1. While there is no direct scientific measure of stress, some physical properties of the body that are believed to be related to stress include pulse rate, blood pressure, breathing rate, brain waves, muscle tension, skin resistance and body temperature. Some researchers claim that music can be relaxing and therefore can reduce stress. Fifteen patients who claim to be suffering from job related stress were selected at random. The resting pulse rate (in beats per minute) was obtained before each person participated in a month-long, music-listening, relaxation-therapy program. The resting pulse rate was also taken after the relaxation- therapy program ended." Let # denote the resting pulse rate of stressed individuals after taking the relaxation-therapy program and let #2 denote the resting pulse rate of stressed individuals before taking the relaxation-therapy program. Also let up = /1 - /2. Tables 1 and 2 present the descriptive statistics and the Shapiro-Wilk normality test for the difference (After - Before) in resting pulse rate. Use the information presented in these tables to answer parts (a) and (b). A Table 1: Descriptive Statistics Descriptives Statistic Std. Error Difference Mean -3.6000 1.39659 95% Confidence Interval Lower Bound -6.5954 for Mean Upper Bound -.6046 5% Trimmed Mean -3.6111 Median -3.0000 Variance 29.257 Std. Deviation 5.40899 Minimum -12.00 Maximum 5.00 Range 17.00 Interquartile Range 8.00 Skewness 050 580 Kurtosis -.796 1.121 Table 2: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Statistic df Sig. Statistic df Sig. Difference 135 15 .200 953 15 574 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction (a) Test, at the 0.50% level of significance, whether the relaxation-therapy program is effective in reducing the resting pulse rate for stressed individuals. Make sure you show all your workings in the 6 steps below. Step 1Step 2 Step 3 3/8 Step 4 Step 5 3 Step 6 (b) Calculate the 98% confidence interval for up. Make sure you show all your workings