Chapter 11.6, Problem 10E

To determine

To compare: experimental difference of means with the resampling differences in the histogram and conclude the hypothesis and also explain whether the music therapy have an effect on depression scores or not.

Answer to Problem 10E

It is concluded that the hypothesis is probably true. So, the music therapy does not have an effect on depression scores.

Explanation of Solution

Given:

Experimental difference $=-0.75$

Calculation:

“Music therapy has no effect on the depression score".

The given histogram which shows the result of simulation is approximately bell shaped and fairly symmetric; so the differences have an approximately normal distribution.

Now, the hypothesis assumes that the difference of the mean yields is 0. The exponential difference given in question is -0.75 which falls in the middle 90% of the resampling difference. This means that it is likely to get this difference, when it is assumed that the difference is 0, suggesting the control group and the treatment group does not differ much.

It is concluded that the hypothesis is probably true. So, the music therapy does not have an effect on depression scores.

Conclusion:

It is concluded that the hypothesis is probably true. So, the music therapy does not have an effect on depression scores.