Stats: Data and Models
5th Edition
ISBN: 9780135164013
Author: DeVeaux
Publisher: PEARSON CO
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Chapter 17, Problem 45E
(a)
To determine
Find the theoretical mean and standard deviation for each of the samples.
(b)
To determine
Explain how close the theoretical values are with observed values.
(c)
To determine
Find at which sample size it would be possible to use Normal model from Problem 43.
(d)
To determine
Explain the shape of the distribution for the chosen sample size.
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Students have asked these similar questions
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:
2. 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…
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.)
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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