Question

A large soda producer is interested in determining the average number of ounces of soda in their bottles labeled 16- ounces. A random sample of 600 bottles is selected from that day’s total production. The average number of ounces of soda is found to be 16.18 with a standard deviation of 0.32 ounces. Find a 95% confidence interval for the mean number of ounces of soda in such packaging.

1. 1) Answer the following

   1. a) Is this a “proportion of success” or a “means” problem?

   2. b) What calculator function are you using?

   3. c) What confidence interval did you get?

2. 2) Interpret the confidence interval in context. Be sure to use the words of the problem.

Answer 1

a) This is a mean problem. We shall be using t distribution since the population standard deviation is not given.

b)

Press [STAT]->Calc->8. t-interval then [ENTER].

S = 0.32

C - Level: 0.95

All you have to do is highlight CALCULATE and press ENTER.

c) Confidence interval is (16.154,16.206).

2) We are 95% confident that the mean number of ounces of soda in such packaging is between the interval (16.154,16.206).