Answered: A professor randomly selects a sample…

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

Please use the following information to answer questions 40-42:

A professor randomly selects a sample of 16 students to attend additional statistics tutoring sessions for the duration of the course. At the end of the semester, the students take a nationally standardized test of statistics knowledge. Their scores average 26 with SS = 960. The population mean on that normally distributed test is μ = 20. Do the data support the conclusion that the tutoring has a significant effect? Use α = .05 and show all 5 steps. If significant, how large is the effect?

Question 40: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

a. Ho: µ ≥ 0.05, H_1:µ < 0.05

b. Ho: µ ≤ 20, H_1:µ > 20

c. Ho: µ = 20, H_1:µ ≠ 20

d. Ho: µ > 16, H_1:µ ≤ 16

Question 41: Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

a. t = -2.13

b. t = 2.13

c. t = ±2.13

d. t = ±0.05

Question 42: Compute the test statistic (t-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).

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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