Question

The following table summarizes the performance of two groups where the control group received regular instruction and the experimental group was given active learning-based instruction. Does the data suggest that the true mean for the experimental group exceeds the control group at α = 0.1?

Group	Sample Size	Sample Mean	Sample SD
Control	81	24.87	12
Experimental	85	26.43	7.95

Answer 1

Salutian let X Conol. receied regular inshuchan gup 2Expen menta goup based inshichon. oas gien ache Jearning Ser Sample size Sample mean 2487 Sample SD J2 n2z 85 Xz 26.43 795 The null cnd altmati hypothesis is the 2 Ho: 2 Vs est stohishc 1 Sp nz whore Spz nitnz-2

-122+85-1)(F35 213 l02.6159 Splo.1299 2987-26.93 To - 8) -I56 Vlo2 159 X0.024 2013 -156 JS725 Toミー0.9920 Cnhcal value t,nith2-2) = tco),81+85-2) J.28)S

Condusian since 1.281S To 6.g917 <to1164) the pvalue saEO and We fail to rejcct Ho heestore