Question

10.Which is NOT a condition / assumption of the one-sample t inference for the mean mu of a population? (Multiple Choice) a. Known population standard deviation sigma b. Random sample from a much larger population c.None of them: all three conditions / assumptions are necessary d. Quantitative variable with either a Normal distribution or a large enough sample size

Answer 1

Solution:

t distribution is used when population standard deviation is unknown and sample is randomly selected from Normally distributed population.

We use estimate of population standard deviation as a sample standard deviation s.

Thus using this sample standard deviation s we make inferences about population mean .

Thus a) Known population standard deviation sigma is NOT a condition / assumption of the one-sample t inference for the mean mu of a population