Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 6CRE
Freshman 15:
- a. Test for a
linear correlation between September weights and the subsequent April weights. - b. Find the equation of the regression line.
- c. Find the best predicted April weight for a male freshman student given that his weight in September is 94 kg. How does that result compare to an actual male student who weighed 94 kg in September and 105 kg in April?
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29
Suppose that a mound-shaped data set has a
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a. About what percentage of the data should
lie between 6 and 12?
b. About what percentage of the data should
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c. About what percentage of the data should
lie below 4?
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28 Suppose that a mound-shaped data set has a
mean of 10 and standard deviation of 2.
a. About what percentage of the data should
lie between 8 and 12?
b. About what percentage of the data should
lie above 10?
c. About what percentage of the data should
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27 Suppose that you have a data set of 1, 2, 2, 3,
3, 3, 4, 4, 5, and you assume that this sample
represents a population. The mean is 3 and g
the standard deviation is 1.225.10
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b. Where would "most of the values" in the
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Chapter 12 Solutions
Elementary Statistics
Ch. 12.2 - In Exercises 1-4, use the following listed chest...Ch. 12.2 - Prob. 2BSCCh. 12.2 - In Exercises 1-4, use the following listed chest...Ch. 12.2 - Prob. 4BSCCh. 12.2 - In Exercises 516, use analysis of variance for the...Ch. 12.2 - In Exercises 516, use analysis of variance for the...Ch. 12.2 - Highway Fuel Consumption Data Set 14 in Appendix B...Ch. 12.2 - City Fuel Consumption Data Set 14 in Appendix B...Ch. 12.2 - Head Injury Crash Test Data Exercises 14 use chest...Ch. 12.2 - Pelvis Injury Crash Test Data Exercises 14 use...
Ch. 12.2 - Prob. 11BSCCh. 12.2 - Prob. 12BSCCh. 12.2 - Prob. 13BSCCh. 12.2 - Prob. 14BSCCh. 12.2 - Prob. 15BSCCh. 12.2 - Prob. 16BSCCh. 12.2 - Tukey Test A display of the Bonferroni test...Ch. 12.3 - Prob. 1BSCCh. 12.3 - Prob. 2BSCCh. 12.3 - Prob. 3BSCCh. 12.3 - Prob. 4BSCCh. 12.3 - Prob. 5BSCCh. 12.3 - Car Crash Tests The following table lists results...Ch. 12.3 - Prob. 7BSCCh. 12.3 - Prob. 8BSCCh. 12.3 - Self-Esteem The following table lists measures of...Ch. 12.3 - Prob. 10BSCCh. 12.3 - Prob. 11BBCh. 12 - Measures of Voltage The author measured voltage...Ch. 12 - Prob. 2CQQCh. 12 - Prob. 3CQQCh. 12 - Prob. 4CQQCh. 12 - Prob. 5CQQCh. 12 - Prob. 6CQQCh. 12 - Prob. 7CQQCh. 12 - Prob. 8CQQCh. 12 - Using the same results given in Exercise 8, does...Ch. 12 - Prob. 1RECh. 12 - Prob. 2RECh. 12 - Tar in Cigarettes Data Set 10 in Appendix B...Ch. 12 - Smoking, Body Temperature, Gender The table below...Ch. 12 - Prob. 1CRECh. 12 - Prob. 2CRECh. 12 - Prob. 3CRECh. 12 - Prob. 4CRECh. 12 - In Exercises 1-5, refer to the following list of...Ch. 12 - Freshman 15: Correlation/Regression listed below...Ch. 12 - Platelets: Normal Distribution Based on Data Set 1...Ch. 12 - Job Priority Survey USA Today reported about an...Ch. 12 - Prob. 9CRECh. 12 - Lottery: Goodness-of-Fit The bars in the histogram...Ch. 12 - Prob. 10CQQCh. 12 - Chocolate Chips Revisited The Chapter Problem for...
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- 30 Explain how you can use the empirical rule to find out whether a data set is mound- shaped, using only the values of the data themselves (no histogram available).arrow_forward5. Let X be a positive random variable with finite variance, and let A = (0, 1). Prove that P(X AEX) 2 (1-A)² (EX)² EX2arrow_forward6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows: P(X=-x) = P(X = x)=p. P(X=0)= 1-2p. Show that there is equality in Chebyshev's inequality for X. This means that Chebyshev's inequality, in spite of being rather crude, cannot be improved without additional assumptions.arrow_forward
- 4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).arrow_forward8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forward
- 7. Cantelli's inequality. Let X be a random variable with finite variance, o². (a) Prove that, for x ≥ 0, P(X EX2x)≤ 02 x² +0² 202 P(|X - EX2x)<≤ (b) Find X assuming two values where there is equality. (c) When is Cantelli's inequality better than Chebyshev's inequality? (d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall, from Proposition 6.1, that an application of Chebyshev's inequality yields the bound o√√2. (e) Generalize Cantelli's inequality to moments of order r 1.arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardThe Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forward
- The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forward
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