Question

A researcher wishes to estimate the average amount spent per person by visitors to a theme park. He takes a random sample of forty visitors and obtains an average of $28 per person.
a.What is the population of interest?
b.What is the parameter of interest?
c.Based on this sample, do we know the average amount spent per person byvisitors to the park? Explain fully

Answer 1

Answer: a. Number of visitors

b. average($\mu$) amount spent per person by visitors to the park

c. Yes , we know  the average amount spent per person byvisitors to the park. It is $28 per person.

Step-by-step explanation:

• A population is a group of all members according to the researchers's subject of interest.
• A parameter is a number that gives the measure of a factor generated from population (for ex Population mean ($\mu$) , population proportion (p) ).
• A sample is a finite subset of the population that represents the population in an analysis.
• A statistic is a number that gives the measure of a factor generated from sample (for ex sample mean ($\overline{x}$) ,sample proportion ($\hat{p}$) ).

For the given situation, A researcher wishes to estimate the average amount spent per person by visitors to a theme park.

Population by researcher's point of interest : "Number of visitors"

Parameter of interest : "average($\mu$) amount spent per person by visitors to the park"

Since he takes a random sample of forty visitors and obtains an average of $28 per person.

Here , sample : forty visitors

And average amount spent per person by visitors to the park from sample :  

$\overline{x}=$ $28 per person.

The sample means is the best point-estimate for the population mean.

So , the best point-estimate for average amount spent per person by visitors to the park here is $28 per person.