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Statistics
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Statistical Techniques
Quiz 7: Continuous Probability Distributions
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Question 101
Short Answer
From past history, the scores on a statistics test are normally distributed with a mean score of 70 and a standard deviation of 5. To earn a "C" on the test, a student must be in the top 25% of the class. What should a student score to receive a "C"? _______
Question 102
Essay
A study conducted by a local tennis center revealed that 25 percent of its new members have novice level tennis skills. A membership drive in a metropolitan area resulted in 500 new members. It has been suggested that the normal approximation to the binomial be used to calculate various probabilities. In this problem, can the normal approximation to the binomial be applied? Explain.
Question 103
Short Answer
Two business major students, in two different sections of an economics class, were comparing test scores. The following gives the students scores, class mean, and standard deviation for each section.
Which student scored better compared to the rest of the section? _______________
Question 104
Short Answer
A major credit card company has determined that customers charge between $100 and $1100 per month. Given that the average monthly amount charged is uniformly distributed, what is the average monthly amount charged? _______
Question 105
Short Answer
A sample of 500 evening students revealed that their annual incomes were normally distributed with a mean income of $30,000 and a standard deviation of $3,000. What is the income that separates the top 25% from the lower 75% of the incomes?
Question 106
Short Answer
The weight of a bag of corn chips is normally distributed with a mean of 22 ounces and a standard deviation of ½ ounces. What is the probability that a bag of corn chips weighs between 20.75 and 23.25 ounces? _____