The concentration level of Zinc in milligrams in two types of soil was found to be as follows Soil A:  2.1    4.0    6.3    5.4     4.8    3.7    6.1    3.3 Soil B:  0.6    3.1    2.5    4.0     6.2    1.6    2.2    1.9    5.4 To check the claim that the medians of concentration level in the two soils were unequal, we conducted an appropriate test at and we found that the test statistics is equal to   a.  57  b.  65 c.  47 d.  None   Decision   a.  we reject the claim  b.  we fail to reject the claim c.  we can’t decide d.  None

1. A study of the relation between the waistline and percent body fat in men yielded the data shown (waistline measurement in inches). waistline (x) 34.7 46.5 32.8 41.3 29.8 39.3 35.7 29.0 percent fat (y) 21.8 33.6 13.4 27.1 13.7 30.2 18.5 11.2 x = 36.1375 y = 21.1875 SSxx = 248.53875 SSay = 332.67375 SSyy = 494.30875 (a) Find the proportion of the variability in percent body fat that is accounted for by the size of the waistline. Explain fully. (b) Find the regression line for predicting y from x. (c) Construct a 95% confidence interval for the average percent body fat of all men whose waistline size is 34.0 inches. (d) test HO: Beta1 is 0 vs. Ha : Beta1 is not 0, compute the appropriate test statistic and p-value, then make your decision at a = 0.05. (e) Construct a 90% confidence interval for beta1. (f) Compute a 90% confidence interval for the average percent fat when waistline is 35.

QUESTION 2 An environmentalist wanted to determine if the mean acidity of rain differed among Ipoh, Johor Bahru and Kuantan. He randomly selected six rain dates at each city and obtained the following data: Table 2 Ipoh 5.10 5.00 4.91 5.12 4.78 5.20 Johor Bahru 4.80 4.15 4.42 4.65 4.87 4.10 Kuantan 5.45 6.23 5.55 5.10 5.42 5.25 Answer the following questions without using any output from any software. a) Construct a complete Analysis of Variance table. b) At <= 0.05, test whether the mean acidity of rain is different among the three cities. c) Based on the answer in (a) and (b), write a brief conclusion on the mean acidity of rain among Ipoh, Johor Bahru and Kuantan.

4.) A person's muscle mass is expected to decrease with age. To explore this relationship, a researcher randomly selected 10 persons from ages 40 to 79 years old and measured their muscle mass (unit). The result is as follows: X (age) Y (muscle mass) 71 64 43 67 56 73 68 56 76 65 82 91 100 68 87 73 78 80 65 84 Based on the given data, do the following: a) Plot the scatter diagram of the given data. [3pts] b) Obtain the regression line equation. [4pts] c) Estimate the muscle mass when age of the person is 60 years old. [3pts] 5.) Recognize how each shape has transformed. [2pts each] a.) b.) c.)