Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed normal, with standard deviation 0₁ = 0.020 and 02 = 0.025 ounces. A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine. Use a = 0.10 Machine 1 Machine 2 16.67 16.29 16.87 16.29 15.43 16.19 16.49 15.46 16.04 15.56 16.51 15.92 16.54 15.88 16.99 15.49 16.09 16.78 16.39 16.91

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 13PPS
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1. What is the appropriate statistical tool to use for this study? 2. What is the critical value? 3. What is the standardized test statistic? Show complete solution
Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The
fill volume can be assumed normal, with standard deviation 01 = 0.020 and ₂ = 0.025
ounces. A member of the quality engineering staff suspects that both machines fill to the
same mean net volume, whether or not this volume is 16.0 ounces. A random sample of
10 bottles is taken from the output of each machine. Use α = 0.10
Machine 1
16.67 16.29 16.87 16.29 15.43
16.51 15.92 16.54 15.88 16.99
16.19 16.49
15.49 16.09
Machine 2
15.46 16.04 15.56
16.39 16.91
16.78
Transcribed Image Text:Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed normal, with standard deviation 01 = 0.020 and ₂ = 0.025 ounces. A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine. Use α = 0.10 Machine 1 16.67 16.29 16.87 16.29 15.43 16.51 15.92 16.54 15.88 16.99 16.19 16.49 15.49 16.09 Machine 2 15.46 16.04 15.56 16.39 16.91 16.78
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