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A statistician wants to compare the average grade between students that enroll with a support course in a statistics class versus those that do not. A sample of 37 students enrolled in a support course has an average grade of 84% with a standard deviation of 20%. A sample of 100 students not enrolled in a support course have an average grade of 79% with a standard deviation of 27%. Both grade distributions are normally distributed. Take population 1 as students who enroll in a support course. At the 5% significance level determine if the average grade of students in a support course is higher than those that do not enroll in a support course.

A statistician wants to compare the average grade between students that enroll with a support course in a statistics class versus those that do not. A sample of 37 students enrolled in a support course has an average grade of 84% with a standard deviation of 20%. A sample of 100 students not enrolled in a support course have an average grade of 79% with a standard deviation of 27%. Both grade distributions are normally distributed. Take population 1 as students who enroll in a support course. At the 5% significance level determine if the average grade of students in a support course is higher than those that do not enroll in a support course.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 4: give the conclusion
Give the conclusion. Reject the null since the test statistic is not in the rejection region. Fail to reject the null since the test statistic is not in the rejection region.
Transcribed Image Text:Give the conclusion. Reject the null since the test statistic is not in the rejection region. Fail to reject the null since the test statistic is not in the rejection region.
A statistician wants to compare the average grade between students that enroll with a support course in a statistics class versus those that do not. A sample of 37 students enrolled in a support course has an average grade of 84% with a standard deviation of 20%. A sample of 100 students not enrolled in a support course have an average grade of 79% with a standard deviation of 27%. Both grade distributions are normally distributed. Take population 1 as students who enroll in a support course. At the 5% significance level determine if the average grade of students in a support course is higher than those that do not enroll in a support course.
Transcribed Image Text:A statistician wants to compare the average grade between students that enroll with a support course in a statistics class versus those that do not. A sample of 37 students enrolled in a support course has an average grade of 84% with a standard deviation of 20%. A sample of 100 students not enrolled in a support course have an average grade of 79% with a standard deviation of 27%. Both grade distributions are normally distributed. Take population 1 as students who enroll in a support course. At the 5% significance level determine if the average grade of students in a support course is higher than those that do not enroll in a support course.
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