Refer to Exercise 8.a. Find a 99% upper confidence bound

Chapter 5, Problem 15E

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QUESTION:

Refer to Exercise 8.

a. Find a 99% upper confidence bound for the mean temperature.

b. The claim is made that the mean temperature is less than 349.5◦F. With what level of confidence can this statement be made?

Questions & Answers

QUESTION:

Refer to Exercise 8.

a. Find a 99% upper confidence bound for the mean temperature.

b. The claim is made that the mean temperature is less than 349.5◦F. With what level of confidence can this statement be made?

ANSWER:

Solution 15E

Step1 of 3:

Let us consider a random variable X it represents the oven temperature. Here random variable X follows normal distribution with mean standard deviation and n = 67.

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 99% upper confidence bound for the mean temperature.

b). We need to find level of confidence can this statement be made by taking the mean temperature is less than 349.5°F.


Step2 of 3:

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