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(0) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, will the researcher reject the null hypothesis? O No O Yes

(0) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, will the researcher reject the null hypothesis? O No O Yes

MATLAB: An Introduction with Applications
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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To test \( H_0: \mu = 107 \) versus \( H_1: \mu \neq 107 \) a simple random sample of size \( n = 35 \) is obtained. Complete parts a through e below. *Click here to view the t-Distribution Area in Right Tail.* --- **(c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below.** There are three graphs of t-distributions: 1. The first graph shows a left tail shaded in red. 2. The second graph shows a right tail shaded in red. 3. The third graph shows both tails shaded in red. The correct graph is the third one, which illustrates a two-tailed test. --- **(d) Approximate the P-value. Choose the correct answer below.** A. \( 0.005 < P\text{-value} < 0.01 \) B. \( 0.01 < P\text{-value} < 0.02 \) C. \( 0.002 < P\text{-value} < 0.005 \) D. \( 0.001 < P\text{-value} < 0.002 \) --- **Interpret the P-value. Choose the correct answer below.** A. If 1000 random samples of size \( n = 35 \) are obtained, about 3 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 103.8 \). B. If 1000 random samples of size \( n = 35 \) are obtained, about 3 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 107 \). C. If 100 random samples of size \( n = 35 \) are obtained, about 3 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 107 \). D. If 1000 random samples of size \( n = 35 \) are obtained, about 10 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 107 \). --- **(e) If the researcher decides to test this hypothesis at the \( \alpha = 0.05 \) level of significance, will the researcher
Transcribed Image Text:To test \( H_0: \mu = 107 \) versus \( H_1: \mu \neq 107 \) a simple random sample of size \( n = 35 \) is obtained. Complete parts a through e below. *Click here to view the t-Distribution Area in Right Tail.* --- **(c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below.** There are three graphs of t-distributions: 1. The first graph shows a left tail shaded in red. 2. The second graph shows a right tail shaded in red. 3. The third graph shows both tails shaded in red. The correct graph is the third one, which illustrates a two-tailed test. --- **(d) Approximate the P-value. Choose the correct answer below.** A. \( 0.005 < P\text{-value} < 0.01 \) B. \( 0.01 < P\text{-value} < 0.02 \) C. \( 0.002 < P\text{-value} < 0.005 \) D. \( 0.001 < P\text{-value} < 0.002 \) --- **Interpret the P-value. Choose the correct answer below.** A. If 1000 random samples of size \( n = 35 \) are obtained, about 3 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 103.8 \). B. If 1000 random samples of size \( n = 35 \) are obtained, about 3 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 107 \). C. If 100 random samples of size \( n = 35 \) are obtained, about 3 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 107 \). D. If 1000 random samples of size \( n = 35 \) are obtained, about 10 samples are expected to result in a mean as extreme or more extreme than the one observed if \( \mu = 107 \). --- **(e) If the researcher decides to test this hypothesis at the \( \alpha = 0.05 \) level of significance, will the researcher
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