**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 < μ₂B. - H₀: μ₁ = μ₂- H₁: μ₁ ≠ μ₂C. - H₀: μ₁ ≠ μ₂- H₁: μ₁ < μ₂D. - H₀: μ₁ = μ₂- H₁: μ₁ > μ₂

Answered: significance level to test th mull and…

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significance level to test th mull and alternative hypoth =H₂

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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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

Expert Solution

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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