Please show work - ensure writing is legible. A statistics tutor wants to assess
ID: 3301827 • Letter: P
Question
Please show work - ensure writing is legible.
A statistics tutor wants to assess whether her remedial tutoring has been effective for her five students. She decides to conduct a related samples t-test and records the following grades for students prior to and after receiving her tutoring. (a) Test whether or not her tutoring is effective at a 0.05 level of significance. State the value of the test statistic. t = State the decision to retain or reject the null hypothesis. Retain the null hypothesis. Reject the null hypothesis. (b) Compute effect size using estimated Cohen's d. d =Explanation / Answer
a)
t = 4.492
we reject the null as p-value for one-tail test is 0.005444 < 0.05
b) effect size = |M1 - M2|/sd
Observed difference (Sample 1 - Sample 2): 0.52
Standard Deviationof difference : 0.258844
hence
d = 0.52/0.258844
= 2.0089320
Please rate my solution
t-Test: Paired Two Sample for Means After Before Mean 3.42 2.9 Variance 0.097 0.065 Observations 5 5 Pearson Correlation 0.598206413 Hypothesized Mean Difference 0 df 4 t Stat 4.492115813 P(T<=t) one-tail 0.005444066 t Critical one-tail 2.131846786 P(T<=t) two-tail 0.010888132 t Critical two-tail 2.776445105