 in Appendix B) to find a range for the p-value.
Select your answer using the dropdown menu.
**c. Conclusion at \(\alpha = 0.05\):**
Based on the p-value and the significance level of 0.05, make a conclusion about the hypothesis test.
Select your answer using the dropdown menu.
**d. Rejection Rule Using the Critical Value:**
State the rejection rule using the critical value at \(\alpha = 0.05\).
**Rule:**
Reject \(H_0\) if \(t\) is [Select your answer] the critical value.
- Compute the critical value to 3 decimal places.
**Final Conclusion:**
Can you conclude that the population mean is greater than 12?
Select your answer using the dropdown menu.
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