Table of contents

1. Intro to Stats and Collecting Data55m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically1h 45m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables2h 33m
6. Normal Distribution and Continuous Random Variables1h 38m
7. Sampling Distributions & Confidence Intervals: Mean1h 53m
8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- Sampling Distribution of Sample Proportion
  29m
- Confidence Intervals for Population Proportion
  42m
9. Hypothesis Testing for One Sample2h 19m
10. Hypothesis Testing for Two Samples3h 22m
11. Correlation1h 6m
12. Regression1h 4m
13. Chi-Square Tests & Goodness of Fit1h 20m
14. ANOVA1h 0m

5. Binomial Distribution & Discrete Random Variables

Discrete Random Variables

Statistics

5. Binomial Distribution & Discrete Random Variables

Discrete Random Variables

Previous problemNext problem

1:55 minutes

Problem 5.Q.5

Textbook Question

Is the mean found in the preceding exercise a statistic or a parameter?

Verified step by step guidance

Understand the difference between a statistic and a parameter: A statistic is a numerical value that describes a characteristic of a sample, while a parameter is a numerical value that describes a characteristic of a population.

Identify whether the mean in the preceding exercise was calculated from a sample or the entire population. If it was calculated from a sample, it is a statistic. If it was calculated from the entire population, it is a parameter.

Recall that a sample is a subset of the population, and the population includes all individuals or items of interest.

Determine the context of the preceding exercise to see if the mean was derived from a subset (sample) or the whole group (population).

Conclude whether the mean is a statistic or a parameter based on the information about whether it pertains to a sample or the population.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Statistic

A statistic is a numerical value that describes a characteristic of a sample, which is a subset of a larger population. It is calculated from data collected from that sample and is used to estimate population parameters. For example, the average score of a class on a test is a statistic, as it reflects only the students in that class.

Parameter

A parameter is a numerical value that describes a characteristic of an entire population. Unlike a statistic, which is derived from a sample, a parameter represents the true value for the whole group. For instance, the average height of all adults in a country is a parameter, as it encompasses the entire population rather than just a sample.

Mean

The mean, often referred to as the average, is a measure of central tendency calculated by summing all values in a dataset and dividing by the number of values. It can be classified as either a statistic or a parameter depending on whether it is derived from a sample (statistic) or the entire population (parameter). Understanding the context of the data is crucial to determine which classification applies.

Watch next

Master Intro to Random Variables & Probability Distributions with a bite sized video explanation from Patrick

Start learning

Related Videos

Related Practice

Textbook Question

In Exercises 5–8, assume that the Poisson distribution applies; assume that the mean number of Atlantic hurricanes in the United States is 5.5 per year, as in Example 1; and proceed to find the indicated probability.

b. In a 118-year period, how many years are expected to have no hurricanes?

Textbook Question

a. Find the probability that in a year, there will be 10 hurricanes.

Textbook Question

b. In a 118-year period, how many years are expected to have 10 hurricanes?

Textbook Question

Find the mean of the random variable x described in the preceding exercise.

Textbook Question

Poisson: Deaths Currently, an average of 7 residents of the village of Westport (population 760) die each year (based on data from the U.S. National Center for Health Statistics).

a. Find the mean number of deaths per day.

Textbook Question

Poisson: Deaths Currently, an average of 7 residents of the village of Westport (population 760) die each year (based on data from the U.S. National Center for Health Statistics).

b. Find the probability that on a given day, there are no deaths.

Textbook Question

Poisson: Deaths Currently, an average of 7 residents of the village of Westport (population 760) die each year (based on data from the U.S. National Center for Health Statistics).

c. Find the probability that on a given day, there is more than one death.

Textbook Question

In Exercises 9–16, use the Poisson distribution to find the indicated probabilities.

Births In a recent year (365 days), NYU-Langone Medical Center had 5942 births.

a. Find the mean number of births per day.

Show more practices

Download the Mobile app

Privacy

Do not sell my personal information

Accessibility

Patent notice

Sitemap