Consider the hypotheses below. H0 u = 50. H0 u≠ 50 Given that x= 53, s= 20, n= 25, and a= 0.05, answer the questions below. a) what conclusions should be drawn b) use technology to determine the p value for this test Please help i am having trouble and keep getting it wrong
Consider the hypotheses below. H0 u = 50. H0 u≠ 50 Given that x= 53, s= 20, n= 25, and a= 0.05, answer the questions below. a) what conclusions should be drawn b) use technology to determine the p value for this test Please help i am having trouble and keep getting it wrong
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider the hypotheses below.
H0 u = 50. H0 u≠ 50
Given that x= 53, s= 20, n= 25, and a= 0.05, answer the questions below.
a) what conclusions should be drawn
b) use technology to determine the p value for this test
Please help i am having trouble and keep getting it wrong !

Transcribed Image Text:**Statistical Hypothesis Testing: Problem Setup**
Consider the hypotheses below:
- Null Hypothesis (\( H_0 \)): \( \mu = 50 \)
- Alternative Hypothesis (\( H_1 \)): \( \mu \neq 50 \)
Given:
- Sample mean (\( \bar{x} \)) = 53
- Standard deviation (\( s \)) = 20
- Sample size (\( n \)) = 25
- Significance level (\( \alpha \)) = 0.05
### Questions to Answer:
**a.** What conclusion should be drawn?
**b.** Use technology to determine the p-value for this test.
---
**Answer Part a: Determine the Critical Value(s)**
- **Critical value(s):**
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
- **Determine the Test Statistic, \( t_x \):**
\( t_x \) =
(Round to two decimal places as needed.)
### Conclusion:
Choose the correct answer:
- **A.** Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **B.** Reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **C.** Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
- **D.** Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from \( \mu = 50 \).
**Note:** Use statistical software or tables to find the exact critical values, test statistic, and p-value to reach a conclusion.
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