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You are a researcher who is interested in studying the effects of Prozac on chil

ID: 3183160 • Letter: Y

Question

You are a researcher who is interested in studying the effects of Prozac on children. You equally divide 40 young rats into two groups: one that receives no Prozac and one group that receives one dose of Prozac. You want to determine if there is a significant effect of Prozac on learning and memory. You collect the number of errors on a task for each subject, which is listed below. Higher numbers of errors indicate lower levels of learning and memory. You analyze the data using a software program to determine if groups are significantly different from one another

Control Group Prozac Group 5 12 2 7 6 10 3 12 2 14 5 10 3 9 1 11 2 6 1 11 2 9 7 11 3 11 5 12 5 15 4 10 3 12 5 12 4 11 5 6

Explanation / Answer

we will use minitab software to do the calculation

Two-Sample T-Test and CI: Control Group, Prozac Group

Two-sample T for Control Group vs Prozac Group

N Mean StDev SE Mean
Control Group 20 3.65 1.69 0.38
Prozac Group 20 10.55 2.33 0.52


H0 : Difference = mu (Control Group) - mu (Prozac Group) =0
Estimate for difference: -6.900
95% CI for difference: (-8.203, -5.597)
T-Test of difference = 0 (vs not =): T-Value = -10.72 P-Value = 0.000 DF = 38
Both use Pooled StDev = 2.0359

here the p-value of the test is zero < 0.05=significance level

so we reject H0 at 5% level of significance that the two groups are not same rather Prozac Group is much higher than the control group