Question

8. A student scores 56 on a geography test and 285 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 20. The mathematics test has a mean of 300 and a standard deviation of 10. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? (You must show proper work to receive credit on this problem) 9. The percentage of measurements that are above the 39th percentile is A)39% B)61% C)40% D) cannot determine 10. To study the physical fitness of a sample of 28 people, the data below were collected representing the number of sit-ups that a person could do in one minute. Find the five-number summary 11. Given the following five-number summary, find the interquartile range 29, 5.7, 10.0, 13.2, 21.1. 12. Given the following five-number summary, find the fences 29, 5.7, 10.0, 13.2, 21.1. Lower Fence Upper Fence"- 13. The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Draw a modified boxplot that represents the data 154 156 165 165 170 171 172 180 184 185 189 189 190 192 195 198 198 200 200 200 205 205 211 215 220 220 225 238 255 275 14. Based on the information given in the boxplot below, what shape do you believe the data to have? A) The data is skewed left. B) The data is symmetric C) Skewness or symmetry cannot be determined by a box plot. D) The data is skewed right. 30 Number of chidre

Answer 1

Answer:

(8)

By using given data,

Geography:

Mean = $\mu$ = 80

SD = $\sigma$ = 20

X = 56

Transforming to Standard Normal Variate:
Z = (X - $\mu$)/$\sigma$

= (56 - 80)/20

= - 1.2

Mathematics:
Mean = $\mu$ = 300

SD = $\sigma$ = 10

X = 285

Z = (X - $\mu$)/$\sigma$

= (285- 300)/10

= - 1.5

Since the Z score are different for both geography and mathematics, here student scored are also different levels the subjects .