My Notes Question Part Points Submissions Used 1 –/1 0/3 Total –/1 Suppose the t

Question

My Notes Question Part Points Submissions Used 1 –/1 0/3 Total –/1 Suppose the time that it takes for a certain infection to be cured is normally distributed with mean (in days) and standard deviation day. The drug manufacturer advertises that it works in 5 days, on average, but measurements on a random sample of 400 patients gave a mean infection time of days. Is this evidence that the mean time to be cures is actually more than advertised?

We test the hypotheses H0: = 5 and Ha: > 5

What does it mean if the p-value is 0.026. Interpret the p-value.

Explanation / Answer

Here as we are not given the level of significance for the test, therefore assuming it to be 0.05 which is the generally taken level of significance, we see that the p-value here is 0.026 < 0.05 which is the level of significance, therefore the test is significant here and therefore we can reject the null hypothesis here. We have sufficient evidence here to support the claim that the mean is greater than 5 here.

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