Chapter 11.6, Problem 9E

To determine

Toconclude: the hypothesis and explain music therapy have an effect on the depression score or not.

Answer to Problem 9E

It is concluded that the hypothesis is most likely false. So, the music therapy decreases depression scores

Explanation of Solution

Given:

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

  

Calculation:

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 exponentialdifference of $-10.875$ falls outside the graph. This means that it is unlikely to get a difference this large, when you assume that the difference is 0, suggesting the control group and the treatment group differs.

It is concludedthat the hypothesis is most likely false. So, the music therapy decreases depression scores

Conclusion:

Therefore,It is concludedthat the hypothesis is most likely false. So, the music therapy decreases depression scores