Answered: 139 trials and found that the mosquito…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a certain brand of mosquito repellent claims that it will effectively repel mosquitoes for at least 2 hours. A local biologist thinks that the company’s claim is exaggerated and the length of time for which this brand of mosquito repellent is effect is actually less than 2 hours. to test her hypothesis, the biologist devised a randomized sample of 139 trials and found that the mosquito repellent was effective for 1.97 hours, on average. Use the p-value method to test the hypothesis that the mean effective length of time of this brand mosquito repellent is less than 2 hours , use a significance level of 2% assume the standard deviation of the distribution of all times for which this brand of mosquito repellent is effective is known to be 0.34 hours

Transcribed Image Text:Determine the test statistic for the hypothesis test. O 1.04 O-1.75 O-3.99 O 3.57 Determine the p-value for the hypothesis test. O0.1492 O0.1716 O 0.0659 O0.8508 Determine the appropriate conclusion for this hypothesis test. O The sample data provide sufficient evidence to reject the alternative hypothesis that this brand of mosquito repellent is effective for less than 2 hours on average and thus we conclude that the company's claim that the mosquito repellent is effective for at least 2 hours is likely true. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that this brand of mosquito repellent is effective for less than 2 hours on average and thus we conclude that the company's claim that the mosquito repellent is effective for at least 2 hours is likely false. The sample data provide sufficient evidence to reject the null hypothesis that this brand of mosquito repellent is effective for at least 2 hours and thus we conclude that the company's claim that that the mosquito repellent lasts for at least 2 hours is likely false. O The sample data do not provide sufficient evidence to reject the null hypothesis that this brand of mosquito repellent is effective for at least 2 hours and thus we conclude that the company's claim that that the mosquito repellent lasts for at least 2 hours is likely true.

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