Homework Help is Here – Start Your Trial Now!
Math
Statistics
A company claims that the number of defective items manufactured during each run of making 100 of their products is independent of the number from other runs and that the proportion of defectives is not more than 3%. Assuming that the defective rate for each run is 3% Which of the following can be used to determine whether x = 8 is unusually a high number of defective items on the next run of 100 of their products?

A company claims that the number of defective items manufactured during each run of making 100 of their products is independent of the number from other runs and that the proportion of defectives is not more than 3%. Assuming that the defective rate for each run is 3% Which of the following can be used to determine whether x = 8 is unusually a high number of defective items on the next run of 100 of their products?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
See similar textbooks
icon
Related questions
Question

A company claims that the number of defective items manufactured during each run of making

100 of their products is independent of the number from other runs and that the proportion of

defectives is not more than 3%. Assuming that the defective rate for each run is 3%

Which of the following can be used to determine whether x = 8 is unusually a high number of

defective items on the next run of 100 of their products?

 

 

I. Yes. Because the meanu = 100 x 0.03 = 3, the standard deviation o = /npq = V100-0.03. 0.97 %3D - 1.7, and applying the range rule of thumb, x = 8 is over the upper limit: 3 + 2 x 1.7 = 6.4 II. Yes. Because the probability P(x = 8) = 100C8 x 0.03° x 0.972 - 0.00741 is very small III. Yes. Because the probability P(x 2 8) = 1 - P(x< 8) = 1- 0.9968 = 0.0032 is less than 0.05
Transcribed Image Text:I. Yes. Because the meanu = 100 x 0.03 = 3, the standard deviation o = /npq = V100-0.03. 0.97 %3D - 1.7, and applying the range rule of thumb, x = 8 is over the upper limit: 3 + 2 x 1.7 = 6.4 II. Yes. Because the probability P(x = 8) = 100C8 x 0.03° x 0.972 - 0.00741 is very small III. Yes. Because the probability P(x 2 8) = 1 - P(x< 8) = 1- 0.9968 = 0.0032 is less than 0.05
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS