MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
**Study on Proctored and Nonproctored Tests** A study was done on proctored and nonproctored tests. The results are shown in the table below. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. | | Proctored | Nonproctored | |------------------|-----------|--------------| | μ | μ₁ | μ₂ | | n | 33 | 34 | | x̄ | 75.34 | 83.75 | | s | 11.12 | 18.29 | **a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.** What are the null and alternative hypotheses? A. - H₀: μ₁ = μ₂ - H₁: μ₁ < μ₂ B. - H₀: μ₁ = μ₂ - H₁: μ₁ ≠ μ₂ C. - H₀: μ₁ ≠ μ₂ - H₁: μ₁ < μ₂ D. - H₀: μ₁ = μ₂ - H₁: μ₁ > μ₂
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Transcribed Image Text:**Study on Proctored and Nonproctored Tests** A study was done on proctored and nonproctored tests. The results are shown in the table below. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. | | Proctored | Nonproctored | |------------------|-----------|--------------| | μ | μ₁ | μ₂ | | n | 33 | 34 | | x̄ | 75.34 | 83.75 | | s | 11.12 | 18.29 | **a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.** What are the null and alternative hypotheses? A. - H₀: μ₁ = μ₂ - H₁: μ₁ < μ₂ B. - H₀: μ₁ = μ₂ - H₁: μ₁ ≠ μ₂ C. - H₀: μ₁ ≠ μ₂ - H₁: μ₁ < μ₂ D. - H₀: μ₁ = μ₂ - H₁: μ₁ > μ₂
Expert Solution
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Step 1

Given,

For  protected groups:

sample size (n1) = 33

sample mean (x̄1) = 75.34

sample standard deviation (s1) = 11.12

For non-protected group :

sample size (n2) = 34

sample mean (x̄2) =   83.75

sample standard deviation (s2) = 18.29

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