The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 39 nickels was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.214 mm and sample standard deviation 0.01 mm.

Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level.

(a) Identify the correct alternative hypothesisHa:

• < 21.21
• = 21.21
• > 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 answers above, do you:
• Fail to rejectH
• RejectH

(e) Explain your choice in the box below.

(f) Based on your work above, choose one of the following conclusions of your test:

• There is not sufficient evidence to support the claim
• There is sufficient evidence to warrant rejection of the claim
• There is not sufficient evidence to warrant rejection of the claim
• The sample data supports the claim

(g) Explain your choice below.