   Chapter 9, Problem 16P Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, a group of students from a large psychology class were given questions to be answered while studying for the final exam. The overall average for the exam was μ = 73.4 but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation s = 8.4. Use a two-tailed test with α = .01 to determine whether answering ques­tions while studying produced significantly higher exam scores.

To determine

To Find: Whether answering questions while studying produced significantly higher scores using a one-tailed test with α=0.01 and n=16

Explanation

Given info:

A sample of 16 students is selected from a population with mean 73.4. The sample mean, and standard deviation (s) is found to be 78.3 and 8.4 respectively. One-tailed hypothesis test using α=0.01 is to be performed.

Calculations:

Step 1: Null Hypothesis is H0:μ73.4 and Alternate Hypothesis is H1:μ>73.4

Step 2: For a sample of n=16 , the t-statistics will have (n1) degrees of freedom, i.e. df=15 . For a one-tailed test with α=0.01 and df=15 , the critical value (CV)  is obtained from the t-table as t=2.602

Step 3: t-statistics can be calculated using formula:

t=Mμsm

Calculate sm using the formula:

sm=sn=8.416=8

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