5. The following are the packaging times from two shipping machines (in seconds per shipment): Machine A 42.1 41.3 42.4 43.2 41.8 41.0 41.8 42.8 42.3 42.7 Machine B 42.7 43.8 42.5 43.1 44.0 43.6 43.3 43.5 41.7 44.1 Assuming these data represent random samples from normal populations, examine the hypothesis of equal variances. Clearly state all the elements of the test, including your conclusion and its justification.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Question
5. The following are the packaging times from two shipping machines (in seconds per shipment):
Machine A 42.1 41.3 42.4 43.2 41.8 41.0 41.8 42.8 42.3 42.7
Machine B 42.7 43.8 42.5 43.1 44.0 43.6 43.3 43.5 41.7 44.1
Assuming these data represent random samples from normal populations, examine the hypothesis of equal
variances. Clearly state all the elements of the test, including your conclusion and its justification.
Transcribed Image Text:5. The following are the packaging times from two shipping machines (in seconds per shipment): Machine A 42.1 41.3 42.4 43.2 41.8 41.0 41.8 42.8 42.3 42.7 Machine B 42.7 43.8 42.5 43.1 44.0 43.6 43.3 43.5 41.7 44.1 Assuming these data represent random samples from normal populations, examine the hypothesis of equal variances. Clearly state all the elements of the test, including your conclusion and its justification.
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Can you construct a 99% confidence interval for the difference between the true
average packaging times for the two machines, assuming equal variances. And interpret the final result (here, interval is entirely above/below 0 or not)—and say if the results of the problem above cause any concern based on this interpretation?

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