Question

A college administrator is interested in knowing whether a 3-week math mini-course affects a student's grade. Twenty students are randomly selected and given a math test. These students then attend the mini-course and are retested. Assume the paired data come from a normal population for which the mean difference is 0 Compute the value of the t-test statistic and p-value for the paired data. At the 1% significance level, determine whether the mini-course actually improves a student's score.

Pre-course 68 63 82 70 65 66 64 69 72 74 71 80 59 85 57 83 43 94 82 91

Post-course 71 65 86 79 57 77 62 72 70 76 68 80 71 80 65 87 48 94 93 94

Left-, Right-, or Two-tailed:

Critical Value(s):

Is this a 2-sample z-test, 2-sample t-test, 2-prop z-test, or Paired t-test?

Show your test statistic formula, values substituted, and then result.

Test Statistic: =

Label the sketch with the critical value(s) and test statistic. Shade the rejection region(s).

Answer 1

T critical value is taken from t tabel at Alfa = 0.01 and df = 19 for one left tailed test .