Stats: Data and Models
Stats: Data and Models
5th Edition
ISBN: 9780135164013
Author: DeVeaux
Publisher: PEARSON CO
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Chapter 5, Problem 1E
To determine

Find the number of points scored by Gregor.

Expert Solution & Answer
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Answer to Problem 1E

The number of points scored by Gregor is 65.

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=xμσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=2, σ=5and μ=75 in the formula of z-score.

2=x755x=25+75=65

Thus, the number of points scored by Gregor is 65.

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Chapter 5 Solutions

Stats: Data and Models

Ch. 5 - 3. Temperatures A town’s January high temperatures...Ch. 5 - 4. Placement exams An incoming freshman took her...Ch. 5 - 5. Shipments A company selling clothing on the...Ch. 5 - 6. Hotline A company’s customer service hotline...Ch. 5 - Prob. 7ECh. 5 - 8. Women’s shoe sizes The shoe size data for women...Ch. 5 - 9. Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - 10. IQ Some IQ tests are standardized to a Normal...Ch. 5 - Prob. 11ECh. 5 - 12. Stats test Suppose your statistics professor...Ch. 5 - 13. Normal cattle The Virginia Cooperative...Ch. 5 - 14. IQs revisited Based on the Normal model N(100,...Ch. 5 - Prob. 15ECh. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Prob. 18ECh. 5 - 19. Payroll Here are the summary statistics for...Ch. 5 - 20. Hams A specialty foods company sells “gourmet...Ch. 5 - 21. SAT or ACT? Each year thousands of high school...Ch. 5 - 22. Cold U? A high school senior uses the Internet...Ch. 5 - 23. Music library again Corey has 4929 songs in...Ch. 5 - 24. Windy In the last chapter, we looked at three...Ch. 5 - 25. Combining test scores The first Stats exam had...Ch. 5 - 26. Combining scores again The first Stat exam had...Ch. 5 - 27. Final exams Anna, a language major, took final...Ch. 5 - 28. MP3s Two companies market new batteries...Ch. 5 - Prob. 29ECh. 5 - 30. Car speeds 100 John Beale of Stanford,...Ch. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - 38. High IQ Exercise 10 proposes modeling IQ...Ch. 5 - 39. Trees A forester measured 27 of the trees in a...Ch. 5 - 40. Rivets A company that manufactures rivets...Ch. 5 - Prob. 41ECh. 5 - Prob. 42ECh. 5 - Prob. 43ECh. 5 - Prob. 44ECh. 5 - 45. Receivers 2015 NFL data from the 2015 football...Ch. 5 - 46. Customer database A large philanthropic...Ch. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - Prob. 49ECh. 5 - 50. More IQs In the Normal model N(100, 15) from...Ch. 5 - Prob. 51ECh. 5 - 52. IQ, finis Consider the IQ model N(100, 15) one...Ch. 5 - Prob. 53ECh. 5 - 54. Tires A tire manufacturer believes that the...Ch. 5 - 55. Kindergarten Companies that design furniture...Ch. 5 - 56. Body temperatures Most people think that the...Ch. 5 - Prob. 57ECh. 5 - Prob. 58E
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