Question

A restaurant that specializes in hamburgers made 200 hamburger patties the restaurant claims that the weight of these parties are approximately normally distributed with a mean of 8 ounces and a standard deviation of .54 ounces you come to the store and buy five randomly selected hamburgers in find the mean weight of your five hamburgers is only 7.6 ounces identify the population parameter the sample and a statistic in this context

Answer 1

Parameter : 8 ounces

Statistics: 7.6 ounces

Explanation:

Number of hamburger patties made by the restaurant = 200

Mean weight of these patties = 8 ounces

Standard Deviation of these patties = 0.54 ounces

I visited the store and bought 5 randomly selected hamburgers.

Mean weight of these hamburgers = 7.6 ounces

We have to identify population parameter and sample statistics for this situation.

A population is the collection of all the elements that can possibly be in a set/experiment, while sample is a small set of observations taken from this larger collection. The restaurant made 200 hamburger patties in total. Therefore, the 200 patties represent the population. I visit the store and select 5 hamburgers from 200 available hamburgers. So, 5 randomly selected hamburgers represent a sample.

Parameter:

Any value or measure that describes or represents the entire population is known as Parameter. From the data, we know that mean weight of 200 hamburger patties is 8 ounces. Since, 8 ounces represent the mean(center) of entire population, it is a parameter.

Statistics:

Any value or measure that describes or represents the sample is known as Statistics. I bought 5 hamburgers which were selected randomly, and mean weight of these hamburgers was 7.6 ounces. So, 7.6 is a statistics.