Answered: EFIXS n Proctored Nonproctored H₁ H₂ 34…

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

A study was done on proctored and nonproctored tests. The results are shown in the table. 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.

a. The test statistic, t, is

(Round to two decimal places as needed.)

b. The P-value is

(Round to three decimal places as needed.)

b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

less than mu 1 minus mu 2 less than

(Round to two decimal places as needed.)

This table presents a comparison between proctored and non-proctored conditions regarding some statistical measures:

- **Columns**: Represents two different conditions: Proctored and Nonproctored.

- **Rows**:
- **µ (Mean)**:
- Proctored (µ₁): Sample size (n) is 34, with a mean (\(\bar{x}\)) of 78.65 and a standard deviation (s) of 11.95.
- Nonproctored (µ₂): Sample size (n) is 30, with a mean (\(\bar{x}\)) of 85.76 and a standard deviation (s) of 18.67.

This data might be used to analyze the difference in performance or behavior under proctored versus non-proctored conditions.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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