Question 1

Which of the following best describes the main purpose of statistics as discussed in the course materials?

Accepted Answer

To collect, organize, analyze, and interpret data in order to draw general conclusions about a population from a sample.

Question 2

A researcher wants to estimate the average salary of all business graduates from a university. She surveys 100 randomly selected graduates. In this scenario, what is the population?

Accepted Answer

All business graduates from the university.

Question 3

Which of the following is an example of a parameter?

Accepted Answer

The true average lifetime of all batteries produced by a factory in one month.

Question 4

Which formula would you use to calculate the sample mean $$\bar{x}$$ for a set of $$n$$ observations $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

$$\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i$$

Question 5

Which of the following best describes inferential statistics?

Accepted Answer

Using sample data to make generalizations or predictions about a population.

Question 6

A company wants to know the proportion of defective chips produced in a day. They test 100 chips and find 5 defective ones. What is the statistic in this scenario?

Accepted Answer

The proportion of defective chips in the sample, $$\hat{p} = \frac{5}{100} = 0.05$$

Question 7

Which of the following is NOT a characteristic of descriptive statistics?

Accepted Answer

Making predictions about a population based on sample data.

Question 8

Which of the following is an example of qualitative data?

Accepted Answer

Political party affiliation (Democrat, Republican, Independent) of CEOs.

Question 9

A census is best described as:

Accepted Answer

An attempt to collect information from the entire population.

Question 10

Which of the following is a quantitative variable?

Accepted Answer

The DDT concentration (parts per million) in fish.

Question 11

Which of the following is NOT one of the five elements of inferential statistical problems?

Accepted Answer

Tables, graphs, or numerical summary tools.

Question 12

Suppose you want to estimate the average GMAT score of all MBA applicants nationwide. You collect scores from 150 applicants. Which of the following best describes the parameter?

Accepted Answer

The true average GMAT score of all MBA applicants nationwide.

Question 13

Which of the following best describes a statistic?

Accepted Answer

A number calculated from sample data used to estimate a population parameter.

Question 14

Which of the following is a reason why a census is often not practical?

Accepted Answer

It is time consuming and not practical for large populations.

Question 15

A study measures the length (in centimeters), species, and DDT concentration of fish in a river. Which variable is qualitative?

Accepted Answer

Species of fish.

Question 16

Which of the following best describes the difference between a population and a sample?

Accepted Answer

A population is the entire group of interest, while a sample is a subset of the population used to gather information.

Question 17

Which of the following is a multi-step process that best illustrates inferential statistics in a business context?

Accepted Answer

Collecting a sample of customer satisfaction ratings, calculating the sample mean, and using it to estimate the average satisfaction of all customers.

Ch 1 Study Guide

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