Testing: Ho: μ > 44.7 H:μ < 44.7 Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = b) At a = 0.08, the rejection region is Oz -1.75 or z > 1.75 Oz < -1.41 Oz> 1.41 Oz > 1.75 Oz < -1.75 Oz -1.41 or z > 1.41 c) The decision is to O Reject the null hypothesis Accept the alternative hypotheis O Fail to reject the null hypothesis O Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? O Type I O Type II
Testing: Ho: μ > 44.7 H:μ < 44.7 Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = b) At a = 0.08, the rejection region is Oz -1.75 or z > 1.75 Oz < -1.41 Oz> 1.41 Oz > 1.75 Oz < -1.75 Oz -1.41 or z > 1.41 c) The decision is to O Reject the null hypothesis Accept the alternative hypotheis O Fail to reject the null hypothesis O Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? O Type I O Type II
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2.)
Transcribed Image Text:**Testing:**
\( H_0: \mu \ge 44.7 \)
\( H_1: \mu < 44.7 \)
Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
\( z = \_\_\_\_\_ \)
b) At \( \alpha = 0.08 \), the rejection region is
- \( z < -1.75 \) or \( z > 1.75 \)
- \( z < -1.41 \)
- \( z > 1.41 \)
- \( z > 1.75 \)
- \( z < -1.75 \)
- \( z < -1.41 \) or \( z > 1.41 \)
c) The decision is to
- Reject the null hypothesis
- Accept the alternative hypothesis
- Fail to reject the null hypothesis
- Accept the null hypothesis
d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?
- Type I
- Type II
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