Question

MALE :Student # Gender Height Shoe Age Hand

1 M 67 10 19 R

2 M 74 12 17 R

3 M 72 11.5 19 R

4 M 69 10 35 R

5 M 66 9 18 R

6 M 71 10.5 17 R

7 M 72 10.5 17 R

8 M 66 10 20 R

9 M 67 10 18 R

10 M 71 10.5 24 R

11 M 66 10 21 R

12 M 71 10.5 18 R

13 M 69 10 22 R

14 M 66 9.5 18 L

15 M 76 14 18 R

16 M 69 11 22 R

17 M 68 9 19 R

18 M 70 12 30 R

19 M 67 10 24 R

20 M 70 11 21 R

21 M 70 10 52 R

22 M 63 9 27 R

23 M 69 11 22 R

24 M 72 10 22 R

25 M 76 11.5 20 L

26 M 75 11 17 R

27 M 72 11 50 L

28 M 69 11 20 R

29 M 70 12 20 R

30 M 69 11.5 23 R

31 M 70 11 18 R

32 M 67 10 21 R

33 M 68 11 44 R

34 M 76 13 48 R

35 M 62 8 23 L

36 M 69 9 19 R

37 M 72 10 60 R

38 M 73 11.5 41 R

39 M 70 9.5 39 R

40 M 78 15 24 R

41 M 65 8.5 23 R

42 M 68 9.5 20 R

FEMALE: Student # Gender Height Shoe Age Hand

1 F 68 8.5 20 R

2 F 60 5.5 27 R

3 F 64 7 31 R

4 F 67 7.5 19 R

5 F 65 8 20 R

6 F 66 9 29 R

7 F 62 9.5 30 L

8 F 63 8.5 18 R

9 F 60 5 19 L

10 F 63 7.5 42 R

11 F 61 7 20 R

12 F 64 7.5 17 R

13 F 65 8 19 R

14 F 68 8 19 R

15 F 63 7.5 18 R

16 F 62 7.5 19 R

17 F 64 7 23 R

18 F 72 11 28 R

19 F 62 8 20 R

20 F 59 6.5 29 R

21 F 64 8.5 19 R

22 F 68 9.5 23 R

23 F 65 9.5 34 R

24 F 63 8 27 R

25 F 65 8 23 R

26 F 62 7.5 30 R

27 F 67 7.5 31 L

28 F 66 9 37 R

29 F 61 6 24 R

30 F 61 6.5 46 R

31 F 68 8 20 R

32 F 63 7.5 42 R

33 F 63 5.5 33 R

34 F 63 9 35 R

35 F 65 8 44 R

36 F 69 9 28 R

37 F 68 9 20 R

38 F 63 7 49 R

39 F 62 6.5 19 R

40 F 66 7.5 19 R

41 F 69 7.5 55 R

42 F 69 11 40 R

43 F 63 6.5 19 R

44 F 61 7.5 20 R

45 F 68 9 19 R

Round 4 decimal places or give answers in scientific notation if necessary.

1. It is believed to be true that 15% of the U.S. population is left-handed. You randomly select 8 people. Let x represent the number of left-handers.

a. Construct a binomial distribution. (4 decimal places or give answers in scientific notation if necessary.)

b. Find the probability that exactly 6 people are left-handed.

c. Find the probability that less than 3 people are left-handed.

d. Find the probability that at least 1 person is left-handed.

e. Find the mean of the binomial distribution.

f. Find the standard deviation of the binomial distribution.

2. Complete the following sentence:

a. In our SCC class data, we surveyed a TOTAL (males and females) of _____ (n) students and found that _____ (x) were left-handed.

b. Assuming that 15% of the population is left-handed, find the probability of surveying n students and getting exactly x “lefties” (Use the numeric values for n and x from our SCC class data.)

c. In chapter 3, we noted that an event that occurs with a probability of 0.05 or less is considered unusual. Is the number of “lefties” (x) in our data unusual? (State yes or no)

d. Assuming that 15% of the population is left-handed and we surveyed a total of (n) students, calculate the mean.

e. Using the mean from part d, should we have expected more or less “lefties” in our SCC class data?

Answer #1

1. It is believed to be true that 15% of the U.S. population is left-handed. You randomly select 8 people. Let x represent the number of left-handers.

a. Construct a binomial distribution. (4 decimal places or give answers in scientific notation if necessary.)

Here X has binomial distribution with parameters n=8 and p=0.15. The pdf is

b. Find the probability that exactly 6 people are left-handed.

c. Find the probability that less than 3 people are left-handed.

d. Find the probability that at least 1 person is left-handed.

e. Find the mean of the binomial distribution.

