A machine is designed to put, on average, 46 ounces of flour in a bag with a sample standard deviation of 1.1 ounces. To check to be sure the machine works properly, Fabio opens ten bags (n=10) and finds that, on average, the machine is putting 45 ounces of flour in each bag. At 99% and 95%, is this a statistically significant difference?

Be sure to:

• Show the work on the calculated value;
• Indicate what the calculated value is;
• Indicate what the critical values are; and
• Determine if this sample average is statistically significant from the mean.