Consider the hypotheses below. Ho: H270 H1: µ<70 Given that x 64.7, s 7.6, n 30, and a= 0.05, complete parts a and b below. 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< 7O. b) Use technology to determine the p-value for this test. p-value = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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B) what conclusion should be drawn? A, B, C, or D? Use technology to determine the p-value for the test. P-Value=____ (Round to three decimal places as needed.)
**Problem Description:**

Consider the hypotheses below:

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

Given that \( \bar{x} = 64.7 \), \( s = 7.6 \), \( n = 30 \), and \( \alpha = 0.05 \), 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?**
   - O A. Do not reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \).
   - O B. Reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \).
   - O C. Reject \( H_0 \). There is sufficient evidence to conclude that \( \mu < 70 \).
   - O 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.**

- \( p\text{-value} = \) _______
- *(Round to three decimal places as needed.)*
Transcribed Image Text:**Problem Description:** Consider the hypotheses below: - \( H_0: \mu \geq 70 \) - \( H_1: \mu < 70 \) Given that \( \bar{x} = 64.7 \), \( s = 7.6 \), \( n = 30 \), and \( \alpha = 0.05 \), 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?** - O A. Do not reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \). - O B. Reject \( H_0 \). There is not sufficient evidence to conclude that \( \mu < 70 \). - O C. Reject \( H_0 \). There is sufficient evidence to conclude that \( \mu < 70 \). - O 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.** - \( p\text{-value} = \) _______ - *(Round to three decimal places as needed.)*
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