In order to improve the grades of students at UTC, several incentive programs have been introduced. Results of random samples of grades from after and before the incentive programs are given below. Assume the two populations are normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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In order to improve the grades of students at UTC, several incentive programs have been introduced. Results of random samples of grades from after and before the incentive programs are given below. Assume the two populations are normally distributed.

 

After Incentives

Before Incentives

Sample Size

14

12

Sample Mean

2.85

2.61

Sample Standard Deviation

.40

.35

Sample Mode

2.5

3.0

a. Set up the hypothesis.

b. Compute the test statistic.

c. Using a .10 level of significance, test to determine whether the incentive programs have significantly increased the average grades

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