The Energetic Corporation produces electric light bulbs. When everything is going properly, the lengths of these light bulbs are normally distributed, with a mean of 3.00 inches, and a standard deviation of 0.10 inches. Suppose everything is going properly.If you take a random sample of just 1 bulb, what is the ­ probability that its length will be within the range of 2.95– 3.05 inches? b. If you take a random sample of 10 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches? c. If you take a random sample of 40 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches? Suppose, in the situation above, you do not really know that everything is going properly. a. If your sample of 1 has a length outside the range of 2.95– 3.05, would you be concerned? b. If your sample of 10 has a mean length outside the range of 2.95– 3.05, would you be concerned? c. If your sample of 40 has a mean length outside the range of 2.95– 3.05, would you be concerned?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question

The Energetic Corporation produces electric light bulbs. When everything is going properly, the lengths of these light bulbs are normally distributed, with a mean of 3.00 inches, and a standard deviation of 0.10 inches. Suppose everything is going properly.If you take a random sample of just 1 bulb, what is the ­ probability that its length will be within the range of 2.95– 3.05 inches? b. If you take a random sample of 10 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches? c. If you take a random sample of 40 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches?

Suppose, in the situation above, you do not really know that everything is going properly. a. If your sample of 1 has a length outside the range of 2.95– 3.05, would you be concerned? b. If your sample of 10 has a mean length outside the range of 2.95– 3.05, would you be concerned? c. If your sample of 40 has a mean length outside the range of 2.95– 3.05, would you be concerned?


Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning