Find the critical values.

Question

An MP claims that the average number of acres in his province’s State Parks is less than 2000 acres.

A random sample of five parks is selected and the number of acres is shown below:

959, 1187, 493, 6249, 541

Assume the variable must be normally distributed, at



= 0.01 is there enough evidence to support

the claim? To draw your conclusion, state the hypotheses and identify the claim, find the critical

value(s), label the acceptance and rejection region, calculate the test value and summarize the results

Answer 1

We're comparing a sample mean to a value, so we run a t-test.

Find t from a table based on alpha = 0.01 (one-sided) and df=4.

confidence interval = m ± t * (s / √n)

test value t = ( m - µ ) / (s / √n)