Populations Parameters Sample Statistics

Is the following a parameter or a statistic?

The average annual salary for 35 of a company's 1200 accountants is $68,000.

• parameter

• statistic

Is the following a parameter or a statistic?

In a recent survey of 1503 adults in the United States, 33% said they use both a landline and a cell phone.

• parameter

• statistic

A school principal wants to see which subject the 845 students in the school liked best.

Which choice best represents the parameter of interest?

• 700 of the 845 students prefer math.

• 100 of the 120 students surveyed prefer math.

• 845 students

• 120 students surveyed

Before a nationwide election, a polling company is trying to predict who will win. Which choice is the best representation of a statistic they may obtain?

• A selection of voters over age 50.

• All voters.

• The percentage of voters in favor of the candidate.

• 53% of a selection of voters support the candidate.

At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

•  78% is a population and 72% is a sample.

• 72% is a population and 78% is a sample

• 78% is a parameter and 72% is a statistic

• 72% is a parameter and 78% is a statistic

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

Tags

(SR.DSR.4.3

Define the symbol

• sample mean

• population mean

• sample proportion

• population proportion

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

• Sample standard deviation

• Population standard deviation

• Sample mean

• Population mean

Imagine a researcher is interested in estimating the average height of plants in a large botanical garden. To achieve this, they decide to take samples from different sections of the garden. What is the primary reason for using the sampling distribution of the sample mean in this scenario?

• To directly measure the height of every plant in the garden

• To estimate the average height of plants in the entire garden from the sample means

• To prove that the sampled plants are taller than the rest

• To show that sampling is unnecessary in large populations