a. What is the test statistic for this sample? test statistic = Round to 3 decimal places b. What is the p-value for this sample? p-value = Use Technology Round to 4 decimal places. c. The p-value is... O less than (or equal to) a O greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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# Module 8 Online Homework

## Question 3

You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.002\).

\(H_0: \mu = 68.5\)

\(H_a: \mu > 68.5\)

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \(n = 15\) with mean \(\bar{x} = 73.1\) and a standard deviation of \(s = 6.1\).

a. What is the test statistic for this sample?
- **Test Statistic =** \_\_\_\_\_\_ (Round to 3 decimal places)

b. What is the p-value for this sample?
- **P-value =** \_\_\_\_\_\_ (Use Technology) (Round to 4 decimal places)

c. The p-value is...
- \(\circ\) less than (or equal to) \(\alpha\)
- \(\circ\) greater than \(\alpha\)

d. This test statistic leads to a decision to...
- \(\circ\) reject the null
- \(\circ\) accept the null
- \(\circ\) fail to reject the null
Transcribed Image Text:# Module 8 Online Homework ## Question 3 You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.002\). \(H_0: \mu = 68.5\) \(H_a: \mu > 68.5\) You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \(n = 15\) with mean \(\bar{x} = 73.1\) and a standard deviation of \(s = 6.1\). a. What is the test statistic for this sample? - **Test Statistic =** \_\_\_\_\_\_ (Round to 3 decimal places) b. What is the p-value for this sample? - **P-value =** \_\_\_\_\_\_ (Use Technology) (Round to 4 decimal places) c. The p-value is... - \(\circ\) less than (or equal to) \(\alpha\) - \(\circ\) greater than \(\alpha\) d. This test statistic leads to a decision to... - \(\circ\) reject the null - \(\circ\) accept the null - \(\circ\) fail to reject the null
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