Question

Test the claim at ? = 0.01 that ? < 10. A sample size of 20 yields a sample mean of 17.5 and a sample standard deviation of 1. Enter the df with 0 decimal places

Answer 1

The test statistic t = ()/(s/)

                             = (17.5 - 10)/(1/sqrt(20))

                             = 33.54

At = 0.01, the critical value t_{0.01, 19} = -2.539

Since the test statistic value is not less than the lower critical value (33.54 > -2.539), we should not reject H₀.