Consider the following hypothesis test: Ho: µ= 16 Ha: p # 16 A sample of 50 provided a sample mean of 14.17. The population standard deviation is 6. Enter negative value as negative number. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. c. Using a = 0.05, can it be concluded that the population mean is not equal to 16? - Select your answer - d. What is the rejection rule using the critical value? Reject Ho if z is - Select your answer - e the lower critical value and is - Select your answer - * the upper critical value. Jsing a = 0.05, what are the critical values for the test statistic? (+ or -) (to 2 decimals) Can it be concluded that the population mean is not equal to 16? - Select your answer-

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**Hypothesis Test Example**

Consider the following hypothesis test:

\[ H_0: \mu = 16 \]  
\[ H_a: \mu \neq 16 \]  

A sample of 50 provided a sample mean of 14.17. The population standard deviation is 6. Enter negative value as a negative number.

a. Compute the value of the test statistic (to 2 decimals).  
- **[Input Box]**

b. What is the *p*-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations.  
- **[Input Box]**

c. Using \(\alpha = 0.05\), can it be concluded that the population mean is not equal to 16?  
- **[Select your answer - Dropdown]**

d. What is the rejection rule using the critical value?  

Reject \( H_0 \) if \( z \) is  
- **[Select your answer - Dropdown]** the lower critical value and is  
- **[Select your answer - Dropdown]** the upper critical value.

Using \(\alpha = 0.05\), what are the critical values for the test statistic? (\(+ \) or \(-\))  
- **[Input Box to 2 decimals]**

Can it be concluded that the population mean is not equal to 16?  
- **[Select your answer - Dropdown]**
Transcribed Image Text:**Hypothesis Test Example** Consider the following hypothesis test: \[ H_0: \mu = 16 \] \[ H_a: \mu \neq 16 \] A sample of 50 provided a sample mean of 14.17. The population standard deviation is 6. Enter negative value as a negative number. a. Compute the value of the test statistic (to 2 decimals). - **[Input Box]** b. What is the *p*-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. - **[Input Box]** c. Using \(\alpha = 0.05\), can it be concluded that the population mean is not equal to 16? - **[Select your answer - Dropdown]** d. What is the rejection rule using the critical value? Reject \( H_0 \) if \( z \) is - **[Select your answer - Dropdown]** the lower critical value and is - **[Select your answer - Dropdown]** the upper critical value. Using \(\alpha = 0.05\), what are the critical values for the test statistic? (\(+ \) or \(-\)) - **[Input Box to 2 decimals]** Can it be concluded that the population mean is not equal to 16? - **[Select your answer - Dropdown]**
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