Refer to Exercise 10.a. Find a 98% lower confidence bound

Chapter 5, Problem 17E

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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?

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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).

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