A bath soap manufacturing process is designed to produce a mean of 120 bars of soap per batch. Quantities over or under are undesirable. A sample of 10 batches shows the following number of bars of soap. The population is assumed to be normal.
108, 118, 120, 122, 119, 113, 124, 122, 120, 123
Using a .05 level of significance, test whether the sample results indicate that the manufacturing process is functioning properly.