Question

For a particular known population, the mean is 100 and the standard deviation is 5. A researcher conducts a study in which 10 participants are exposed to an experimental procedure. To test the hypothesis that the population these 10 participants represent is different from the known population, the comparison distribution’s mean would be:

Answer 1

Answer: 100

For a particular known population, the mean is 100 and the standard deviation is 5. A researcher conducts a study in which 10 participants are exposed to an experimental procedure. To test the hypothesis that the population these 10 participants represent is different from the known population, the comparison distribution’s mean would be 100.

Explanation:

We are given that the population mean is µ = 100.

For hypothesis test about population mean, we compare the mean of the sampling distribution of the sample statistic with the population parameter. In this case, population parameter is given as population mean and the sample statistic is the sample mean. The expected value of the sampling distribution of the sample mean is given as E(X̄) = µ.

So, we have E(X̄) = µ = 100.