The mean is

f. Find the standard deviation of the binomial distribution.

Student # Gender Height Shoe Age Hand
1 F 68 8.5 20 R
2 F 60 5.5 27 R
3 F 64 7 31 R
4 F 67 7.5 19 R
5 F 65 8 20 R
6 F 66 9 29 R
7 F 62 9.5 30 L
8 F 63 8.5 18 R
9 F 60 5 19 L
10 F 63 7.5 42 R
11 F 61 7 20 R
12 F 64 7.5 17 R
13...

3. (a) Use the sample to make a point estimate of the mean
height of the entire female/male SCC student body.
(b) Construct a 93% confidence interval for the mean height of
the entire female/male SCC student body.
(c) What is the width of this interval?
(d) Write a sentence interpreting your confidence interval.
male Student # Gender Height Shoe Age Hand
1 M 67 10 19 R
2 M 74 12 17 R
3 M 72 11.5 19 R...

Using the class sample data, analyze the student heights by
completing the following. Please note the following directions.
The data below was collected from a group of 45 female students
last semester. You will use this data throughout the semester on
your lab assignments.
Student # Gender Height Shoe Age Hand
1 F 68 8.5 20 R
2 F 60 5.5 27 R
3 F 64 7 31 R
4 F 67 7.5 19 R
5 F 65 8 20...

Use the classroom dataset. A researcher wants to be able to use
shoe size to predict height.
Shoe size= 6, 9, 7.5, 9.5, 8, 10.5, 8, 8, 7.5, 7.5, 9, 9, 8.5,
11.5, 8.5, 9, 7, 5, 8, 8, 8.5, 6.5, 6
Height(in)= 62, 67, 62, 69, 63, 67, 66, 63, 68, 64, 63, 66, 65,
72, 64, 65, 66, 61, 67, 64, 65, 60, 64
A) what variable is the response variable and which is the
predictor variable?
B)...

StudentNO
Gender
Height in inchese
1
Female
63
2
Female
64.0
3
Male
67.0
4
Female
59
5
Male
60
6
Female
61
7
Female
62
8
Female
63
9
Female
63
10
Female
64
11
Male
64
12
Female
65
13
Female
65
14
Female
65
15
Female
65
16
Female
66
17
Female
66
18
Male
67
19
Male
67
20
Male
67
21
Female
67
22
Male
67
23
Male
67
24
Female
67.5
25
Male
68...

Shoe Sizes:
10, 10.5, 11, 11, 7.5, 6.5, 8.5, 9, 10.5, 8, 8, 6, 7.5, 9, 6.5,
7, 6, 10.5, 7.5, 8, 9, 6.5, 8, 7, 12, 6.5, 9.5, 7, 8, 7
Height in inches:
61, 70, 69, 68, 72, 68, 63, 64, 65, 65, 67, 68, 62, 61, 62, 67,
63, 64, 68, 70, 62, 61, 64, 65, 66, 75, 64, 66,, 63, 66, 6
Based on our sample data, is there any linear correlation
between our heights and...

Data Set
Height
Weight
Age
Shoe Size
Waist Size
Pocket Change
64
180
39
7
36
18
66
140
31
9
30
125
69
130
31
9
25
151
63
125
36
7
25
11
68
155
24
8
31
151
62
129
42
6
32
214
63
173
30
8
34
138
60
102
26
6
25
67
66
180
33
8
30
285
66
130
31
9
30
50
63
125
32
8
26
32
68
145
33...

Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...

Perform a Spearman Rank Correlation Coefficient Test at a
significance of 0.05. Use the following data points
Height (in.)
Foot Length (in.)
63
10
66
12
62.5
9.4
74
10.5
70
11.3
72
11.3
71
12.5
64
9.1
72
10.9
71
10
74
12.1
67
10
69
11.1
65
9.6
62.8
9
72
11.3
68.8
10.5
69
10
65.3
9
53
7
71
10.3
74
11.7
70
10
72
10.6
72.5
12.8
67
9.5
69
10.9
74
11.6
68
9...

Compute each of the following probabilities. Label each problem
clearly and show all your work. Use the numbers you computed in
earlier parts of the project based on the class data set.
Problem 1: Suppose all of the Skittles in the class data set
are combined into one large bowl and you are going to randomly
select one Skittle.
(a) What is the probability that you select a green Skittle? (4
points)
(b) What is the probability that you select...

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