Question

A can of soda is labeled as containing 15 fluid ounces. The quality control manager wants to verify that the filling machine is not over dash filling the cans. Complete parts​ (a) through​ (d) below. ​(a) Determine the null and alternative hypotheses that would be used to determine if the filling machine is calibrated correctly. Upper H 0​: mu equals 15 Upper H 1​: mu greater than 15 ​(Type integers or decimals. Do not​ round.) ​(b) The quality control manager obtains a sample of 78 cans and measures the contents. The sample evidence leads the manager to reject the null hypothesis. Write a conclusion for this hypothesis test.

Answer 1

Answer: Manager has evidence that the filling machine is over dash filling the cans.

Step-by-step explanation:

Let $\mu$ be the average amount of fluid per can.

Given claim : A can of soda is labeled as containing 15 fluid ounces.

i.e. $\mu=15$

The quality control manager wants to verify that the filling machine is not over dash filling the cans.

i.e.  $\mu>15$

Since null hypothesis always contains equals sign.

So, the set of hypothesis for the given situation will be :-

$H_0:\mu=15\\\\H_a:\mu>15$

Also, the quality control manager obtains a sample of 78 cans and measures the contents.

The sample evidence leads the manager to reject the null hypothesis.

That means he has evidence that the filling machine is over dash filling the cans.