Question

A researcher wants to test to see if a population mean is different from 6. Based on a sample of size 33 the sample mean is 6.3, and the sample standard deviation is 1.1. Use a 5% significance level to carry out the appropriate hypothesis test. The critical values of the test statistic that divide the rejection and non-rejection regions are plus-or-minus what value?

What is the value of the test statistic?   Round your answer to 2 decimal places.

Answer 1

Solution:

The null and alternative hypothesis are

H0: = 6 vs H1:     6

= 5% = 0.05

/2 = 0.05/2 = 0.025

n = 33

df = n - 1 = 33 - 1 = 32

Critical values are

Critical values:

The test statistic t is

t =   = [6.3 - 6]/[1.1 /33] = 1.57

The value of the test​ statistic t = 1.57