Solution Found!
Refer to Exercise 5.a. Find a 95% lower confidence bound
Chapter 5, Problem 12E(choose chapter or problem)
Refer to Exercise 5.
a. Find a 95% lower confidence bound for the mean strength.
b. Someone says that the mean strength is less than 50.4 kN. With what level of confidence can this statement be made?
Questions & Answers
QUESTION:
Refer to Exercise 5.
a. Find a 95% lower confidence bound for the mean strength.
b. Someone says that the mean strength is less than 50.4 kN. With what level of confidence can this statement be made?
ANSWER:
Solution 12E
Step1 of 3:
Let us consider a random variable X it represents the breaking strength of steel wire. Here random variable X follows normal distribution with mean standard deviation and
n = 100.
That is
The probability density function of normal distribution is given by
, .
Where,
x = random variable
= mean of X
= variance of X
= standard deviation os X
= mathematical constant and its value is 3.14
Here our goal is:
a). We need to find a 95% lower confidence bound for the mean strength.
b). We need to find level of confidence can this statement be made, by taking the mean strength is less than 50.4kn.
Step2 of 3: