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 21.213 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 0.01 significance level. (a) Identify the correct alternative hypothesis Ha: Ομ= 21.21 Ομ> 21.21 Ομ< 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 reject Ho O Reject Ho (e) Explain your choice in the box below. (f) Based on your work above, choose one of the following conclusions of your test: O There is not sufficient evidence to support the claim O There is sufficient evidence to warrant rejection of the claim O The sample data supports the claim O There is not sufficient evidence to warrant rejection of the claim

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 40 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 0.01 mm.
Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than
21.21 mm. Test at the 0.01 significance level.
(a) Identify the correct alternative hypothesis Ha:
Ομ= 21.21
Ομ> 21.21
Ομ< 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:
O Fail to reject Ho
O Reject Ho
(e) Explain your choice in the box below.
(f) Based on your work above, choose one of the following conclusions of your test:
O There is not sufficient evidence to support the claim
O There is sufficient evidence to warrant rejection of the claim
O The sample data supports the claim
O There is not sufficient evidence to warrant rejection of the claim
Transcribed Image Text: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 21.213 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 0.01 significance level. (a) Identify the correct alternative hypothesis Ha: Ομ= 21.21 Ομ> 21.21 Ομ< 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: O Fail to reject Ho O Reject Ho (e) Explain your choice in the box below. (f) Based on your work above, choose one of the following conclusions of your test: O There is not sufficient evidence to support the claim O There is sufficient evidence to warrant rejection of the claim O The sample data supports the claim O There is not sufficient evidence to warrant rejection of the claim
(g) Explain your choice in the box below.
Transcribed Image Text:(g) Explain your choice in the box below.
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