STATISTICS FOR ENGINEERS+SCI.-ACCESS
4th Edition
ISBN: 9781259998584
Author: Navidi
Publisher: MCG
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Chapter 9.2, Problem 15E
To determine
Find the value of MSE so that the F statistic rejects the null hypothesis of no difference at the 5% level, while the Tukey–Kramer method does not find any pair of means to differ at the 5% level.
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The makers of Duracell batteries want to demonstrate that their size AA battery lasts longer than Duracell’s main competitor, the Energizer. Two independent random samples of 100 batteries of each kind are selected. The sample average lives for Duracell and Energizer batteries are found to be X ̄1 = 308 minutes and X ̄2 = 254 minutes with S1 = 84 minutesand S2 = 67 minutes. Is there evidence to substantiate Duracell’s claim that its batterieslast, on an average, longer than Energizer of the same size? Find 95% confidence intervaland make your decision. Given the decision from CI, can you write the p-value range incomparison with α = 0.025?
When the parameter and the sample size is equal to the parameter is being estimated, then the estimator is said to be _________________.
a.
Unbiased
b.
Consistent
c.
Regular
d.
Efficient
1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now?
2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion?
3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.
Chapter 9 Solutions
STATISTICS FOR ENGINEERS+SCI.-ACCESS
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