A professor asked his 16 undergraduate statistics students how many hours they s

Question

A professor asked his 16 undergraduate statistics students how many hours they studied per week on average during the semester. The professor then recorded the final course average earned by each of the 16 students. The data are as follows: (25 points).

Student#       Hours Studied        Course Average

1.                                 11                    97.40

2.                                 3                      64.00

3.                                 8                      88.23

4.                                 4                      83.80

5.                                 4                      93.45

6.                                 6                      73.85

7.                                 1                      53.75

8.                                 3                      63.55

9.                                 5                      73.15

10.                               4                      73.45

11.                               5                      83.62

12.                               1                      43.50

13.                               6                      83.40

14.                               2                      63.25

15.                               7                      73.85

16.                               4                      63.00

a. The Course Average scores represent what scale of measurement? (2 points)        _________

b.. The Hours Studied variable represent what scale of measurement? (2 points) ________

c. Write out the null hypothesis using appropriate IV and DV terms. (2 points)

Ho:

d. What is the appropriate statistical correlation to apply? (2 points). _____________________

e. Test the hypothesis at .05 alpha. Report the critical value (CV) required for significance. indicate whether the hypothesis was accepted or rejected, and report the actual correlation between Course Average and Hours Studied. (10 points).

r   =                 

CV(14 df) =

Accept or Reject? (Choose one)

f. Is the correlation significant? (Yes or No)? (Choose one). (2 points)

    If significant, at what alpha level?   Alpha at P < or > ______    (df = 14).

g. What conclusions should you draw? (5 points)

Explanation / Answer

a) The scale of Course Average scores is Marks (Quantitative data - Ratio)

b)  The scale of measurement of Hours Studied variable is Hours (also quantitative data - Ratio)

c) H0: there is no correlation between Hours Studied and Course Average

H1: there is correlation between Hours Studied and Course Average
d) Karl pearson correlation coefficient is used to determine the correlation

e)

Correlations: Studied, Course

Pearson correlation of Studied and Course r = 0.785

In Excel, =Correl(X range, Y range)

Critical value = 0.532
Here r value > r critical value So we reject H0

f) P-value = 0.0000< alpha 0.05, So we reject H0

The correlation is significant

f)

We conclude that there exist correlation between Hours Studied and Course Average

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