To make a profit from a restaurant that specializes in low-cost quarter-pound ha

Question

To make a profit from a restaurant that specializes in low-cost quarter-pound hamburgers, it is necessary that each hamburger served weigh very close to 0.25 pound. Accordingly, the manager of the restaurant is interested in the variability among the weights of the hamburgers served each day. On a particular day there are, 450 hamburgers served. It would take too much time to weigh all 450, so the manager decides instead to weigh just 15. The following weights in pounds were obtained: 0.25 0.27 0.25 0.26 0.35 0.27 0.22 0.32 0.38 0.29 0.22 0.28 0.27 0.40 0.31

For each of the following, identify the sample and population scores:

Explanation / Answer

Central Limit Theorem states that for all distributions a sample of the population is always normally distributed and has the same average as the mean.
Therefore,
Sample Average = Population
= (0.25+0.27+ 0.25+ 0.26+ 0.35+ 0.27+ 0.22+ 0.32+ 0.38+ 0.29+ 0.22+ 0.28+ 0.27+ 0.40+ 0.31)/15
= 0.2893

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