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Refer to Exercise 10.a. Find a 98% lower confidence bound
Chapter 5, Problem 17E(choose chapter or problem)
Refer to Exercise 10.
a. Find a 98% lower confidence bound for the mean efficiency.
b. The claim is made that the mean efficiency is greater than 84.6%.With what level of confidence can this statement be made?
Questions & Answers
QUESTION:
Refer to Exercise 10.
a. Find a 98% lower confidence bound for the mean efficiency.
b. The claim is made that the mean efficiency is greater than 84.6%.With what level of confidence can this statement be made?
ANSWER:
Solution 17E
Step1 of 3:
Let us consider a random variable X it represents the efficiency of electric motors. Here random variable X follows normal distribution with mean standard deviation and n = 60.
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 98% lower confidence bound for the mean efficiency.
b).We need to find level of confidence can this statement be made by taking mean efficiency is greater than 84.6%.
Step2 of 3:
a).