1. The weight of a group of Business Administration students has a distribution normal, with an average of 148 pounds and a standard deviation of 22 pounds.

If you use the Rule of empirical , what is the approximate percentage of students between:

a) 104 and 192 pounds, b) 82 and 214 pounds?

2. The average height of men is 67 inches and their standard deviation of two point five (2.5) inches. Joseph is 69 inches tall:

(a) What is the difference between Joseph's height and average height? b) How many standard deviations from the mean is Joseph's height approximately? Use the rule of thumb to answer this question. c) Convert Joseph's height to a Z score.

3. With an average of 98.20 and a standard deviation of 0.62, it converts the following temperatures into Z scores.

(a) 97.38 (b) 98.70 (c) 98.30

4. Which is relatively better: a score of 88 on a psychology exam or a score of 45 on an Economics exam? Psychology exam scores have an average of 90 and a standard deviation of 10. Economics test scores have an average of 51 and a standard deviation of 5.5. Use relative position measures to answer this exercise.

5. What is the highest relative score of the three scores below? Use the Z-value to answer. a) a score of 145 with a mean of 138 and a standard deviation of 35 b) a score of 92 on a test with a mean of 88 and a standard deviation of 16 c) a score of 19 on a test with a mean of 15 and a standard deviation of 6

6. In a time study conducted at a manufacturing plant, the time to complete a specified operation was measured for each of the 40 workers. The mean and standard deviation were found to be 12.9 and 1.8, respectively. Describes sample data using the rule of empirical (Mendenhall et al., 2015).

7. The mean and variance of a sample of 25 data are 85 and 100, respectively. He uses Chebyshev's theorem to describe the distribution of data.

8. The data below are the weights (in pounds) of 15 packets of ground beef in supermax supermarket refrigerators: 1.28, .90, 1.29, 1.15, .93, 1.18, .89, 1.12, 2.33, 1.94, 2.14, 2.6, 1.11, 1.9, 1.2 (Mendenhall et al., 2015). a) Construct a stem and leaf graph to show the distribution of those weights. b) Find the mean and standard deviation of the dataset.

c) Find the percentage of measurements in the empirical rule intervals.