A researcher wanted to examine the effect of a new math study skills program on second graders. Twenty-five students took the new study skills program for six weeks and then took a standardized math exam, which is known to have a population mean score of µ = 80 (this is the mean for the entire population of students who have not taken the new math study skills program). The

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A researcher wanted to examine the effect of a new math study skills program on second graders. Twenty-five students took the new study skills program for six weeks and then took a standardized math exam, which is known to have a population mean score of µ = 80 (this is the mean for the entire population of students who have not taken the new math study skills program). The mean and variance on the exam for the 25 students (who took the new study skills program) are reported below.

The mean of the n = 25 students was M = 85 with a sample variance (s2) of 100.

Test to see whether the students who took the new study skills program have significantly different test scores than the national average of µ = 80. Use α = .05, 2-tailed.

Step 3. Calculate and report the test statistic below.

Step 4. Make a decision regarding H0 below (reject H0/Fail to reject H0). 

 

 

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