Question #3

1. With an average of 70 and a standard deviation of 0.85, it converts the following data into Z scores.

(a)97 (2 points)

(b) 85.6 (2 points)

(b) 91.3 (2 points)

Question #4

1. Which is relatively better: a grade of 85 on test A or a grade of 48 on test B? Test A grades have an average of 92 and a standard deviation of 12. Test B grades have an average of 55 and a standard deviation of 6. Use relative position measures to answer this exercise (Z score) (Triola, 2004). (3 points)

Question #5

1. What is the highest relative score of the three scores below? Use the Z-value to answer. (3 points)
2. a score of 145 with a mean of 138 and a standard deviation of 35
3. a score of 92 on a test with a mean of 88 and a standard deviation of 16
4. a score of 19 on a test with a mean of 15 and a standard deviation of 6

Question #6

1. In a time study conducted at a manufacturing plant, the time to finish a specified operation was measured for each of the 40 workers. The mean and standard deviation were found to be 12.8 and 1.7, respectively. Describes sample data using the rule of thumb (Mendenhall et al., 2015).(3 points)

Question #7

1. 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.(3 points)

Question #8

1. The data below are the weights (in pounds) of 15 packages of ground beef in supermax supermarket refrigerators: 1.28, .90, 1.24, 1.15, .93, 1.18, .89, 1.12, 2.11, 1.91, 2.14, 2.6, 1.11, 1.5, 1.0 (Mendenhall et al., 2015).

a) Construct a stem and leaf graph to show the distribution of those weights. (3 points)

b)Find the mean and standard deviation of the dataset. (4 points)

c) Find the percentage of measurements in the intervals of the rule of thumb. (3 points)