MATH 1342 STATISTICS

DATA COLLECTION PROJECT

(100 Points)

1.

Collect 30+ numerical data values and list them all. Example, select one

baseball player from each team and record their salary.

10 points

.

2.

Describe

step by step

how you collected your data

in

Step 1

an

d

name the

type of sampling

used (systematic

-

stratified

-

cluster

-

random)

10 points

.

3.

Using your data, calculate the mean, median, mode,

range and standard

deviation of the data set.

10 points

.

4.

Construct a box plot with your data and label the five number su

mmary on

your graph (min

-

Q1

-

mode

-

Q3

-

max). Include outliers if any. List the shape

of your distribution (symmetric

-

skewed left

-

s

kewed right)

10 points

.

5.

Calculate a 95% confidence interval for the mean.

10 points.

6.

A

sk 30

+

different people

a Yes/No question and make sure you get a

mixture of males and females though not necessarily 50/50. It's ok to get a

convenience sample here and could be from social media as well.

List the

30+ responses along with their gender

in a table.

10 points

.

7.

Calculate

a 99% confidence interval for the proportion.

10 points

.

8.

Use n = your sample size in step 6, p = 0.5, and x = number of yes's in your

sample, calculate the binomial probabilities of "exactly" your x amount and

"at least" your x amount.

10 points

.

9.

Ma

ke a table with two rows (Yes/No) and two columns (Male/Female) and

fill in the table using your data from step 6. Then run a Chi

-

Square Test of

Independence to see if there is a difference in the proportion of yes's

between males and females using a 5% l

evel of significance.

10 points

.

10.

Make a five minute video showing all of your results of the first nine steps

and any

conclusions

you discovered from performing this project for both

the nume

rical data and the yes/no data. Was anything surprising in the

results/calculations?