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Course: STAT 119, Spring 2008School: San Diego State
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119 Stat Quiz 5A Name____________________________ Red id: __________________________ Use the following information for problems 1-2 Thirteen percent of people are left-handed. A random sample of 12 persons is selected. 1. (2 points) How many left handed people do you expect to find in the sample of 12 persons? 2. (2 points) Find the probability that at least two of the 12 persons is left-handed. Answer 3. (1...
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119 Stat Quiz 5A
Name____________________________ Red id: __________________________
Use the following information for problems 1-2 Thirteen percent of people are left-handed. A random sample of 12 persons is selected. 1. (2 points) How many left handed people do you expect to find in the sample of 12 persons?
2. (2 points) Find the probability that at least two of the 12 persons is left-handed.
Answer
3. (1 point) Which of the following is NOT a property of the binomial distribution? A. There are a fixed number (n) of observations. B. The probability of success and the probability of failure must be equal. C. The observations or trials are independent. D. For each trial only two, mutually exclusive outcomes are possible.
Answer Use the following information to answer questions 4-5 At a large computer company, 88% of all employees have a college degree. Suppose a random sample of 410 employees is obtained and 85% of them have a college degree. 4. (2 points) What are the mean and standard deviation of the sample proportion?
Answer:
Mean=___________
Standard Deviation_____________
5. (2 points) What is the probability that the proportion with a college degree is at least 0.85?
Answer:
6. (3 points) Suppose that 15% of all Americans use CNN as their primary source of news. random A sample of 100 Americans is selected. What is the probability that between 10 and 22 people in your sample of 100 Americans will use CNN as their primary news source?
Answer:
Use the following to answer problems 7-10 For the population of farm workers in New Zealand, the weekly income has a distribution that is skewed to the right with a mean of $500 and a standard deviation of $160. A researcher decides to take a random sample of 120 workers. 7. (2 points) Describe the sampling distribution of the sample mean for the 120 workers.
8. (3 points) Find the probability that the total weekly income earned by the 120 workers exceeds $64500.
Answer: 9. (2 points) What is the mean weekly income for the sample of 120 workers such that the percentage above this level is 7%?
Answer: 10. (1 point) Suppose that a sample of 1200 households had been selected, instead of 120. Which of the following statements is correct? A. The variability of the sample mean would be increased, because n is larger. B. The variability of the sample mean would be unchanged; it does not depend on n. C. The variability of the sample mean would be decreased, because n is larger. D. There is not sufficient information given to know how the variability of the sample mean would be affected. Answer:
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