a production line operates with a mean filling weight of 16 ounces per container. overfillingor underfilling presents a serious problem and when detected requires the operator to shutdown the production line to readjust the filling mechanism. from past data, a populationstandard deviation s = .8 ounces is assumed. a quality control inspector selects a sampleof 30 items every hour and at that time makes the decision of whether to shut down the linefor readjustment. the level of significance is a = .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 actionwould you recommend?c. if a sample mean of x = 15.82 ounces were found, what is the p-value? what actionwould you recommend?
a production 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 s = .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 a = .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?
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