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 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 this volume is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine. (Montgomery and Rungers, p. 381) Here is the Microsoft Excel Report from the data given on this problem. A B с D 1 t-Test: Two-Sample Assuming Unequal Variances 2 3 Variable 1 Variable 2 4 Mean 14.015 16.005 5 Variance 0.00065 6 Observations 10 7 Hypothesized Me 8 df 9 t Stat 10 P(T<=t) one-tail 11 t Critical one-tail 12 P(T<=t) two-tail 13 t Critical two-tail 14 17.77869444 10 0 9 -1.492434241 0.084892188 1.833112933 0.169784375 2.262157163

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Follow the steps in hypothesis using p-value method. The output of the
Microsoft Excel is shown in the last part.

 

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 this volume is 16.0 ounces. A random sample of 10
bottles is taken from the output of each machine. (Montgomery and Rungers, p. 381)
Here is the Microsoft Excel Report from the data given on this problem.
A
B
с
D
1 t-Test: Two-Sample Assuming Unequal Variances
2
3
Variable 1
Variable 2
14.015 16.005
4 Mean
5 Variance
0.00065
6 Observations
10
7 Hypothesized Me
8
df
9 t Stat
10 P(T<=t) one-tail
11 t Critical one-tail
12 P(T<=t) two-tail
13 t Critical two-tail
14
17.77869444
10
0
9
-1.492434241
0.084892188
1.833112933
0.169784375
2.262157163
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 this volume is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine. (Montgomery and Rungers, p. 381) Here is the Microsoft Excel Report from the data given on this problem. A B с D 1 t-Test: Two-Sample Assuming Unequal Variances 2 3 Variable 1 Variable 2 14.015 16.005 4 Mean 5 Variance 0.00065 6 Observations 10 7 Hypothesized Me 8 df 9 t Stat 10 P(T<=t) one-tail 11 t Critical one-tail 12 P(T<=t) two-tail 13 t Critical two-tail 14 17.77869444 10 0 9 -1.492434241 0.084892188 1.833112933 0.169784375 2.262157163
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