Question

Which of the following types of data are likely to be normally distributed?

Check all that apply.
A. The outcomes of rolling a single fair die
B. The time it takes for an airliner to fly from Los Angeles to New York
C. The heights of all high school students in the United States
D. The time it takes for a kernel of popcorn to pop
E. The distance of an archer's shots from the center of a target

Answer 1

@jim_thompson5910

Answer 2

Check out this page

http://openstudy.com/study#/updates/520d5a3fe4b00ebc7dbe5238

it eliminates 2 answer choices

Answer 3

@tkhunny

Answer 4

Did you check out the page?

Answer 5

yeah it eliminates one

Answer 6

A. The outcomes of rolling a single fair die
B. The time it takes for an airliner to fly from Los Angeles to New York
C. The heights of all high school students in the United States
D. The time it takes for a kernel of popcorn to pop
E. The distance of an archer's shots from the center of a target

First, is it continuous or sufficiently numerous that we can consider it continuous?

B. The time it takes for an airliner to fly from Los Angeles to New York
C. The heights of all high school students in the United States
D. The time it takes for a kernel of popcorn to pop
E. The distance of an archer's shots from the center of a target

Second, is it symmetrical?

B. The time it takes for an airliner to fly from Los Angeles to New York
C. The heights of all high school students in the United States
D. The time it takes for a kernel of popcorn to pop

Now what?

Answer 7

normally dist?

Answer 8

It's a thought question - for thinking about the definition. What do you think?

Answer 9

Not sure

Answer 10

Well, then go read the definition again and get sure! You need to know this for your exam.

Is it centrally heaped?
Is it symmetrical?
Is it truncated abruptly?
Does it fit some other model?

Example: Family Income in the United States of America.

Is that distributed Normally? Let's just say for the sake of saying, that the mean income is $35,000. Unfortunately, there are lots of incomes less than that, but they can't get any less than zero. So, on one side, the income can't get very far away. How about the other side? Higher incomes can be in the millions, or maybe billions. That's WAY farther away than the minimum of $0 on the low side. This is absolutely NOT symmetrical. Absolutely NOT Normal.

Just think through each example. See if it makes sense. There isn't a blood test for it. You have to think about it - process it in your mind. What do you think?!

Answer 11

B, D, E?

Answer 12

@sweetsunray

Answer 13

tkhunny asked you some very good questions...

Take E: when someone shoots arrows, would the arrows line up continuously? Yes or no?

Answer 14

Or would there be gaps between the arrows shot?

Answer 15

That's the idea. Just give it some thought. The Arrows is no good. Distance is only positive. Definitely NOT symmetrical. It might be normal in a two-dimensional sense, but just measuring the distance is no good.