llowing data are similar to the results obtained in the study.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A long history of psychology research has demonstrated that memory is usually improved by studying material on multiple occasions rather than one time only. This effect is commonly known as distributed practice or spacing effects. In a recent paper examining this effect, Cepeda et al. (2008) looked at the influence of different delays or gaps between study sessions. The results suggest that optimal long-term memory occurs when the study periods are spaced one to three weeks apart. In one part of the study, a group of participants studied a set of obscure trivia facts one day, returned the next day for a second study period, and then was tested five weeks later. A second group went through the same procedure but had a one-week gap between the two study sessions. The following data are similar to the results obtained in the study.

 

1-Day Gap Between Study Sessions
1-Week Gap Between Study Sessions
n = 20 n = 20
M = 26.4 M = 29.6
SS = 395 SS = 460
 
Do the data indicate a significant difference between the two study conditions? Use a two-tailed test with α = .05.
Pooled Variance
Estimated Standard Error
t Statistic
Critical Values
    ?     ?     ?      ?   

 Choose the best that describes this :

Reject H₀. The gaps between study sessions do not influence memory performance.
 
Fail to reject H₀. The gaps between study sessions influence memory performance.
 
Fail to reject H₀. The gaps between study sessions do not influence memory performance.
 
Reject H₀. The gaps between study sessions influence memory performance.
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