1. "Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for two types of treated fabrics:

Permafresh	Hylite
12	16
13	19
10	17
15	20
16	14
11	18
14

A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 99% confidence interval for the difference in mean wrinkle recovery angle to 3 decimals:

2. Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let 1 = mean before workout.

before	77	79	78	60	68	68	65
after	79	85	81	63	70	74	72

Construct the appropriate confidence interval for the given level of significance to 3 decimals.

3. you wish to test the following claim (Ha) at a significance level of =0.001 Ho:p1=p2 Ha:p1p2 You obtain a sample from the first population with 304 successes and 411 failures. You obtain a sample from the second population with 227 successes and 195 failures. Find test statistic and pvalue to 3 decimals.