Stats: Data And Models Plus Mylab Statistics With Pearson Etext -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780135256213
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Question
Chapter 11, Problem 45E
a.
To determine
Explain the importance in randomly assigning athletes to two different treatments.
b.
To determine
Explain the advantage of introducing control group in the given study.
c.
To determine
Explain the way for the given experiment to be blinded.
d.
To determine
Explain whether the results are statistically significant.
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29
Suppose that a mound-shaped data set has a
must mean of 10 and standard deviation of 2.
a. About what percentage of the data should
lie between 6 and 12?
b. About what percentage of the data should
lie between 4 and 6?
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
lie above 12?
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
a. Explain why you can apply the empirical
rule to this data set.
b. Where would "most of the values" in the
population fall, based on this data set?
Chapter 11 Solutions
Stats: Data And Models Plus Mylab Statistics With Pearson Etext -- Access Card Package (5th Edition)
Ch. 11.3 - 1. At one time, a method called “gastric freezing”...Ch. 11.4 - Prob. 2JCCh. 11 - Prob. 1ECh. 11 - 2. E-commerce A business student conjectures that...Ch. 11 - 3. Tips A pizza delivery driver, always trying to...Ch. 11 - 4. Tomatoes You want to compare the tastiness and...Ch. 11 - 5. Tips II For the experiment described in...Ch. 11 - 6. Tomatoes II For the experiment described in...Ch. 11 - 7. Tips again For the experiment of Exercise 3,...Ch. 11 - 8. Tomatoes again For the experiment of Exercise...
Ch. 11 - 9. More tips Is the experiment of Exercise 3...Ch. 11 - 10. More tomatoes If the tomato taster doesn’t...Ch. 11 - 11. Block that tip The driver of Exercise 3 wants...Ch. 11 - 12. Blocking tomatoes To obtain enough plants for...Ch. 11 - 13. Confounded tips For the experiment of Exercise...Ch. 11 - 14. Tomatoes finis What factors might confound the...Ch. 11 - 15. Standardized test scores For his statistics...Ch. 11 - 16. Heart attacks and height Researchers who...Ch. 11 - 17. MS and vitamin D Multiple sclerosis (MS) is an...Ch. 11 - 18. Super Bowl commercials When spending large...Ch. 11 - Prob. 19ECh. 11 - 20. Honesty Coffee stations in offices often just...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 35. Omega-3 Exercise 21 describes an experiment...Ch. 11 - 36. Insomnia Exercise 24 describes an experiment...Ch. 11 - 37. Omega-3, revisited Exercises 21 and 35...Ch. 11 - 38. Insomnia, again Exercises 24 and 36 describe...Ch. 11 - 39. Omega-3, finis Exercises 21, 35, and 37...Ch. 11 - 40. Insomnia, at last Exercises 24, 36, and 38...Ch. 11 - 41. Injuries Exercise 33 describes an experiment...Ch. 11 - 42. Tomatoes II Describe a strategy to randomly...Ch. 11 - 43. Shoes A running-shoe manufacturer wants to...Ch. 11 - 44. Swimsuits A swimsuit manufacturer wants to...Ch. 11 - 45. Hamstrings Exercise 33 discussed an experiment...Ch. 11 - 46. Diet and blood pressure An experiment showed...Ch. 11 - Prob. 47ECh. 11 - 48. Contrast baths Contrast bath treatments use...Ch. 11 - 49. Wine A Danish study published in the Archives...Ch. 11 - 50. Swimming Recently, a group of adults who swim...Ch. 11 - 51. Dowsing Before drilling for water, many rural...Ch. 11 - 52. Healing A medical researcher suspects that...Ch. 11 - 53. Reading Some schools teach reading using...Ch. 11 - 54. Gas mileage Do cars get better gas mileage...Ch. 11 - 55. Weekend deaths A study published in the New...Ch. 11 - 56. Shingles A research doctor has discovered a...Ch. 11 - 57. Beetles Hoping to learn how to control crop...Ch. 11 - 58. SAT prep Can special study courses actually...Ch. 11 - 59. Safety switch An industrial machine requires...Ch. 11 - 60. Washing clothes A consumer group wants to test...Ch. 11 - 61. Skydiving, anyone? A humor piece published in...
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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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