A quality control manager takes an SRS of 500 phone batteries from factory A, where 5% of the batteries have a defect. the manager also takes an independent SRS of 250 batteries from factory B, where 9% of proportions of the batteries have a defect. The manager will then look at the difference (B-A) between the proportions of defective batteries in each sample. What are the mean and standard deviation of the sampling distribution of the difference in sample proportions?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 6E
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A quality control manager takes an SRS of 500 phone batteries from factory A, where 5% of the batteries have a defect. the manager also takes an independent SRS of 250 batteries from factory B, where 9% of proportions of the batteries have a defect. The manager will then look at the difference (B-A) between the proportions of defective batteries in each sample.

 

What are the mean and standard deviation of the sampling distribution of the difference in sample proportions?

 

 

O Pg PA
=0.04.
%3D
"PB-PA
0.05(0.95)
500
0.09(0.91)
250
%3D
O Hpg-PA
= 0.04.
%3D
0.05(0.95)
0.09(0.91)
"PB-PA
%3D
-
500
250
O Ppg-PA
= 0.07.
0.05(0.95)
0.09(0.91)
"PB-PA
%3D
500
250
= 0.07.
"PB PA
0.05(0.95)
0.09(0.91)
"PB-PA
%3D
500
250
Transcribed Image Text:O Pg PA =0.04. %3D "PB-PA 0.05(0.95) 500 0.09(0.91) 250 %3D O Hpg-PA = 0.04. %3D 0.05(0.95) 0.09(0.91) "PB-PA %3D - 500 250 O Ppg-PA = 0.07. 0.05(0.95) 0.09(0.91) "PB-PA %3D 500 250 = 0.07. "PB PA 0.05(0.95) 0.09(0.91) "PB-PA %3D 500 250
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