# MATH 211 WCU Statistics and Probability Final Questions

Height (Inches) Shoe Size (Unitless)
67
8
66
9
66
8,5
65
9
62
6
65
6,5
62
6,5
70
10
68
11
65
9
66
8
67
9
65
8
67
9,5
67
8
72
11,5
62
5
62
6
66
9,5
Fall 2 2022
74
62
64
62
61
69
68
64
64
66
64
64
65
70
63
12
7
7
8
6
8,5
8
7,5
7
9,5
7,5
6,5
7
10
7
Fall 1 2022
62
64
68
64
67
64
62
63
64
67
7
8
10
7
9,5
8
7
6
7
9
Summer 2022
60
64
63
70
57
6
9
9,5
10
5
67
67
68
66
63
62
64
77
65
67
65
72
60
68
63
63
65
65
66
69
64
9,5
8
8,5
7
8,5
7
8,5
12
9
8
6,5
9,5
6
9
6,5
6
7
9
10
9,5
7,5
Spring 2 2022
59
66
70
74
66
71
64
64
62
64
66
61
49
62
65
69
62
72
6,5
8,5
10
16
7,5
11,5
5,5
9
7
6,5
9
6,5
6,5
6,5
8,5
8
7
10
Spring 1 2022
64
64
67
69
69
69
55
8,5
7,5
8
10
10
12
8
63
62
65
67
66
60
62
64
64
66
72
61
65
67
70
61
65
7,5
9
8,5
7
9,5
5
7,5
7,5
8
10
12
6,5
10,5
7
10
7,5
9
Fall 2 2021
West Coast University
Math 211
Signature Assignment
Name:
1. To study about the correlation between height and shoe size, you need to collect a sample of nine (9) people
using a Systematic Sampling method.
a. What is the population of people? Where and how are you going to collect your sample? Does your sample
accurately represent your population? Why or why not?
b. Collect the sample and record the data. Use a single unit for height. Do not use a mixed unit like feet and
inches.
Person 1
Person 2
Person 3
Person 4
Person 5
Person 6
Person 7
Person 8
Person 9
Height
Shoe Size
2. (CLO 1) Construct a confidence interval to estimate the mean height and the mean shoe size: you must complete
the following questions by first choosing a Confidence Level. You may choose from the familiar 90%, 95%, or
99% level of confidence.
Denote this by choosing α =
.
a. Find the sample mean and sample standard deviation of the height. Denote them as x̄ and sx respectively.
b. Find the sample mean and sample standard deviation of the shoe sizes. Denote them as ȳ and sy respectively.
c. Construct and interpret a confidence interval to estimate the mean height of the population. You must
first write the formula for the confidence interval and then substitute your appropriate numbers.
d. Construct and interpret a confidence interval to estimate the mean shoe size of the population. You must
first write the formula for the confidence interval and then substitute your appropriate numbers.
West Coast University
Signature Assignment – Page 2 of 2
3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches. Use the appropriate
significance level α you fixed earlier.
a. State the initial and alternative hypothesis.
b. Find the test statistic and the P-value. You must first write the formula for the test statistic and then
c. Draw a conclusion in context of the situation. Your conclusion should include both the formal language as
well as an informal explanation.
4. (CLO 3) Find a correlation between height and shoe size.
a. Create a scatterplot of the data. Height is x-axis and Shoe size is y-axis. Attach your scatterplot to the end
of this document.
b. Find the linear correlation coefficient. What does this tell you about your data?
c. Write the equation of the regression line and use it to predict the shoe size of a person that is 68 inches tall.
5. Write a paragraph or two about what you have learned from this process. When you read, see, or hear a statistic
in the future, what skills will you apply to know whether you can trust the result?

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