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?

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Definitions:

Self-control

The capacity to control our feelings, thoughts, and actions when confronted with challenges and spontaneous desires.

Contrast Assumption

The assumption that objects have only one label. Also known as the mutual exclusivity assumption (if a word means one thing, then it cannot mean another).

One Label

The concept of using a single term or classification to describe or identify something, often simplifying complex attributes.

Cognitive Sophistication

The advanced level of cognitive development characterized by complex thinking processes, such as abstract reasoning and problem-solving capabilities.