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

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Chapter1: Starting With Matlab
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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
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.
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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