Answer:
The value of the test statistic is of 0.22.
Step-by-step explanation:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation(square root of the variance) and n is the size of the sample.
A lumber company is making boards that are 2920.0 millimeters tall.
This means that [tex]\mu = 2920[/tex].
A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.
This means that [tex]X = 2922.7, n = 12, \sigma = \sqrt{121} = 11[/tex]. So
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{2922.7 - 2922}{\frac{11}{\sqrt{12}}}[/tex]
[tex]t = 0.22[/tex]
The value of the test statistic is of 0.22.
