I ran an analysis on your Day 1 Survey data to determine if your TV watching var
ID: 3132101 • Letter: I
Question
I ran an analysis on your Day 1 Survey data to determine if your TV watching varied by class (freshman, sophomore, or junior/seniors). The question asked you to report how much time you spent watching TV in minutes in the past week. The results of my analysis are below. Write a conclusion to this test including relevant comparisons for the post-hoc tests as well.
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Freshman Sophomore Junior/Senior 54 61 64 16276 301.41 9110 149.34 10470 163.59 140082.70 25642.06 25467.42 ANOVA Source of Variation Between Groups Within Groups P-value SS 796642.2 10567354 MS F crit 2 398321 176 60041.8 21 6.634065168 0.001668 3.04731 Total 11363996 178 t-Test: Two-Sample Assuming Unequal Variances t-Test: Two-Sample Assuming Unequal Variances t-Test: Two-Sample Assuming Unequal Variances Junior Freshman Senior Junior/ Freshman Sophomore Sophomore Senior 149.344262 163.594 25642.0628 25467.4 Mean Variance Observations Hypothesized Mean df t Stat P(TExplanation / Answer
Conclusion :
From ANOVA table we say that calculated value of F > critical value of F
Hence here we reject null hypothesis.
So all means are nott same , at least one is different,
By using post hoc test we can find which mean(s) is (are ) different.
1) So first we check that is there any difference between means of Freshman and sophomore.
From the output above we get that,
Calculated t value (2.769602) > critical t value (1.994437)
So we reject null hypothesis.
So means of Freshman and sophomore are different.
2) Now we check is there any difference betweeen means of Freshman and junior/senior.
From the output above we get that
Calculated value of t (2.519461) > critical value of t ( 1.994945 )
So we reject null hypothesis.
Hence we say that means of Freshman and junior/ senior are not same.
3) Now we check if there is any difference between means of sophomore and junior/senior.
From the output above we get that
calcualted value of t (-0.4981333) < critical value of t ( -1.97943869)
So we fail to reject null hypothesis.
So we conclude that means of sophomore and junior/senior are same.
Hence we say that out of three means Freshman mean is different.