# Question: pepsi is experimenting with a new machine that fills their...

###### Question details

Pepsi is experimenting with a new machine that fills their cans with product three times faster than the previous method they were using. However, they are worried that the increase in speed might be because the machine is less accurate. You want to test if the machine is not filling the cans to the specified 12 ounces. You sample 400 cans filled by the new machine and find they fill the cans with an average of 11.88 ounces with a standard deviation of 0.82 ounces.

Calculate the appropriate test statistic needed to test your
claim. **Round your final answer to 4 decimals.**
*Hint: Make sure you are using the correct formula based on the
information given in the problem.*

Find and enter the correct critical value needed to test your
claim at the 5% significance level. **Round your final answer
to 4 decimals.** *Hint: Things you will need to know:
alpha, df, is this one or two-tailed test, and which table to
use!*