Question: The following values were obtained in a sample:

4, 6, 8, 7, 8, 9, 1, 3

The standard deviation of this sample is 2.816.

a) By hand, calculate the standard error and from this the 95% confidence interval for the population mean.

b) check your answer using minitab as follows:

Stat, basic statistics, 1-sample t. Select the column you’re testing in the variable box and click OK. Be sure you understand the output before moving on.

c) do you think it likely that this sample came from a population with a mean of 10?

d) To answer this question, use your edit last dialogue button and put in 10 in the box that says “test mean”. Then press OK. Look at the value for “p”. Write it down here:

d) Try changing the test mean and see what happens to the results.

e) Use the options button to change the confidence interval to 99 and then to 99.9. Look at the results and comment

f) Explore the graphical functions within the 1-sample t-test function.