EBook Problems EDA IntroVar
From Socr
EBook Problems Set - The Nature of Data and Variation Problems
Problem 1
Researchers do a study on the number of cars that a person owns. They think that the distribution of their data might be normal, even though the median is much smaller than the mean. They make a p-plot. What does it look like?
- Choose one answer.
- (a) It's not a straight line.
- (b) It's a bell curve.
- (c) It's a group of points clustered around the middle of the plot.
- (d) It's a straight line.
Answer
Problem 2
Bicycles arrive at a bike shop in boxes. Before they can be sold, they must be unpacked, assembled, and tuned (lubricated, adjusted,etc). Based on past experience, the shop manager makes the following assumptions about how long this may take: The times for each setup phase are independent The times for each phase follow a Normal curve The means and standard deviations of the times (in minutes) are as shown
| Phase | Mean | SD |
| Unpacking | 3.5 | 0.7 |
| Assembly | 21.8 | 2.4 |
| Tuning | 21.8 | 2.7 |
What are the mean and standard deviation for the total bicycle set up time?
- Choose one answer.
- (a) Mean = 100 min, standard deviation = 12 min
- (b) Can't be determined with the information given
- (c) Mean = 37.6 min, standard deviation = 3.7 min
- (d) Mean = 20 min, standard deviation = 13.69 min
Answer
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