The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 41 nickles 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 0.011 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 hypothesis H.: 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(round to 2 decimal places): (d) Based on your answers above, do you: O Fail to reject Ho O Reject Ho
The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 41 nickles 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 0.011 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 hypothesis H.: 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(round to 2 decimal places): (d) Based on your answers above, do you: O Fail to reject Ho O Reject Ho
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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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 41 nickles 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 0.011 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 hypothesis H.:
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(round to 2 decimal places) :
(d) Based on your answers above, do you:
O Fail to reject Ho
O Reject Ho
Transcribed Image Text:(e) Explain your choice in the box below.
(f) Based on your work above, choose one of the following conclusions of your test:
O The sample data supports the claim
O There is not sufficient evidence to warrant rejection of the claim
O There is not sufficient evidence to support the claim
O There is sufficient evidence to warrant rejection of the claim
(g) Explain your choice in the box below.
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