A rods manufacturer makes rods with a length that is supposed to be 16 inches. A quality control technician sampled 13 rods and found that the sample mean length was 16.07 inches and the sample standard deviation was 0.22 inches. The technician claims that the mean rod length is more than 16 inches. What type of hypothesis test should be performed? What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the α=0.1 significance level to support the technician's claim?

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A rods manufacturer makes rods with a length that is supposed to be 16 inches. A quality control technician sampled 13 rods and found that the sample mean length was 16.07 inches and the sample standard deviation was 0.22 inches. The technician claims that the mean rod length is more than 16 inches.

What type of hypothesis test should be performed?

What is the test statistic?

What is the number of degrees of freedom?

Does sufficient evidence exist at the α=0.1 significance level to support the technician's claim?

Expert Solution
Step 1

the sample mean length , x =16.07 inches  

sample standard deviation , s = 0.22 

A rods manufacturer makes rods with a length that is supposed to be 16 inches

Hypothetical Mean = 16

 

a) As we have been provided with sample standard deviation, we will use T-test for one population mean for the Hypothesis testing

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