Mathematical Statistics with Applications
Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 14.3, Problem 9E

a.

To determine

Obtain and interpret the 95% confidence interval for the difference in the proportions of round yellow and round green peas.

b.

To determine

Construct the simultaneous confidence interval to compare the proportion of round yellow peas with the proportions other three categories.

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Refer to Exercise 16 in Section 9.1. a) Use the Fisher LSD method to find a 95% confidence interval for the difference between the means for a diameter of 16 and a diameter of 36. b) Use the Tukey–Kramer method to determine which pairs of diameters, if any, differ at the 5% level.
An automotive company is considering two types of batteries for its automobile. Sample information on the life of the battery is collected for 20 batteries of type A and 20 batteries of type B. The summary statistics are XA = 40.21, xB = 39.53, SA = 1.23, and SB= 1.59. Assume the data on each battery are normally distributed and assume σA = σB.(a) Find a 95% confidence interval on μA – μB.(b) Draw some conclusion from (a) that provides some insight into whether A or B should be adopted.
Refer to Exercise 7.S.6. Construct a 95% confidence interval for the population mean reduction in stem length. Does the confidence interval indicate whether the effect of stress is “horticulturally important,” if “horticulturally important” is defined as a reduction in population mean stem length of at least 1 cm 2 cm 5 cm

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Mathematical Statistics with Applications

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