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Solve A, B & C. It's a multiple choice question. Please provide correct answer.

Solve A, B & C. It's a multiple choice question. Please provide correct answer.

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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Solve A, B & C. It's a multiple choice question. Please provide correct answer.
An instructor of statistics believes that the mean score of students on the first statistics test is 65 out of 100 marks. He randomly samples 10 statistics student scores and obtains the average scores as 63 with a standard deviation of 5.01. He performs a hypothesis test to know whether the mean score of students is varied from 65 by using a 5% level of significance. A). Which of the following statistical tests is most appropriate in this scenario? 1. Two-Tailed Z-Test 2. One-Tailed Z-Test 3. Two-Tailed T-Test 4. One-Tailed T-Test B) What are the appropriate hypotheses for the test? 1. H_0: µ = 65; H_1: µ < 65 2. H_0 : µ = 65; H_1 :µ # 65 3. Η 0: μ = 65; H_1: μ > 5 4. Η-0: μ = 65; H 1: μ-63 C) After conducting the appropriate significance test, the test statistic was found to be -1.26. Therefore, the conclusion for the test is: 1. Reject H_o, because p-value is less than 0.05 2. Fail to reject H 1, because -1.26 falls outside the critical region 3. Reject H_o, because -1.26 falls within the critical region 4. Fail to reject H_o, because p-value is greater than 0.05
Transcribed Image Text:An instructor of statistics believes that the mean score of students on the first statistics test is 65 out of 100 marks. He randomly samples 10 statistics student scores and obtains the average scores as 63 with a standard deviation of 5.01. He performs a hypothesis test to know whether the mean score of students is varied from 65 by using a 5% level of significance. A). Which of the following statistical tests is most appropriate in this scenario? 1. Two-Tailed Z-Test 2. One-Tailed Z-Test 3. Two-Tailed T-Test 4. One-Tailed T-Test B) What are the appropriate hypotheses for the test? 1. H_0: µ = 65; H_1: µ < 65 2. H_0 : µ = 65; H_1 :µ # 65 3. Η 0: μ = 65; H_1: μ > 5 4. Η-0: μ = 65; H 1: μ-63 C) After conducting the appropriate significance test, the test statistic was found to be -1.26. Therefore, the conclusion for the test is: 1. Reject H_o, because p-value is less than 0.05 2. Fail to reject H 1, because -1.26 falls outside the critical region 3. Reject H_o, because -1.26 falls within the critical region 4. Fail to reject H_o, because p-value is greater than 0.05
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