A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.19 centimeters in diameter. The variance of the bolts should be 0.015. A random sample of 21 bolts has an average diameter of 0.18cm with a standard deviation of 0.1908. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.025 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places.
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.19 centimeters in diameter. The variance of the bolts should be 0.015. A random sample of 21 bolts has an average diameter of 0.18cm with a standard deviation of 0.1908. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.025 level?
Step 1 of 5 :
State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary
Step 2 of 5 :
Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.
Step 3 of 5 :
Determine the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5 :
Make the decision.
Step 5 of 5 :
What is the conclusion?
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