Answer:
The value of the test statistic is 4.41
Step-by-step explanation:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the mean of the sample, [tex]\mu[/tex] is the value of the claim, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
In this problem, we have that:
[tex]X = 138, \mu = 133, \sigma = 6, n = 28[/tex]
So
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{138 - 133}{\frac{6}{\sqrt{28}}}[/tex]
[tex]t = 4.41[/tex]
The value of the test statistic is 4.41
