Question

1. An experiment yielded the following 23 measurements of psychomotor development index (PDI):

Treatment A (x_i): 87 86 92 68 92 78 103 87 89 90 69

Treatment B (y_i): 110 105 63 86 82 75 96 109 84 113 76 93

1. 1. compute   xbar, ybar, s_x² and s_y²
2. 2. compute s_p.
   3. compute the t-statistic for testing H₀ : µ_x= µ_yvs. H_A: µ_xis not = µ_y.
   4. will you reject H₀ at the 5% level of significance?
   5. give your p-value for the test in (3).
   6. give a 95% confidence interval for the true difference µ_x − µ_y

Answer 1