Question

The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 40 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.209 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 HaHa:

μ>21.21

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 answers above, do you:

(i) Reject H0

(ii) Fail to reject H0

Explain your choice

(i) the sample data supports the claim,

(ii) there is not sufficient evidence to support the claim,

(iii) there is sufficient evidence to warrant rejection of the claim

(iv) there is not sufficient evidence to warrant rejection of the claim.

Explain your choice

Answer 1