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A certain brand of mosquito repellent claims that it will effectively repel A local biologist thinks that the company s claim is exaggerated and the length of time for which this brand of mosquito repellent is effective is actually less than 4 hours To test his hypothesis the biologist devised a randomized sample of 125 trials and found that the mosquito repellent was effective for 3 77 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 4 hours using a significance level of 5 Assume the standard deviation of the distribution of all times for which this brand of mosquito repellent is effective is known to be 1 48 hours State the null and alternative hypothesis for this test O Ho 4 H 4 O Ho 24 H 4 O Ho 4 H 4 O Ho 4 H 24 Determine the test statistic for the hypothesis test O 1 74 O 1 69 O 4 34 O 3 28 Determine the p value for the hypothesis test O 0 1326 O 0 9591 O0 0117 0 0409 termine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the null hypothesis that this brand of mosquito repellent is effective for at least 4 hours and thus we conclude that the company s claim that that the mosquito repellent lasts for at least 4 hours is likely false The sample data do not provide sufficient evidence to reject the alternative hypothesis that this brand of mosquito repellent is effective for less than 4 hours on average and thus we conclude that he company s claim that the mosquito repellent is effective for at least 4 hours is likely false the sample data provide sufficient evidence to reject the alternative hypothesis that this brand of osquito repellent is effective for less than 4 hours on average and thus we conclude that the mpany s claim that the mosquito repellent is effective for at least 4 hours is likely true sample data do not provide sufficient evidence to reject the null hypothesis that this brand of quito repellent is effective for at least 4 hours and thus we conclude that the company s claim

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