An alternative to the experiment in Q.3 to investigate whether loud music tends to increase the time it takes mice to complete a maze would involve randomly assigning say, 50 mice to two groups. The 25 mice in Group A (control) will navigate the maze in silence; those in Group B (rap) will complete the maze with loud rap music.
(a) State the null and the alternative hypothesis in this case. Define (in words) the parameters of interest in this case.
The results of such an experiment are shown in the output below.
Two-sample T for Time
Group N Mean StDev SE Mean
control 25 20.45 2.39 0.48
rap 25 21.10 2.78 0.56
Difference = mu (control) - mu (rap)
Estimate for difference: -0.650
95% CI for difference: (-2.126, 0.826)
T-Test of difference = 0 (vs not =): T-Value = -0.89 P-Value = 0.380 DF = 46
(b) Use the sample summary statistics in the output to verify the value for t in this case.
(c) What is the p-value corresponding to your alternative hypothesis?
(d) State a conclusion in the context of the data.