The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 38 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 0.01 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 hypothesis HaHa: μ=21.21μ=21.21 μ>21.21μ>21.21 μ<21.21μ<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:

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Chapter1: Combinatorial Analysis
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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 38 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 0.01 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 hypothesis HaHa:

  • μ=21.21μ=21.21
  • μ>21.21μ>21.21
  • μ<21.21μ<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: 

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