Refer to Exercise 11.a. Find a 95% upper confidence bound

Solution 18E

Step1 of 3:

Let us consider a random variable X it represents the sugar content contained in a certain breakfast. Here random variable X follows normal distribution with mean standard deviation and n = 140.

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% upper confidence bound for the mean sugar content.

b). We need to find level of confidence can this statement be made by taking mean sugar content is greater than 11.7 g.  

Step2 of 3:

a).