What hypothesis testing procedure should you use to answer these questions? Assume all samples are simple random samples, and assume x = 0.05 if it isn't specified. A company wishes to purchase a new machine to produce ball bearings since the new machine is faster, and so will produce more ball bearings than the old machine. They decide to purchase the new machine only if the mean strength of the bearings is not less than the old machine. The old machine produces bearings that can withstand 400 lbs per square inch. The company is allowed to test the new machine for a day, so they produce 100 ball bearings under the usual operating conditions on the new machine. They find that the average strength to be approximately 398.5 lbs per square inch and the SD to be about 5 lbs per square inch. The sample distribution does not look normal. Should the company purchase the new machine, at x = 0.05? One sample z-test for the population mean. Two sample z-test for the population means. One sample z-test for proportions. Two sample z-test for proportions. One sample t-test for the population mean. None of our hypothesis tests fit. 22

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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What hypothesis testing procedure should you use to answer these questions?
Assume all samples are simple random samples, and assume x = 0.05 if it isn't
specified.
A company wishes to purchase a new machine to produce ball bearings since the
new machine is faster, and so will produce more ball bearings than the old machine.
They decide to purchase the new machine only if the mean strength of the bearings
is not less than the old machine. The old machine produces bearings that can
withstand 400 lbs per square inch. The company is allowed to test the new machine
for a day, so they produce 100 ball bearings under the usual operating conditions on
the new machine. They find that the average strength to be approximately 398.5 lbs
per square inch and the SD to be about 5 lbs per square inch. The sample
distribution does not look normal. Should the company purchase the new machine,
at x = 0.05?
One sample z-test for the population mean.
Two sample z-test for the population means.
One sample z-test for proportions.
Two sample z-test for proportions.
One sample t-test for the population mean.
None of our hypothesis tests fit.
22
Transcribed Image Text:What hypothesis testing procedure should you use to answer these questions? Assume all samples are simple random samples, and assume x = 0.05 if it isn't specified. A company wishes to purchase a new machine to produce ball bearings since the new machine is faster, and so will produce more ball bearings than the old machine. They decide to purchase the new machine only if the mean strength of the bearings is not less than the old machine. The old machine produces bearings that can withstand 400 lbs per square inch. The company is allowed to test the new machine for a day, so they produce 100 ball bearings under the usual operating conditions on the new machine. They find that the average strength to be approximately 398.5 lbs per square inch and the SD to be about 5 lbs per square inch. The sample distribution does not look normal. Should the company purchase the new machine, at x = 0.05? One sample z-test for the population mean. Two sample z-test for the population means. One sample z-test for proportions. Two sample z-test for proportions. One sample t-test for the population mean. None of our hypothesis tests fit. 22
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