The Essentials of Statistics: A Tool for Social Research
4th Edition
ISBN: 9781305802698
Author: Joseph F. Healey
Publisher: Cengage Learning US
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Chapter 5, Problem 5.15P
A large university administers entrance exams to all entering students. The test is administered again as an exit exam for all graduates. The test results for one group of students are given in the table.
| Freshman Year | Senior Year |
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a. The scores for five students on both tests are listed below. For each student, calculate
| Student | Score, Freshman Year | Score, Senior Year |
| A | 57 | 97 |
| B | 51 | 94 |
| C | 45 | 82 |
| D | 73 | 101 |
| E | 62 | 98 |
b. Determine the probabilities that randomly selected students will have scores in each of these
| Freshman Year | |
| Score | |
| Less than 52 | |
| Less than 57 | |
| Between 40 and 50 | |
| More than 51 | |
| More than 62 | |
| Senior Year | |
| Score | Probability |
| Less than 88 | |
| Less than 98 | |
| Between 80 and 100 | |
| More than 97 | |
| More than 85 | |
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Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 30 seconds and 11 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.
Required:
a. What are the values for a and b in minutes?
Note: Do not round your intermediate calculations. Round your answers to 1 decimal place.
b-1. What is the mean time to resolve the problem?
b-2. What is the standard deviation of the time?
c. What percent of the problems take more than 5 minutes to resolve?
d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times?
Chapter 5 Solutions
The Essentials of Statistics: A Tool for Social Research
Ch. 5 - Scores on a quiz were normally distributed and had...Ch. 5 - Assume that the distribution of scores on a...Ch. 5 - The senior class has been given a comprehensive...Ch. 5 - For a normal distribution where the mean is 50 and...Ch. 5 - At St. Algebra College, the 200 freshmen enrolled...Ch. 5 - If a distribution of test scores is normal, with a...Ch. 5 - SOC A scale measuring prejudice has been...Ch. 5 - SOC On the scale mentioned in problem 5.7, if a...Ch. 5 - For a math test on which the mean score was 59 and...Ch. 5 - SOC The average number of dropouts for a school...
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