The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 36 nickles was drawn from a reported defective coin-counter machine located...

The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 36 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.213 mm and sample standard deviation 0.007 mm.



Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level.



(a) Identify the correct alternative hypothesis Ha

:

• μ=21.21




• μ>21.21

Give all answers correct to 4 decimal places.



(b) The test statistic value is:



(c) Using the Traditional method, the critical value is:



(d) Based on your asnwers above, do you:

(i) Reject H0

(ii) Fail to reject H0