Question

A soda company sells one of its soft drinks in 12 ounce cans. In order to ensure that every can has at least 12 ounces in it, the machines in the factory are set to fill each can with an average of 12.1 ounces of soda. Every week, a quality-control technician tests 10 cans to make sure that the average amount of soda in the cans is still 12.1 ounces. If the conclusion of the test is that the number of ounces of soda in the cans is different from 12.1, the technician will declare that the process is out of control, and the machine will be stopped and calibrated. From previous tests, the technician found that the standard deviation of the number of ounces of soda in the cans is approximately 0.01. The number of ounces of soda in the 10 cans that were tested this week is given below. Assume that the standard deviation from the technician's previous tests is the population standard deviation. Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether filling process is out of control and then draw a conclusion in the context of the problem. Use α=0.05. 12.1 12.11 12.17 12.09 12.02 12.1 12.08 12.04 12.18 12.16 Select the correct answer below:

Reject the null hypothesis. There is sufficient evidence to conclude that the filling process is out of control.

Reject the null hypothesis. There is insufficient evidence to conclude that the filling process is out of control.

Fail to reject the null hypothesis. There is sufficient evidence to conclude that the filling process is out of control.

Fail to reject the null hypothesis. There is insufficient evidence to conclude that the filling process is out of control.

Answer 1

since test statistic does not falls in rejection region we fail to reject null hypothesis

Fail to reject the null hypothesis. There is insufficient evidence to conclude that the filling process is out of control.