The effectiveness of a new bug repellent is tested on 14 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: I = 95, s == 15 The new repellent is considered effective if it provides a percent repellency of more than 91. Using a = 0.01, construct a hypothesis test with null hypothesis u = 91 and alternative hypothesis u > 91 to determine whether the mean repellency of the new bug repellent is greater than 91 by computing the following: (a) the degree of freedom (b) the test statistics (give to 3 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The effectiveness of a new bug repellent is tested on 14 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:
I= 95, s = 15
The new repellent is considered effective if it provides a percent repellency of more than 91. Using a =
0.01, construct a hypothesis test with
null hypothesis u = 91 and alternative hypothesis u > 91 to determine whether the mean repellency of the new bug repellent is greater than
91 by computing the following:
(a) the degree of freedom
(b) the test statistics (give to 3 decimal places)
Transcribed Image Text:The effectiveness of a new bug repellent is tested on 14 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: I= 95, s = 15 The new repellent is considered effective if it provides a percent repellency of more than 91. Using a = 0.01, construct a hypothesis test with null hypothesis u = 91 and alternative hypothesis u > 91 to determine whether the mean repellency of the new bug repellent is greater than 91 by computing the following: (a) the degree of freedom (b) the test statistics (give to 3 decimal places)
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