Utz Pretzels produces hard pretzels and packages them in 16-ounce bags. However, the size of each pretzel makes it challenging to fill each bag to precisely 16 ounces. When the filling process is working normally, the standard deviation of the bag weights equals 0.25 ounces. To test if this standard deviation is being achieved, the following random sample of pretzel-bag weights was recorded.

These data can also be found in the Excel file Utz pretzel weights.xlsx. 15.9 15.7 16.4 16.3 15.8 16.0 15.9 16.1 16.2 16.2 16.2 16.4 16.0 16.3 16.3 16.6 16.3 15.8 15.7 16.0 16.5 15.7 15.9 15.7 16.1

a. Using a = 0.05, determine if the filling process is performing normally.

b. Verify your results using PHStat.

c. Interpret the p-value obtained from the software.

AppendixLO1