a) What conclusion should be drawn? Determine the critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t-. (Round to two decimal places as needed.) What conclusion should be drawn? O A. Do not reject Ho. There is not sufficient evidence to conclude that u<70. O B. Reject Ho. There is not sufficient evidence to conclude that u <70. O C. Reject Ho. There is sufficient evidence to conclude that u<70. O D. Do not reject Ho. There is sufficient evidence to conclude that u< 70. b) Use technology to determine the p-value for this test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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a) what conclusion should be drawn? Determine the critical value(s) is(are) _____. (around to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic= ____ (Round to two decimal places as needed.)
**Hypothesis Testing Exercise**

Consider the hypotheses below:

- \( H_0: \mu \geq 70 \)
- \( H_1: \mu < 70 \)

Given: 
- \(\bar{x} = 64.7\)
- \( s = 7.6 \)
- \( n = 30 \)
- \( \alpha = 0.05 \)

Complete parts a) and b) below.

**a) What conclusion should be drawn?**

1. **Determine the critical value(s):**

   - **The critical value(s) is (are):** [ ]
   
   *(Round to three decimal places as needed. Use a comma to separate answers as needed.)*

2. **Determine the test statistic, \( t_x \):**

   - \( t_x = [ ] \)
   
   *(Round to two decimal places as needed.)*

3. **What conclusion should be drawn?**

*Choose one of the following:*

   - ○ A. Do not reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \).
   - ○ B. Reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \).
   - ○ C. Reject \( H_0 \). There is sufficient evidence to conclude that \( \mu < 70 \).
   - ○ D. Do not reject \( H_0 \). There is sufficient evidence to conclude that \( \mu < 70 \).

**b) Use technology to determine the p-value for this test:**

- **p-value =** [ ]
  
*(Round to three decimal places as needed.)*
Transcribed Image Text:**Hypothesis Testing Exercise** Consider the hypotheses below: - \( H_0: \mu \geq 70 \) - \( H_1: \mu < 70 \) Given: - \(\bar{x} = 64.7\) - \( s = 7.6 \) - \( n = 30 \) - \( \alpha = 0.05 \) Complete parts a) and b) below. **a) What conclusion should be drawn?** 1. **Determine the critical value(s):** - **The critical value(s) is (are):** [ ] *(Round to three decimal places as needed. Use a comma to separate answers as needed.)* 2. **Determine the test statistic, \( t_x \):** - \( t_x = [ ] \) *(Round to two decimal places as needed.)* 3. **What conclusion should be drawn?** *Choose one of the following:* - ○ A. Do not reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \). - ○ B. Reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \). - ○ C. Reject \( H_0 \). There is sufficient evidence to conclude that \( \mu < 70 \). - ○ D. Do not reject \( H_0 \). There is sufficient evidence to conclude that \( \mu < 70 \). **b) Use technology to determine the p-value for this test:** - **p-value =** [ ] *(Round to three decimal places as needed.)*
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