Aproduction line operates with a mean filling weight of 16 ounces per container. overfilling
or underfilling presents a serious problem and when detected requires the operator to shut
down the production line to readjust the filling mechanism. from past data, a population
standard deviation σ= .8 ounces is assumed. a quality control inspector selects a sample
of 30 items every hour and at that time makes the decision of whether to shut down the line
for readjustment. the level of significance is α= .05.
a. state the hypothesis test for this quality control application.
b. if a sample mean of
¯x
16.32 ounces were found, what is the p-value? what action
would you recommend?
c. if a sample mean of
¯x 15.82 ounces were found, what is the p-value? what action
would you recommend?
d. use the critical value approach. what is the rejection rule for the preceding hypothesis
testing procedure? repeat parts (b) and (c). do you reach the same conclusion?