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Name: The accuracy of a coin-counter machine is gauged to accept nickels wit
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Description: 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
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

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