Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 5, Problem 26E
Combining scores again The first Stat exam had a
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
Chapter 5 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 5.1 - Your statistics teacher has announced that the...Ch. 5.1 - A distribution of incomes shows a strongly right...Ch. 5.2 - Prob. 3JCCh. 5.2 - Prob. 4JCCh. 5.3 - As a group, the Dutch are among the tallest people...Ch. 5.3 - Prob. 6JCCh. 5.3 - The mean of our original sample of 100 commute...Ch. 5.3 - Prob. 8JCCh. 5 - Stats test The mean score on the Stats exam was 75...Ch. 5 - Mensa People with z-scores above 2.5 on an IQ test...
Ch. 5 - Temperatures A towns January high temperatures...Ch. 5 - Placement exams An incoming freshman took her...Ch. 5 - Shipments A company selling clothing on the...Ch. 5 - Hotline A companys customer service hotline...Ch. 5 - Prob. 7ECh. 5 - Prob. 8ECh. 5 - Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - IQ Some IQ tests are standardized to a Normal...Ch. 5 - Prob. 11ECh. 5 - Stats test Suppose your statistics professor...Ch. 5 - Normal cattle The Virginia Cooperative Extension...Ch. 5 - IQs revisited Based on the Normal model N(100, 15)...Ch. 5 - ACT scores The Mathematics section of the ACT test...Ch. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Wisconsin ACT 2015 The histogram shows the...Ch. 5 - Payroll Here are the summary statistics for the...Ch. 5 - Hams A specialty foods company sells gourmet hams...Ch. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Windy In the last chapter, we looked at three...Ch. 5 - Prob. 25ECh. 5 - Combining scores again The first Stat exam had a...Ch. 5 - Final exams Anna, a language major, took final...Ch. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Car speeds 100 John Beale of Stanford, California,...Ch. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Small steer In Exercise 29, we suggested the model...Ch. 5 - Prob. 38ECh. 5 - Trees A forester measured 27 of the trees in a...Ch. 5 - Rivets A company that manufactures rivets believes...Ch. 5 - Prob. 41ECh. 5 - Car speeds 100, the picture For the car speed data...Ch. 5 - Winter Olympics 2014 Thirty-four men completed the...Ch. 5 - Check the model The mean of the 100 car speeds in...Ch. 5 - Receivers 2015 NFL data from the 2015 football...Ch. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - More cattle Based on the model N(1152, 84)...Ch. 5 - More IQs In the Normal model N(100, 15) from...Ch. 5 - Prob. 51ECh. 5 - IQ, finis Consider the IQ model N(100, 15) one...Ch. 5 - Cholesterol Assume the cholesterol levels of adult...Ch. 5 - Tires A tire manufacturer believes that the...Ch. 5 - Kindergarten Companies that design furniture for...Ch. 5 - Prob. 56ECh. 5 - Eggs Hens usually begin laying eggs when they are...Ch. 5 - Tomatoes Agricultural scientists are working on...
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