Chapter 6: Q.31 (page 357)
Better readers?() Did students have higher reading scores after participating in the chess program? Give appropriate statistical evidence to support your answer.
Short Answer
Yes, students are getting higher marks.
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Chapter 6: Q.31 (page 357)
Better readers?() Did students have higher reading scores after participating in the chess program? Give appropriate statistical evidence to support your answer.
Yes, students are getting higher marks.
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The length in inches of a cricket chosen at random from a field is a random variable with mean inches and standard deviation of inches. Find the mean and standard deviation of the length of a randomly chosen cricket from the field in centimeters. There are centimeters in an inch.
Toss times Suppose you toss a fair coin times. Let the number of heads you get.
(a) Find the probability distribution of.
(b) Make a histogram of the probability distribution. Describe what you see.
(c) Find and interpret the result.
54. The Tri -State Pick Refer to Exercise . Suppose
(a) Find the mean and standard deviation of your total winnings. Show your work.
(b) Interpret each of the values from (a) in context .
Checking for survey errors One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About % of American adults identify themselves as black. Suppose we take an SRS of American adults and let be the number of blacks in the sample.
(a) Show that is approximately a binomial random variable.
(b) Check the conditions for using a Normal approximation in this setting.
(c) Use the Normal approximation to 铿乶d the probability that the sample will contain between and blacks. Show your work.
Benford鈥檚 law and fraud Refer to Exercise 13. It might also be possible to detect an employee鈥檚 fake expense records by looking at the variability in the first digits of those expense amounts.
(a) Calculate the standard deviation 蟽Y. This gives us an idea of how much variation we鈥檇 expect in the employee鈥檚 expense records if he assumed that first digits from to were equally likely.
(b) Now calculate the standard deviation of first digits that follow Benford鈥檚 law (Exercise 5). Would using standard deviations be a good way to detect fraud? Explain.
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