Chapter 11.6, Problem 11E

To determine

which histogram stronger evidence against the given hypothesis.

Answer to Problem 11E

The histogram given in the exercise 9 provides stronger evidence against the hypothesis, “Music therapy has no effect on the depression score".

Explanation of Solution

Given:

  

Calculation:

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

The histogram in Exercise 9 has a roughly normal distribution and shows the mean differences from 200 resampling’s. While, the histogram in Exercise 11 is random and shows the mean differences from 20 resampling’s.

Now, it is known that more the number of resampling more is the accuracy. And since the histogram in Exercise 9 uses a larger number of resampling’s and it is roughly a normal distribution, so it suggests that the music therapy decreases depression score. But no such conclusion can be drawn from histogram of exercise 11.

Hence, the histogram given in the exercise 9 provides stronger evidence against the hypothesis, “Music therapy has no effect on the depression score".

Conclusion:

The histogram given in the exercise 9 provides stronger evidence against the hypothesis, “Music therapy has no effect on the depression score".