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Breaking Strength of Steel Cable The average breaking
Chapter 6, Problem 28EC(choose chapter or problem)
Problem 28EC
Breaking Strength of Steel Cable The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population. Assume the variable is normally distributed.
Questions & Answers
QUESTION:
Problem 28EC
Breaking Strength of Steel Cable The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population. Assume the variable is normally distributed.
ANSWER:
Solution:
Step 1 of 2:
From the given problem we have
The mean pounds
The standard deviation pounds
The sample size n = 20
Here we have to find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population.