In: Statistics and Probability
A chocolate company markets a 500g box of chocolates to large
retail stores for Valentine’s Day. This year, they project the mean
order quantity will be greater than last year. Last year, the mean
order quantity was 500 boxes per large retail store. This year, a
random sample of 4 large retail stores gave a sample mean order
quantity of 490 boxes. Assume a population standard deviation of 50
boxes, and that the mean order quantity follows a Normal
distribution.
Conduct a hypothesis test using the critical value method to
determine whether this year’s population mean order quantity is
more than 10% lower than last year’s. HINT: What
is meant by “more than 10% lower”? For example, it might be
10.8885% lower, or 14.68% lower, etc. What does that mean in terms
of “number of boxes”? You have to figure that out to answer this
question.