Ho: μ = 76.6 Ha: μ # 76.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 8 with mean M 95.7 and a standard deviation of SD = 17.4. - What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This p-value leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6. O The sample data support the claim that the population mean is not equal to 76.6. O There is not sufficient sample evidence to support the claim that the population mean is not equal
Ho: μ = 76.6 Ha: μ # 76.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 8 with mean M 95.7 and a standard deviation of SD = 17.4. - What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This p-value leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6. O The sample data support the claim that the population mean is not equal to 76.6. O There is not sufficient sample evidence to support the claim that the population mean is not equal
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Hypothesis Testing at a Significance Level of α = 0.01**
You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.01\).
\(H_0: \mu = 76.6\)
\(H_a: \mu \neq 76.6\)
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \(n = 8\) with a mean \(M = 95.7\) and a standard deviation of \(SD = 17.4\).
**Steps to Determine the p-value for this Sample (Report answer accurate to four decimal places.)**
Calculating the p-value:
\[ \text{p-value } = \_\_\_\_\_\_ \]
**Interpreting the p-value:**
The p-value is:
- Less than (or equal to) \(\alpha\)
- Greater than \(\alpha\)
**Decision Making Based on the p-value:**
This p-value leads to a decision to:
- Reject the null hypothesis
- Accept the null hypothesis
- Fail to reject the null hypothesis
**Final Conclusion:**
As such, the final conclusion is that:
- There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6.
- The sample data support the claim that the population mean is not equal to 76.6.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 76.6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e430c38-0656-4a76-bebe-fd6f38ec54ed%2F87e2608d-79a6-495d-b157-9e09bc7bcee9%2Fsfycfg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing at a Significance Level of α = 0.01**
You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.01\).
\(H_0: \mu = 76.6\)
\(H_a: \mu \neq 76.6\)
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \(n = 8\) with a mean \(M = 95.7\) and a standard deviation of \(SD = 17.4\).
**Steps to Determine the p-value for this Sample (Report answer accurate to four decimal places.)**
Calculating the p-value:
\[ \text{p-value } = \_\_\_\_\_\_ \]
**Interpreting the p-value:**
The p-value is:
- Less than (or equal to) \(\alpha\)
- Greater than \(\alpha\)
**Decision Making Based on the p-value:**
This p-value leads to a decision to:
- Reject the null hypothesis
- Accept the null hypothesis
- Fail to reject the null hypothesis
**Final Conclusion:**
As such, the final conclusion is that:
- There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 76.6.
- The sample data support the claim that the population mean is not equal to 76.6.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 76.6.
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