Fly Off the Sample
Confi-DANCE
Probable Probabilities
Improbable Probabilities
Potpourri
100

USA Today's website places an opinion poll next to many of its news stories. One of the questions in January of 2021 was "Do you plan to diet this year? More than 30,000 people responded, with 68% saying "Yes."

Is this an example of an observation study or an experiment?

Observational Study

100

According to IUSB's website, 28% of IUSB undergraduates identify themselves as Hispanic. However, when I sampled twenty people outside the Education Arts building, only 10% of them identified as Hispanic. 

In this case, which number would be considered to be a parameter?

The 28%

100

All probabilities have to be between what two numbers?

0 and 1

100

Fill in the blank:

Outcome Vs Probability

0 -> 0.22

1 -> 0.18

2 -> ???

3 -> 0.09

4 -> 0.1

5 -> 0.01

0.40

100

Name the speaker of the house who was ousted after the budget vote in October 2023

Kevin McCarthy

200

USA Today's website places an opinion poll next to many of its news stories. One of the questions in January of 2021 was "Do you plan to diet this year? More than 30,000 people responded, with 68% saying "Yes."

Identify the sample.

The "more than 30,000" responders to the poll

200

According to IUSB's website, 28% of IUSB undergraduates identify themselves as Hispanic. However, when I sampled twenty people outside the Education Arts building, only 10% of them identified as Hispanic. 

In this case, which number would be considered to be a statistic?

The 10%

200

Write out the probability model for flipping a coin three times in terms of how many heads.

Outcome Vs Probability

0H -> 1/8

1H -> 3/8

2H -> 3/8

3H -> 1/8

200

When rolling a six sided die, find the probability of getting an even number or a three

4/6 or 0.67

200

Which of the following strikes are still ongoing?

Writer's Strike 2023

Actor's Strike 2023

Actor's Strike

300

USA Today's website places an opinion poll next to many of its news stories. One of the questions in January of 2021 was "Do you plan to diet this year? More than 30,000 people responded, with 68% saying "Yes."

What sampling method was used in the given study?

Sample of Convenience OR Voluntary Response

300

In a study to determine whether Ritalin increases the GPA of students with ADHD, 38 students with ADHD are randomly assigned to receive Ritalin every day while 31 students with ADHD are randomly assigned a placebo every day. Their GPAs were compared after 1 full year.

Why was a placebo used in this experiment?

Whenever a person receives any sort of medication, that person usually feels better. This is called the placebo effect. In order to reduce this effect on our results, we give patients a placebo.

300

How many outfits can one make from 5 different shoes, 3 different shirts, and 11 different pants?

165

300

Discuss a scenario where someone is using one of the logical fallacies about probability that we discussed in class.

Answers Vary

300

As of 10/18/2023, what is the most viewed YouTube Video of all time with over 13 billion views?

Baby Shark

400

USA Today's website places an opinion poll next to many of its news stories. One of the questions in January of 2021 was "Do you plan to diet this year? More than 30,000 people responded, with 68% saying "Yes."

Does the sampling method used in this study tend to be biased or unbiased? Explain

Yes, the sampling method used in this study does tend to be biased. Usually, these online polls are only completed by those who feel strongly about the subject.

400

Why is random assignment needed when choosing the participants of the control group and the treatment group in an experiment?

Random assignment allows the two different groups to look about the same. If you allow the people to choose their groups, one group may have different proportions of certain characteristics. This allows us to "get rid of" confounding variables.

400

What's the probability of getting a 5 digit ID number without a multiple of 3 in the ID if repeats are allowed?

16.807%

400

Outcome Vs Probability

0 -> 0.14

1 -> 0.23

2 -> 0.1

3 -> 0.11

4 -> 0.16

5 -> 0.26

Let Event A = {Getting a 3 or 4}

Find P(AC)

0.73

400

What is America's longest currently running sitcom?

The Simpsons

500

USA Today's website places an opinion poll next to many of its news stories. One of the questions in January of 2021 was "Do you plan to diet this year? More than 30,000 people responded, with 68% saying "Yes."

Suppose that all respondents to this poll were Americans. Can we conclude that the proportion of all Americans who planned to diet in 2021 is close to 68% Why or why not?

No, we cannot conclude that. There are many factors that are creating a bias in this sample. First, the sampling method tends to create a bias. Second, the question itself is biased. Many people would feel obligated to say that they were going to diet during the month of January.

500

A November 2017 Gallup poll of 1004 randomly selected adults found that 572 or 57% are satisfied with the total cost they pay for their health care.

What does this sample tell us about the corresponding parameter? (Give me the 95% confidence statement)

We are 95% confident that between 54% and 60% of all adults are satisfied with the total cost they pay for their health care.

500

In the dark gambling under society of ISUB, C. Shark created a game. The person playing has to bet a dollar per each game. C. Shark then uses a deck consisting of only the jack, queen, king, and ace of every suit. The player then guesses the card C. Shark pulls randomly from the deck. If the player guesses correctly, the player wins 5 dollars. If the player doesn't guess the correct face but the correct suit, the player wins a dollar. In all other situations, the player just looses his or her dollar. Should you play the game? (Is the mean value positive?)

No. The expected value of each play is -0.25. (5)(1/16) + (1)(3/16) + (-1)(12/16)

500

Suppose I am starting the M111 Super Fan Club. Whenever a student joins, he/she gets a five digit ID number. This ID number cannot have the same digit appear twice.

Let A={Getting an ID starting with an 8}

Let B={Getting an ID without a 0}

Let C={Getting an ID number with all odd digits}

Are any pair of these events disjoint? Why or why not?

Events A and C are disjoint. (starting with 8 and all odd has not elements in common)

500

As of 10/18/2023, How many Pokemon exist in the Nintendo franchise of the same name?

(+/- 50)

1,015 Pokemon

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