10. In the past, a machine has produced washers having a thickness of 0.050 inch (in). To determine whether the machine is in proper working order, a sample of 10 washers is chosen, for which the mean thickness is 0.053 in and the standard deviation is 0.003 in. Test the hypothesis that the machine is in proper working order, use significance level of 0.05. a) State the hypotheses b) State the level of significance c) State the decision rule (Sampling distribution) d) Calculate the test statistic e) State the critical regions, decision and the conclusion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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10. In the past, a machine has produced washers having a thickness of 0.050 inch (in).
To determine whether the machine is in proper working order, a sample of 10
washers is chosen, for which the mean thickness is 0.053 in and the standard
deviation is 0.003 in. Test the hypothesis that the machine is in proper working
order, use significance level of 0.05.
a) State the hypotheses
b) State the level of significance
c) State the decision rule (Sampling distribution)
d) Calculate the test statistic
e) State the critical regions, decision and the conclusion
Transcribed Image Text:10. In the past, a machine has produced washers having a thickness of 0.050 inch (in). To determine whether the machine is in proper working order, a sample of 10 washers is chosen, for which the mean thickness is 0.053 in and the standard deviation is 0.003 in. Test the hypothesis that the machine is in proper working order, use significance level of 0.05. a) State the hypotheses b) State the level of significance c) State the decision rule (Sampling distribution) d) Calculate the test statistic e) State the critical regions, decision and the conclusion
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