Stats: Data and Models
5th Edition
ISBN: 9780135164013
Author: DeVeaux
Publisher: PEARSON CO
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Chapter 17, Problem 18E
(a)
To determine
Construct a 98% confidence interval for the mean number of Facebook friends a student has from the data.
(b)
To determine
Interpret the interval in part a.
(c)
To determine
Find the assumptions that should be satisfied for interpreting the interval.
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 17 Solutions
Stats: Data and Models
Ch. 17.2 - Every 10 years, the United States takes a census....Ch. 17.2 - Every 10 years, the United States takes a census....Ch. 17.2 - Prob. 3JCCh. 17.2 - Prob. 4JCCh. 17.2 - Prob. 5JCCh. 17.3 - In discussing estimates based on the long-form...Ch. 17 - Prob. 1ECh. 17 - 2. LSAT The LSAT (a test taken for law school...Ch. 17 - 3. Tips A waiter believes the distribution of his...Ch. 17 - 4. Groceries A grocery store’s receipts show that...
Ch. 17 - 5. More tips The waiter in Exercise 3 usually...Ch. 17 - 6. More groceries Suppose the store in Exercise 4...Ch. 17 - 7. t-models, part I Using the t tables, software,...Ch. 17 - 8. t-models, part II Using the t tables, software,...Ch. 17 - 9. t-models, part III Describe how the shape,...Ch. 17 - 10. t-models, part IV Describe how the critical...Ch. 17 - 11. Home sales The housing market recovered slowly...Ch. 17 - 12. Home sales again In the previous exercise, you...Ch. 17 - 13. Home sales revisited For the confidence...Ch. 17 - 14. Salaries A survey finds that a 95% confidence...Ch. 17 - 15. Cattle Livestock are given a special feed...Ch. 17 - 16. Teachers Software analysis of the salaries of...Ch. 17 - 17. Framingham revisited In Chapter 4, Exercise...Ch. 17 - 18. Student survey revisited Chapter 2, Exercise...Ch. 17 - 19. Shoe sizes revisited Chapter 2, Exercise 16...Ch. 17 - 20. Bird counts A biology class conducts a bird...Ch. 17 - 21. Meal plan After surveying students at...Ch. 17 - 22. Snow Based on meteorological data for the past...Ch. 17 - 23. Pulse rates A medical researcher measured the...Ch. 17 - 24. Crawling Data collected by child development...Ch. 17 - 25. CEO compensation A sample of 20 CEOs from the...Ch. 17 - 26. Credit card charges A credit card company...Ch. 17 - 27. Cholesterol In the latest National Health and...Ch. 17 - 28. Pulse rates In the latest National Health and...Ch. 17 - 29. Normal temperature The researcher described in...Ch. 17 - 30. Parking Hoping to lure more shoppers downtown,...Ch. 17 - 31. Normal temperature, part II Consider again the...Ch. 17 - 32. Parking II Suppose that, for budget planning...Ch. 17 - 33. Speed of light In 1882, Michelson measured the...Ch. 17 - 34. Michelson After his first attempt to determine...Ch. 17 - 35. Flights on time 2016 What are the chances your...Ch. 17 - 36. Flights on time 2016 revisited Will your...Ch. 17 - Prob. 37ECh. 17 - 38. Hot dogs A nutrition lab tested 40 hot dogs to...Ch. 17 - Prob. 39ECh. 17 - Prob. 40ECh. 17 - Prob. 41ECh. 17 - 42. Computer lab fees The technology committee has...Ch. 17 - Prob. 43ECh. 17 - 44. CEO compensation The total compensation of the...Ch. 17 - Prob. 45ECh. 17 - 46. CEOs, revisited In Exercise 44, you looked at...Ch. 17 - Prob. 47ECh. 17 - Prob. 48ECh. 17 - Prob. 49ECh. 17 - 50. Safe cities Allstate Insurance Company...Ch. 17 - Prob. 51ECh. 17 - 52. Rainfall Statistics from Cornell’s Northeast...Ch. 17 - 53. Pregnant again The duration of human...Ch. 17 - 54. At work Some business analysts estimate that...Ch. 17 - Prob. 55ECh. 17 - 56. Doritos Some students checked 6 bags of...Ch. 17 - 57. Popcorn Yvon Hopps ran an experiment to...Ch. 17 - Prob. 58ECh. 17 - Prob. 59ECh. 17 - Prob. 60ECh. 17 - 61. Maze Psychology experiments sometimes involve...Ch. 17 - Prob. 62ECh. 17 - 63. Golf drives 2015 The Professional Golfers...Ch. 17 - Prob. 64E
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- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardLet X be a continuous RV with PDF where a > 0 and 0 > 0 are parameters. verify that f-∞ /x (x)dx = 1. Find the CDF, Fx (7), of X.arrow_forward6. [20] Let X be a continuous RV with PDF 2(1), 1≤x≤2 fx(x) = 0, otherwisearrow_forward
- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardA survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forward2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model below: 1 y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €. See Question 2, Tutorial 3 for the meaning of the variables in the above model. The following results are obtained: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.302e+03 4.320e+02 3.015 0.00307 x4 x6 x8 x4:x8 x6:x8 -1.442e+02 2.056e+01 -7.013 1.02e-10 6.340e-01 6.099e+00 0.104 0.91737 -9.455e-02 5.802e-02 -1.630 0.10550 2.882e-02 2.589e-03 11.132 1.673e-03 7.215e-04 2.319 F) x4 1 3486722 3486722 17.9286 4.214e-05 x6 1 14595537 x8 x4:x8 x6:x8 1 132.4836 < 2.2e-16 1045693 194478 5.3769 0.02191 1 1198603043 1198603043 6163.1900 < 2.2e-16 1 25765100 25765100 1045693 Residuals 135 26254490 Estimated variance matrix (Intercept) x4 x6 x8 x4:x8 x6:x8 (Intercept) x4 x6 x8 x4:x8 x6:x8 0.18875694 1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953 -5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013 -2.322825e+03…arrow_forward
- In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF where 1 > 0 is a parameter, and c is a constant. (a) Find the expression of c in terms of 1. (b) Find E(X). (Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.)arrow_forwardSuppose that X ~Bin(n,p). Show that E[(1 - p)] = (1-p²)".arrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
- I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forwardThis exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainzarrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
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