Question

Determine whether the hypothesis test involves using a normal distribution, Student t distribution, or neither.

Claim: μ = 981. Sample data: n = 15,   = 972, s = 26.
The sample data appear to come from a normally distributed population with unknown σ.

Select one:

Neither normal nor t-distribution

Student's t-distribution

Normal distribution

Answer 1

Student's t-distribution

Explanation:

We use the Student's t-distribution when we don’t know the value for the population standard deviation and we use the normal distribution when we know the value for the population standard deviation.

For the given scenario, we are given a sample standard deviation and we are not given the population standard deviation. So, for this test of population mean, we need to use one sample t test for the population mean.