| 19. | Explain what a standard deviation value measures in quantitative data? |
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| 20. | The graph at the right is a bar graph of the distribution of hours spent playing video games over the past week from a collection of randomly selected teenage males in the United States. Answer the following: |
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| a. | How many teenage males were part of this study? |
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| b. | Estimate the mean and the median length of time this group of selected teenage males spent gaming during the last week. |
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| c. | Is the distribution symmetric, uniform, skewed left, skewed right, or none of these? |
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| 21. | The lengths of shoe laces in a newly operned package from various manufacturers are measured and recorded. The boxlpot to the right illustrates the summarized data collected from the various shoe laces. |
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| a. | What is the interquartile range of the shoe lace lengths? |
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| b. | Determine the median length of the shoe laces. |
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| c. | Does the distribution of the lace lengths appear to be symmetric? Why or why not? |
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| Sample problems related to text’s Chapter 4 |
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| 22. | Give examples of two different numbers that can be used to represent a probability value. Then, give examples of two numbers that can never represent a probability value. Explain why the last two values you gave cannot represent a probability value. |
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| 23. | Consider the situation where you have three game chips, each labeled with one of the the numbers 1,5,& 6 in a hat: |
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| a. | If you draw out 2 chips without replacement between each chip draw, list the entire sample space of possible results that can occur in the draw. |
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| Define two events as follows for answering parts b to h below: |
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| Event A: the sum of the 2 drawn numbers is odd. |
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| Event B: the sum of the 2 drawn numbers is a multiple of 3. |
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| Now, using your answer to part a. find the following probability values: |
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| b. | P(A)= | |||||||||||||||||
| c. | P(B)= | |||||||||||||||||
| d. | P(A&B)= | |||||||||||||||||
| e. | P(A or B)= | |||||||||||||||||
| f. | P(A given B)= | |||||||||||||||||
| g. | P(not B)= | |||||||||||||||||
| h. | Are events A and B mutually exclusive? Why or why not? |
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| 24. | Provide a written description of the complement of each of the following: |
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| a. | At least ten of the patients seen today had some infectious disease. |
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| b. | All of the patients seen today had some infectious disease. |
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| 25 | A researcher recorded the amount of time each patron at a fast food restraunt spent waiting in line for service during noontime Saturday. The frequency table at the right summarizes the data collected. First, extend the table to include a relative frequency column. Then, if we randomly select one of the patrons represented in the table, what is the proabability that the waiting time is at least 12 minutes? |
Wating Time (Minutes) |
Number of Customers |
Relative Frequency: | ||||||||||||||
| 0-3 | 8 | |||||||||||||||||
| 4-7 | 15 | |||||||||||||||||
| 8-11 | 22 | |||||||||||||||||
| 12-15 | 14 | |||||||||||||||||
| 16-19 | 5 | |||||||||||||||||
| 20-23 | 2 | |||||||||||||||||
| 26. | Explain the concept of the ?Law of Large Numbers.? |
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| 27. | The data in the accompanying table at the right compares plea and prison sentencing results from 864 randomly chosen criminal court cases. Use the two-way table shown at the right to answer the following questions. |
Guilty Plea | NOT Guilty Plea | |||||||||||||||
| Sentenced to prison | 325 | 52 | ||||||||||||||||
| a. | If one case is randomly selected, find the probability of selecting a case in which the defendant was sentence to prison. |
Not Sentenced to prison | 475 | 12 | ||||||||||||||
| b. | Find the probability of selecting a case resulting in a prison sentence, given that the defendant entered a plea of not guilty. |
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| c. | If one case is randomly selected, find the probability of selecting a case in which the defendant entered a plea of not guilty or was not sentenced to prison. |
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| d. | If two cases are randomly selected (without replacement), find the probability that both defendants entered a “not guilty” plea. |
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| e. | If one case is randomly selected, find the probability of selecting a case in which the defendant entered a plea of guilty and was not sentenced to prison. |
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| 28. | A membership committee for a local community group consists of twenty individuals. |
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| a. | If a task force of five members of this committee must be formed to investigate the membership rules, how many different task force groups might possibly be formed? |
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| b. | If a chair, vice chair, and secretary must be elected from the twenty members, how many different slates of candidates are possible? |
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| 29. | Give at least four different symbols that have been used to represent specific statistical measures. Describe what measure each represents. (Hint: use the insert symbol option in Excel to find most symbols.) |
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