A prominent university conducted a survey on the effect of part-time work on student grade point...

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A prominent university conducted a survey on the effect ofpart-time work on student grade point average (GPA). Let xbe the hours worked per week and y the GPA for the year. Asummary of the results is below. What can the university concludewith an ? of 0.05?

n = 21

sigmay = 55

,sigma x = 520

sigmay2 = 171

, aigmax2 = 15288

sigmayx = 1275

, sigma ( y ? ?2)  = 24

a) Compute the quantities below.

Bhat0 =  , Bhat =

What GPA is predicted when a students works 9 hours a week?

b) Compute the appropriate test statistic(s)for H1: ? < 0.

Critical value =  ; Test statistic =

Decision:  

---Select---

Reject H0

Fail to reject H0

c) Compute the corresponding effect size(s) andindicate magnitude(s).

If not appropriate, input and/or select "na" below.

Effect size =  ;  

---Select---

na

trivial effect

small effect

medium effect

large effect

d) Make an interpretation based on theresults.

More hours of part-time work significantly predicts a higherGPA.

More hours of part-time work significantly predicts a lowerGPA.    

Part-time work does not significantly predict GPA.

Answer & Explanation Solved by verified expert
3.8 Ratings (480 Votes)
x 520 y 55 xy 1275 x 15288 y 171 Sample size n 21 x xn 52021 247619048 y yn 5521 261904762 SSxx x xn 15288 52021 241180952 SSyy y yn 171 5521    See Answer
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