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A Machine Produces Pipes Used in Airplanes

question 29

Essay

A machine produces pipes used in airplanes. The average length of the pipe is 16 inches. The acceptable variance for the length is .3 inches. A sample of 25 pipes was taken. The average length in the sample was 15.95 inches with a variance of .4 inches.
a.Construct a 95% confidence interval for the population variance.
b.State the null and alternative hypotheses to be tested.
c.Compute the test statistic.
d.The null hypothesis is to be tested at the 5% level of significance. State the decision rule for the test using the critical value approach.
e.What do you conclude about the population variance?


Definitions:

Eye Muscles

The muscles that move the eye and control the dilation of the pupil; critical for vision and eye movement.

Farsighted

The condition of being able to see distant objects more clearly than objects that are near.

Habituation

The process of becoming accustomed to a stimulus after repeated exposure, leading to a decrease in the response to that stimulus over time.

Dishabituation

The renewal of attention or response to a novel stimulus after habituation has occurred to a previous stimulus.

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