If, in a sample of n = 16 selected from a normal population, X= 55 and S = 12, what is your statistical decision if the level of significance, a, is 0.01, the null hypothesis, Ho, is µ = 50, and the alternative hypothesis, H,, is u # 50? Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t. Determine the critical value(s). The critical value(s) is(are) - 2.9467, 2.9467 . (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, tSTAT: tSTAT = 1.6667 (Round to four decimal places as needed.) State your statistical decision. Choose the correct answer below. O A. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from µ = 50. O B. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from µ = 50. O c. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50. O D. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50.
If, in a sample of n = 16 selected from a normal population, X= 55 and S = 12, what is your statistical decision if the level of significance, a, is 0.01, the null hypothesis, Ho, is µ = 50, and the alternative hypothesis, H,, is u # 50? Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t. Determine the critical value(s). The critical value(s) is(are) - 2.9467, 2.9467 . (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, tSTAT: tSTAT = 1.6667 (Round to four decimal places as needed.) State your statistical decision. Choose the correct answer below. O A. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from µ = 50. O B. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from µ = 50. O c. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50. O D. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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need part c please. and how to do it in the future myself
![### Hypothesis Testing: Statistical Decision Example
**Scenario:**
In a sample of \( n = 16 \) selected from a normal population, with \( \bar{X} = 55 \) and \( S = 12 \), determine the statistical decision if the level of significance, \( \alpha \), is 0.01. The null hypothesis, \( H_0 \), is \( \mu = 50 \), and the alternative hypothesis, \( H_1 \), is \( \mu \neq 50 \).
**Critical Values Determination:**
The critical value(s) for this test are \( -2.9467, 2.9467 \).
*(Round to four decimal places as needed. Use a comma to separate answers as needed.)*
**Test Statistic Calculation:**
Calculate the test statistic, \( t_{\text{STAT}} \):
\[ t_{\text{STAT}} = 1.6667 \]
*(Round to four decimal places as needed.)*
**Statistical Decision:**
Choose the correct statistical decision below:
- **A.** The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **B.** The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **C.** The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **D.** The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F364ff841-973c-4adc-ac42-2ffc3e4d2725%2F0846ac2a-9fa7-485f-8b52-e60439bf9348%2F6hmp8t_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing: Statistical Decision Example
**Scenario:**
In a sample of \( n = 16 \) selected from a normal population, with \( \bar{X} = 55 \) and \( S = 12 \), determine the statistical decision if the level of significance, \( \alpha \), is 0.01. The null hypothesis, \( H_0 \), is \( \mu = 50 \), and the alternative hypothesis, \( H_1 \), is \( \mu \neq 50 \).
**Critical Values Determination:**
The critical value(s) for this test are \( -2.9467, 2.9467 \).
*(Round to four decimal places as needed. Use a comma to separate answers as needed.)*
**Test Statistic Calculation:**
Calculate the test statistic, \( t_{\text{STAT}} \):
\[ t_{\text{STAT}} = 1.6667 \]
*(Round to four decimal places as needed.)*
**Statistical Decision:**
Choose the correct statistical decision below:
- **A.** The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **B.** The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **C.** The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **D.** The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
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