a) To determine if the process is under control, that is, if μ = 3, a random sample of 100 ball bearings are to be selected, and the average diameter is to be computed from this sample. If the process is under control, then approximately 95% of the sample means should lie between what two values? b) Suppose that the random sample of 100 ball bearings yields a sample mean of 3.05 mm with sample standard deviation of 0.2 mm. Construct a 95% confidence interval for the population mean diameter of the manufacturing process. c) Perform a hypothesis test, at the α = 0.05 significance level, using the sample mean of 3.05 mm based on the 100 ball bearings sample to find out if the mean diameter of the ball bearings is not 3 mm. Verify Assumptions:
Suppose that a ball bearing manufacturing process is supposed to make ball bearings with a diameter of 3 mm. Not every ball bearing has this diameter; however, and historically the standard deviation of the diameter is approximately 0.2 mm.
a) To determine if the process is under control, that is, if μ = 3, a random sample of 100 ball bearings are to be selected, and the average diameter is to be computed from this sample. If the process is under control, then approximately 95% of the sample means should lie between what two values?
b) Suppose that the random sample of 100 ball bearings yields a sample
c) Perform a hypothesis test, at the α = 0.05 significance level, using the sample mean of 3.05 mm based on the 100 ball bearings sample to find out if the mean diameter of the ball bearings is not 3 mm.
Verify Assumptions:
H0:
H1:
Level of Significance:
Test Statistic:
p-value:
Critical (rejection) value(s):
Approaches:
Conclusion:
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