Please use the following information to answer questions 43-46: 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 43: Based on the calculated test statistic, would you reject the null hypothesis established in question 42 (MUST SHOW WORK FOR THIS PROBLEM)? Group of answer choices a. yes b. no Question 44: Based on the previously conducted steps, we can conclude (MUST SHOW WORK FOR THIS PROBLEM): Group of answer choices a) Tutoring did not have a significant effect on exam scores b) Tutoring reduced the exam scores c) Tutoring had a significant effect on exam scores d) Tutoring significantly increased exam scores. Question 45: Compute Cohen’s d for this study (MUST SHOW WORK FOR THIS PROBLEM). Question 46: Interpret Cohen's d (i.e., what does it tell you about tutoring and exam scores?) Group of answer choices a. Cannot interpret Cohen's d meaningfully b. Tutoring did not shift scores c. Tutoring shifted scores down by 0.75 SD d. Tutoring shifted scores up by 0.75 SD

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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Please use the following information to answer questions 43-46:

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 43: Based on the calculated test statistic, would you reject the null hypothesis established in question 42 (MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

a. yes

b. no

Question 44: Based on the previously conducted steps, we can conclude (MUST SHOW WORK FOR THIS PROBLEM):

Group of answer choices

a) Tutoring did not have a significant effect on exam scores

b) Tutoring reduced the exam scores

c) Tutoring had a significant effect on exam scores

d) Tutoring significantly increased exam scores.

Question 45: Compute Cohen’s d for this study (MUST SHOW WORK FOR THIS PROBLEM).

Question 46: Interpret Cohen's d (i.e., what does it tell you about tutoring and exam scores?)

Group of answer choices

a. Cannot interpret Cohen's d meaningfully

b. Tutoring did not shift scores

c. Tutoring shifted scores down by 0.75 SD

d. Tutoring shifted scores up by 0.75 SD

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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