To test Ho: p= 100 versus H₂ uz 100, a simple random sample size of n=21 is obtained from a population that is known to be normally distributed. Answer parts (a)(d) Click here to view the t-Distribution Area in Right Tail. (a) If x=105 and s=9.8, compute the test statistic. t= 2.338 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a=0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)
To test Ho: p= 100 versus H₂ uz 100, a simple random sample size of n=21 is obtained from a population that is known to be normally distributed. Answer parts (a)(d) Click here to view the t-Distribution Area in Right Tail. (a) If x=105 and s=9.8, compute the test statistic. t= 2.338 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a=0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
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Need help with part (b) please. Thanks
![### Hypothesis Testing on a Sample Mean with a Single Population
To test \( H_0: \mu = 100 \) versus \( H_1: \mu \neq 100 \), a simple random sample size of \( n = 21 \) is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
#### t-Distribution Area in Right Tail
(There is an instruction to click to view, but since this is text, you would presumably click on a link or button in the webpage for further details on the t-distribution area in the right tail.)
---
#### Part (a)
If \( \bar{x} = 105 \) and \( s = 9.8 \), compute the test statistic.
\[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} = \frac{105 - 100}{9.8 / \sqrt{21}} \approx 2.338 \]
(Round to three decimal places as needed)
#### Part (b)
If the researcher decides to test this hypothesis at the \( \alpha = 0.01 \) level of significance, determine the critical values.
The critical values are:
\[ \pm 2.831 \]
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
---
For more detailed steps, you might include how to obtain the t-value from a t-distribution table or any software output, and also how to determine the critical values using the degrees of freedom (df = n-1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb4941db-493e-4a2b-a2c5-7e73113da3b9%2Fb8bf71fe-494e-479b-915a-64653620dc0c%2Fri28xos_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing on a Sample Mean with a Single Population
To test \( H_0: \mu = 100 \) versus \( H_1: \mu \neq 100 \), a simple random sample size of \( n = 21 \) is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
#### t-Distribution Area in Right Tail
(There is an instruction to click to view, but since this is text, you would presumably click on a link or button in the webpage for further details on the t-distribution area in the right tail.)
---
#### Part (a)
If \( \bar{x} = 105 \) and \( s = 9.8 \), compute the test statistic.
\[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} = \frac{105 - 100}{9.8 / \sqrt{21}} \approx 2.338 \]
(Round to three decimal places as needed)
#### Part (b)
If the researcher decides to test this hypothesis at the \( \alpha = 0.01 \) level of significance, determine the critical values.
The critical values are:
\[ \pm 2.831 \]
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
---
For more detailed steps, you might include how to obtain the t-value from a t-distribution table or any software output, and also how to determine the critical values using the degrees of freedom (df = n-1).
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