Solution Found!
Refer to Exercise 7.a. Find a 95% lower confidence bound
Chapter 5, Problem 14E(choose chapter or problem)
Refer to Exercise 7.
a. Find a 95% lower confidence bound for the mean capacity of this type of battery.
b. An engineer claims that the mean capacity is greater than 175 ampere-hours. With what level
of confidence can this statement be made?
Questions & Answers
QUESTION:
Refer to Exercise 7.
a. Find a 95% lower confidence bound for the mean capacity of this type of battery.
b. An engineer claims that the mean capacity is greater than 175 ampere-hours. With what level
of confidence can this statement be made?
ANSWER:
Solution 14E
Step1 of 3:
Let us consider a random variable X it represents the capacity of batteries. Here random variable X follows normal distribution with mean standard deviation
and n = 120.
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 capacity of this type of battery.
b). We need to find level of confidence can this statement be made, by taking the mean capacity is greater than 175 ampere-hours.
Step2 of 3: