You wish to test H0 5 against the alternative HA 5 You colle

You wish to test H₀: =5 against the alternative H_A: 5.
You collect a sample of N=90 observations and calculate x=5.1 and s = 1.
Using the Minitab command Stat>Basic Statistics>1 sample t, test the hypothesis at the 5% significance level. When using this command, you should click on the button for \"summarized data.\" Click on the box \"Perform hypothesis test.\" Your hypothesized value is 5.0. Click on options to make sure you have the right confidence level (=100%-significance level=95%).

Put the test statistic (labeled T in the Minitab output) in Blank #1 (two decimal places) and the p-value in Blank #2 (3 decimal places).

Should we reject H₀? Yes or no, Blank #3.

Solution

The table after performing the steps provided in minitab is,,,,

N Mean StDev SE Mean 95% CI T P
90 5.100 1.000 0.105 (4.891, 5.309) 0.95 0.345

so T=0.95

p-value=0.345

we are fali to reject H0 (NO)