Question

Question 1: A machine is used to fill container with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of 10 containers is selected, and the net contents (oz.) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99. Suppose that the manufacturer wants to be sure that the mean net contents exceed 12 oz. What conclusions can be drawn from the data using a 95% confidence interval on the mean fill volume?

x=12.015, s=0.0303, n=10

Answer 1

Define the null and the alternative hypothesis as

It is given that

The value of test statis is given by

The test is right tailed test abnd number of degrees of freedom is 10-1=9

The P-value is

As P-value is 0.076>0.05

So we fail to reject the null hypothesis

There is no evidence to support the claim that the mean net contents exceed 12 oz .