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Essentials of Statistics for the B...

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

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

Research has shown that losing even one night's sleep can have a significant effect on performance of complex tasks, such as problem solving (Linde & Bergstroem, 1992). To demonstrate this phenomenon, a sample of n = 25 college students was given a problem-solving task at noon on one day and again at noon on the following day. The students were not permitted any sleep between the two tests. For each student, the difference between the first and second score was recorded. For this sample, the students averaged MD= 4.7 points better on the first test with a variance of s2 = 64 for the difference scores.

a. Do the data indicate a significant change in problem-solving ability? Use a two-tailed test with α = .05.

b. Compute an estimated Cohen's d to measure the size of the effect.

a.

To determine

To check: Whether the data indicate a significant change in the problem-solving ability using two tail test.

Explanation

Given info:

The average of student MD is 4.7 and variance s2 is 64.

Calculation:

Null hypothesis:

H0:μD=0 (There is no difference between the two tests)

Alternative hypothesis:

H1:μD0 (There is difference between the two tests)

The standard deviation of the mean:

sMD=s2n

sMD=6425=2

b.

To determine
The Cohen’s d to measure the size of the effect.

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