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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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