Question

DISCUSS an example of when a survey would be useful in collecting data for a sample of people using a 95% confidence interval to infer the population parameter. Include course terminology on survey techniques. Pick an example where a census would not be possible and explain why it would not be possible. (4 Points)

Answer 1

Suppose a group of 4 students is conducting a project on determining the average height of men in a city with a male population of around 50,000.

Now, doing census in this case is not possible by only 4 students as it will be time consuming as well as tedious.

So, they randomly selected 100 men and conduct a survey only for those 100 men.

Suppose the average height of those 100 men is 175 cm and the standard deviation is 25 cm.

Here, the population parameter is the mean height of men.

So, the 95% confidence interval of the population mean height is:

[, ], where, = 175, s = 25, n = 100

= [175 - 4.96, 175 + 4.96] = [170.04, 179.96]