# mosquito repellent claims that it will effectively repel

Last updated: 8/11/2024

mosquito repellent claims that it will effectively repel mosquitoes for at least 6 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 effective is actually less than 6 hours To test her hypothesis the biologist devised a randomized sample of 107 trials and found that the mosquito repellent was effective for 5 61 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 6 hours using a significance level of 2 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 76 hours State the null and alternative hypothesis for this test OH 6 H p 6 O Ho p 6 H p6 OH 6 H p 6 O Ho 6 H p 6 Determine the test statistic for the hypothesis test 0 1 82 0 2 29 0 0 32 0 1 07 Determine the p value for the hypothesis test 00 0110 00 9890 00 2194 00 0374 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 6 hours on average and thus we conclude that the company s claim that the mosquito repellent is effective for at least 6 hours is likely true 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 6 hours and thus we conclude that the company s claim that that the mosquito repellent lasts for at least 6 hours is likely true The sample data provide sufficient evidence to reject the null hypothesis that this brand of mosquite repellent is effective for at least 6 hours and thus we conclude that the company s claim that that the mosquito repellent lasts for at least 6 hours is likely false