Intro Stats
4th Edition
ISBN: 9780321826275
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 5, Problem 52E
Tomatoes Agricultural scientists are working on developing an improved variety of Roma tomatoes. Marketing research indicates that customers are likely to bypass Romas that weigh less than 70 grams. The current variety of Roma plants produces fruit that averages 74 grams, but 11% of the tomatoes are too small. It is reasonable to assume that a Normal model applies.
- a) What is the standard deviation of the weights of Romas now being grown?
- b) Scientists hope to reduce the frequency of undersized tomatoes to no more than 4%. One way to accomplish this is to raise the average size of the fruit. If the standard deviation remains the same, what target
mean should they have as a goal? - c) The researchers produce a new variety with a mean weight of 75 grams, which meets the 4% goal. What is the standard deviation of the weights of these new Romas?
- d) Based on their standard deviations, compare the tomatoes produced by the two varieties.
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Chapter 5 Solutions
Intro Stats
Ch. 5.1 - Your statistics teacher has announced that the...Ch. 5.2 - Prob. 2JCCh. 5.2 - Prob. 3JCCh. 5.3 - As a group, the Dutch are among the tallest people...Ch. 5.3 - Prob. 5JCCh. 5 - Stats test The mean score on the Stats exam was 75...Ch. 5 - Prob. 2ECh. 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...
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