MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The effectiveness of a new bug repellent is tested on 25 subjects for a 10 hour period. (Assume normally distributed population.) Based on the number and location of the bug bites, the percentage of surface area exposed protected from bites was calculated for each of the subjects. The results were as follows:

?⎯⎯⎯=93,  ?=12 

The new repellent is considered effective if it provides a percent repellency of at least 91. Using ?=0.05, construct a hypothesis test with null hypothesis ?=91 and alternate hypothesis ?>91 to determine whether the mean repellency of the new bug repellent is greater than 91 by computing the following:

(a)    the degrees of freedom    

(b)    the test statistic    

 

The final conclusion is


A. We can reject the null hypothesis that ?=91. Our results indicate that the new bug repellent is effective.
B. There is not sufficient evidence to reject the null hypothesis that ?=9. Our results do not provide enough evidence that the new bug repellent is effective.

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