One Mean

1. A certain brand of apple juice is supposed to have 64 ounces of juice. The target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount varies from bottle to bottle. The quality control manager wishes to verify that the mean amount in each bottle is 64.05 ounces so that she can be sure that the machine is not over-filling or under-filling. She randomly samples 12 bottles of juice and measures the content and obtains the following data:

64.03, 63.97, 63.95, 64.06, 64, 64.05, 64.08, 64.03, 63.94, 64.01, 64.06, 64.01

Should the assembly line be shut down so that the machine can be recalibrated?

Use =0.01 level of significance.

State the null and alternative hypothesis

Give the p-value

Give a conclusion for the hypothesis

Find a 99% confidence Interval

What is a conclusion for the confidence Interval