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# Checking for survey errors. One way of checking the effect of undercoverage,nonresponse

ISBN: 9780716774785 486

## Solution for problem 13.12 Chapter Chapter 13

The Basic Practice of Statistics | 4th Edition

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Problem 13.12

Checking for survey errors. One way of checking the effect of undercoverage,nonresponse, and other sources of error in a sample survey is to compare thesample with known facts about the population. About 12% of American adultsare black. The number X of blacks in a random sample of 1500 adults shouldtherefore vary with the binomial (n = 1500, p = 0.12) distribution.(a) What are the mean and standard deviation of X?(b) Use the Normal approximation to find the probability that the sample willcontain between 165 and 195 blacks. Be sure to check that you can safely use theapproximation.

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Where Do Data Come From The field of statistics is applicable in every discipline. To give an idea of how widespread its use is, consider the following examples illustrating the scope of applications: From ratemyprofessors.com, STAT 110 instructors often get comments about the practice test looking like the real exam…..should you believe this claim Here are some interesting stats from Exam 2 in a recent semester Summary statistics: Column n Mean Variance Std. Dev. Std. Err. Median Range Min Max Q1 Q3 Exam 2 379 78.51715 318.37735 17.843132 0.9165401 82 102 0 102 70 90 • • Claim found on MedPageToday, Jan. 14, 2013, “Fast Foods Tied to Allergies, Excema in Kids” http://www.medpagetoday.com/Pediatrics/GeneralPediatrics/36848 A

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