### Question Description

I am looking for my initial post to be done first and then I will be posting my 2 classmate response that need to be done. I will be extending time when I post the classmate posts.

DEADLINES FOR MODULE 2

*Discussion Board Posts:* Initial Post Due Thursday, 9/10, by 11:59 p.m. and reply to TWO students’ responses by Sunday, 9/13, by 11:59 p.m.

WEEK 2 DISCUSSION BOARD PROMPT

For the discussion boards, two options are given for you to choose from for your initial post. In your response posts, you are required to respond at least once to each option. This means you should have a minimum of three posts in total:

- Your initial post to either Option One or Option Two
- A response to one of your peers’ responses to Option One
- A response to one of your peers’ responses to Option Two

In your title for your discussion post, please clearly include which option you are answering by typing “Option One: [your title]” or “Option Two: [your title].”

Please watch the following video for additional help and direction with these posts:

Notes for Discussion Board 2

OPTION ONE NOTES:

- You should discuss the possibilities of non-normal distributions and/or outliers.
- You should provide embed images of your output from StatCrunch or Excel to supplement your discussion board post.
- You should view this video on how to sample in StatCrunch

OPTION TWO NOTES:

- Be sure to use specific statistic language such as P1, P2 in your posts.

USING MYSTATLAB

Additionally, I wanted to remind everyone know that it is possible to get 100% of the points on every homework this semester. MyStatLab has the options of “Similar Question” when you have completed a problem, which enables you to re-do the problem to score all the points available to you.

For example, suppose question 1 has parts A, B, and C. You correctly answer parts A and B, but incorrectly answer part C. Therefore, for your overall score for this problem, you get partial credit and not the full amount of points. If you select “Similar Question” (located on the bottom right-hand side of the screen in MyStatLab), the program gives you a problem very similar to the one you just solved and allows you to complete the problem again in order to score all the points.

For your initial post, choose one of the following two prompts to respond to. Then In your two follow up posts, respond at least once in each option. Use the discussion topic as a place to ask questions, speculate about answers, and share insights. Be sure to embed and cite your references for any supporting images.

Option 1:

Use the NOAA data set provided, to examine the variable DX32. DX32 represents the number of days in that month whose maximum temperature was less than 32 degrees F. The mean of DX32 during this time period was 3.6.

Using Excel, StatCrunch, etc., draw a histogram for DX32. Does this variable have an approximately normal (i.e. bell-shaped) distribution? A normal distribution should have most of its values clustered close to its mean. What kind of distribution does DX32 have?

Take a random sample of size 30 and calculate the mean of your sample. Did you get a number close to the real mean of 3.6? Although few individual data values are close to 3.6, why could you expect that your sample mean could be? Be sure to include the mean that you calculated for your random sample.

Imagine that you repeated this 99 more times so that you now have 100 different sample means. (You don’t have to do this … just imagine it!). If you plotted the 100 sample means on a histogram, do you think that this histogram will be approximately normal (bell-shaped)? How can you justify your answer?

Compare your results to the results for your classmates.

Option 2:

Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips one might get 6 heads and 4 tails. Now, flip the coin another 20 times (so 30 times in total) and again, record the observed number of heads and tails. Finally, flip the coin another 70 times (so 100 times in total) and record your results again.

We would expect that the distribution of heads and tails to be 50/50. How far away from 50/50 are you for each of your three samples? Reflect upon why might this happen?

In response to your peers, comment on the similarities and differences between yours and your classmate’s data analyses. In particular, compare how far away you and your classmate are from 50/50 for each of your three samples.

To complete this assignment, review the Discussion Rubric document.