Math, Statistics and Probability

 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. [8 pts]

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. [7 pts]

(c) What is the p-value corresponding to your alternative hypothesis? [8 pts]

(d) State a conclusion in the context of the data. [8 pts]