Answer:
The estimated standard error is SM=1.1547 . The t statistic is 1.4722.
Step-by-step explanation:
We have to esimate the standard error and test statistic for a sample.
The sample has a size n=27.
The sample mean is M=17.7.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√36=6.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{27}}=1.1547[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{17.7-16}{1.1547}=\dfrac{1.7}{1.1547}=1.4722[/tex]
