A manufacturer of mosquito repellent claims that the average amount of time their repellent is effective is at least 3.5 hours.
A consumer group tests the claim using five randomly selected people. If the average time of effectiveness from the sample was 3.8 hours with a standard deviation of 0.76 hours, what is the critical value (CV test statistic (TS), and decision for this test? (Assume the underlying population is normal and use CI 0. 025.)
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Multiplying both sides by gives
so that substituting and hence
gives the linear ODE,
Now multiply both sides by to get
so that the left side condenses into the derivative of a product.
Integrate both sides, then solve for , then for
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