The manufacturer of an over-the-counter heartburn relief mediation claims that its product brings relief in less than 3.5 minutes,on average.To be able to make this claim the manufacturer was required by the FDA to present statistical evidence in support of the claim.The manufacturer reported that for a sample of 50 heartburn sufferers,the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes.Calculate the p-value that corresponds to the test statistic.

Question

Quizplus · Accepted Answer

The p-value is the probability of getting a test statistic as extreme as or more extreme than the one observed, assuming the null hypothesis is true. In this case, the null hypothesis is that the mean time to relief is 3.5 minutes. The test statistic is the difference between the sample mean and the hypothesized mean, divided by the standard deviation of the sample. In this case, the test statistic is (3.3 - 3.5) / 1.1 = -0.182. The p-value is the probability of getting a test statistic as extreme as or more extreme than -0.182, assuming the null hypothesis is true. This probability can be calculated using a t-distribution with 49 degrees of freedom. The p-value is 0.0985.

The Manufacturer of an Over-The-Counter Heartburn Relief Mediation Claims That