Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 5, Problem 58E
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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9.2 Testing the Mean mu:
Problem 3
(1 point)
Test the claim that the population of sophomore college
students has a mean grade point average greater than 2.2.
Sample statistics include n = 71, x = 2.44, and s = 0.9.
Use a significance level of a = 0.01.
The test statistic is
The P-Value is between :
The final conclusion is
< P-value <
A. There is sufficient evidence to support the claim that
the mean grade point average is greater than 2.2.
○ B. There is not sufficient evidence to support the claim
that the mean grade point average is greater than 2.2.
Note: You can earn partial credit on this problem.
Note: You are in the Reduced Scoring Period. All work counts for
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Chapter 5 Solutions
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
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