3.Benign prostatic hyperplasia is a noncancerous enlargement of the prostate gland that adversely affects the quality of life of millions of men. A study of a minimally invasive procedure for the treatment for this condition looked at pretreatment quality of life (QOL_BASE) and quality of life after three months on treatment (QOL_3MO). The data is shown on the following table:

Participant QOL_BASE QOL__3M

1 2 1

2 4 1

3 3 1

4 4 3

5 5 2

6 6 2

7 4 2

8 4 5

9 3 3

10 3 1

***Show work for each question***

a)Calculate differences in quality of life scores (delta) for each participant.

b)Calculate the means for QOL_BASE, QOL_3MO, and the delta (difference in QOL_BASE and QOL_3MO).

Note: You can use Excel to calculate these. Copy and paste here the Excel table (not file), showing the calculations.

c)Calculate the standard deviation of the delta (difference in QOL_BASE and QOL_3MO.

Note: You can use Excel to calculate the standard deviation. Copy and paste here the Excel table (not file), showing the calculations.

d)Test the mean difference for statistical significance. Use a two-sided alternative test and = 0.05. Include all hypotheses testing steps for full points.

e)Use the t confidence interval formula to calculate the 95% confidence interval.

f)Compare your conclusion of the hypothesis test in part d and the 95% CI in part e. What is your interpretation of the results in part d and e?