A prominent university conducted a survey on the effect of part-time work on student grade point average (GPA). Let x be the hours worked per week and y the GPA for the year. A summary of the results is below. What can the university conclude with an a of 0.10? n = 24 Ey = 59, Ex = 519 Ey2 = 171, x² = 13638 ΣΧ- 1333 , ΣΥ-- = 25 a) Compute the quantities below. Bo = What GPA is predicted when a students works 26 hours a week? b) Obtain/compute the appropriate values for H1: B < 0. Critical Value = | Decision: ---Select-- ; Test Statistic = c) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below. Effect Size = ; Magnitude: --Select-- d) Make an interpretation based on the results. O More hours of part-time work significantly predicts a higher GPA. O More hours of part-time work significantly predicts a lower GPA. O Part-time work does not significantly predict GPA.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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A prominent university conducted a survey on the effect of part-time work on student grade point average (GPA). Let x be the hours worked per week and y the GPA for the year. A summary of the
results is below. What can the university conclude with an a of 0.10?
n = 24
Ev=
y = 59, x
E
= 519
Ey2 = 171, ) x² = 13638
%3D
Evx = (v-9)° = 25
1333 ,
a) Compute the quantities below.
=
What GPA is predicted when a students works 26 hours a week?
b) Obtain/compute the appropriate values for H1: B < 0.
Critical Value =
; Test Statistic =
Decision: ---Select---
c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
Effect Size
; Magnitude: ---Select---
%D
d) Make an interpretation based on the results.
More hours of part-time work significantly predicts a higher GPA.
More hours of part-time work significantly predicts a lower GPA.
Part-time work does not significantly predict GPA.
Transcribed Image Text:A prominent university conducted a survey on the effect of part-time work on student grade point average (GPA). Let x be the hours worked per week and y the GPA for the year. A summary of the results is below. What can the university conclude with an a of 0.10? n = 24 Ev= y = 59, x E = 519 Ey2 = 171, ) x² = 13638 %3D Evx = (v-9)° = 25 1333 , a) Compute the quantities below. = What GPA is predicted when a students works 26 hours a week? b) Obtain/compute the appropriate values for H1: B < 0. Critical Value = ; Test Statistic = Decision: ---Select--- c) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below. Effect Size ; Magnitude: ---Select--- %D d) Make an interpretation based on the results. More hours of part-time work significantly predicts a higher GPA. More hours of part-time work significantly predicts a lower GPA. Part-time work does not significantly predict GPA.
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