Solutions

Please note that the steps show rounded numbers, but that the final answers to the problems are calculated without rounding.

Problem Part Solution
1 - b. We can conclude that the data are not normal.
2 - a. We can conclude that the data are normal.
3 - qqPrice
qqVolume
b. Out of the two variables Price and Share Volume, the volume shows a more distinct non-normal trend.
4 - b. False
5 - a. True
6 - a. Always has a total area under it equal to one
7 - b. The observed value is less than the mean.
8 - c. 95% of all data values fall within two standard deviations of the mean.
9 - 16%
10 - d. does not follow a normal distribution.
11 - \(z = -3.15\)
12 - d. The man has an unusually large shoe size.
13 - Eleanor’s z-score: 1.8
Gerald’s z-score: 1.5
14 - Eleanor has the higher score based on the higher z-score which factors in the mean and standard deviation when computing the scores. Eleanor’s score has a higher percentile than Gerald’s score.
15 - b. 88.5 and 91.5 grams.
16 - 0.001
17 - 0.042
18 - 90.309
19 - The candy bar is heavier than 66% of all other candy bars and lighter than 34% of all candy bars.