Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed to be normal with standard deviation ₁ = 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. Machine 1: 16.03, 16.01, 16.04, 15.96, 16.05, 15.98, 16.05, 16.02, 16.02, 15.99 Machine 2: 16.02, 16.03, 15.97, 16.04, 15.96, 16.02, 16.01, 16.01, 15.99, 16.00 Is the engineer correct that both machines fill to same mean net volume? Use a = 0.10. a. Fail to reject the Null Hypothesis. -1.96 <0.99 < 1.96 b. Fail to reject the Null Hypothesis. -1.65 <0.99 < 1.65 c. Fail to reject the Null Hypothesis d. None among the choices

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill
volume can be assumed to be normal with standard deviation o₁ = 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.
Machine 1: 16.03, 16.01, 16.04, 15.96, 16.05, 15.98, 16.05, 16.02, 16.02, 15.99
Machine 2: 16.02, 16.03, 15.97, 16.04, 15.96, 16.02, 16.01, 16.01, 15.99, 16.00
Is the engineer correct that both machines fill to same mean net volume? Use a = 0.10.
a.
Fail to reject the Null Hypothesis. -1.96 <0.99 < 1.96
b. Fail to reject the Null Hypothesis. -1.65 < 0.99 < 1.65
O c. Fail to reject the Null Hypothesis
d. None among the choices
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 to be normal with standard deviation o₁ = 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. Machine 1: 16.03, 16.01, 16.04, 15.96, 16.05, 15.98, 16.05, 16.02, 16.02, 15.99 Machine 2: 16.02, 16.03, 15.97, 16.04, 15.96, 16.02, 16.01, 16.01, 15.99, 16.00 Is the engineer correct that both machines fill to same mean net volume? Use a = 0.10. a. Fail to reject the Null Hypothesis. -1.96 <0.99 < 1.96 b. Fail to reject the Null Hypothesis. -1.65 < 0.99 < 1.65 O c. Fail to reject the Null Hypothesis d. None among the choices
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