# Normal Distribution and Pic

**Topics:**Normal distribution, Statistics, Confidence interval

**Pages:**16 (2004 words)

**Published:**January 16, 2013

Topic I: Describing Data

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Use the given data set of test grades from a college statistics class for this question. 85 72 64 65 98 78 75 76 82 80 61 92 72 58 65 74 92 85 74 76 77 77 62 68 68 54 62 76 73 85 88 91 99 82 80 74 76 77 70 60 A.Construct two different graphs of these data

B.Calculate the five-number summary and the mean and standard deviation of the data. C.Describe the distribution of the data, citing both the plots and the summary statistics found in questions 1 and 2.

AP Statistics Exam Review

Topic II: Normal Distribution

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A set of 2,000 measurements had a symmetric, mound-shaped distribution. The mean is 5.3 and the standard deviation is 0.7. Determine an interval that contains approximately 1,360 date values.

AP Statistics Exam Review

Topic III: Bivariate Data

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A survey was conducted recently in ten large American cities to determine whether there is any relationship between the average weekday hotel rates and average car rental rates. The following data was collected.

|Daily Hotel Rate (x) (in |Daily Car Rental Rate (y) (in | |dollars) |dollars) | |149 |49 | |187 |50 | |171 |52 | |122 |49 | |115 |39 | |147 |44 | |128 |37 | |212 |63 | |168 |46 | |181 |51 |

A.Construct a scatterplot for this data

B.Use the scatterplot to determine if there is a linear relationship between the two variables C.If there is a linear relationship, numerically describe the strength of this relationship and construct a least squares regression model D.Find the residual associated with the point (168, 46).

E.What percent of the variation in the car rental rates is explained by the regression of y on x?

AP Statistics Exam Review

Topic IV: Planning a Study

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The loss of bone mass density (BMD) in men and women can be reduced by drug treatments. A pharmaceutical company has developed a new calcium supplement, which claims to reduce the loss of BMD. Volunteers who have been diagnosed with loss of bone mass density and who are currently not on medication or calcium supplements will be recruited to participate in a study. It is known that men and women experience different average losses of BMD.

A.Explain how you would carry out a completely randomized experiment for the study. B.Describe an experimental design that would improve the design in part (A) by incorporating blocking. C.Can the experimental design in part (B) be carried out in a double-blind manner? Explain.

AP Statistics Exam Review

Topic V: Probability

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A. 12B. 16C. 24D. 48E. 144

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A. 0.40B. 0.42C. 0.46D. 0.05E. 0.52

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A. 1/8B. ¼C. 1/2D. 2/3E. 1/16

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A telecommunications company uses three different systems to produce the print shaft holder for its most popular fax machine. System A produces 50% of the shaft holders, System B produces 30% of the shaft holders, and...

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