The survival times of adult mosquitoes exposed to a commonly used synthetic pesticide (Phenothrin) follow a normal distribution, with a standard deviation of 15.18 sec.A random sample of 40 mosquitoes has an average survival time of 47.5 sec.What is a 99% confidence interval for the mean survival time?

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Quizplus · Accepted Answer

To calculate a 99% confidence interval for the mean survival time, we use the formula: mean ± (z * (standard deviation / sqrt(n))), where z is the z-score corresponding to the confidence level (for 99%, z ≈ 2.576), standard deviation is given as 15.18, and n is the sample size (40). Plugging in the values: 47.5 ± (2.576 * (15.18 / sqrt(40))) gives us the interval (41.318, 53.682).

The Survival Times of Adult Mosquitoes Exposed to a Commonly