Question

To estimate for a population mean, one uses a randomly selected sample of size 38. Which distrubution can be used to estimate for the population mean?

Select one:

a. a chi-square distribution

b. the standard normal distribution.

c. None of other answer is neccessary true

d. a t-student distribution

Answer 1

The answer is c. None of the answer is neccessary true.

All the other options are used in testing. For example, a Chi-square distribution is used to test the variance

The standard normal distribution is also used in finding out Z score and then to test hypotheses based on the population/sample mean. A t-distribution is used to test the sample meanwhen the population standard deviation is not known.

The problem given here is to estimate the population mean and for doing this, the distributional assumptions are in general not needed.