Question

19)

**3) A test is administered annually. The test has a mean
score of 150 and a standard deviation of 20. If Ravi’s z-score is
1.50, what was his score on the test?**

A) 180

B) 130

C) 30

D) 150

E) None of the above

87**)A random sample of 40 college professors is selected
from all professors at a university. The following list contains
their ages. 65, 45, 44, 38, 55, 55, 49, 42, 43, 22, 52,
58, 52, 38, 56, 34, 53, 36, 50, 36 34, 68, 43, 56, 37,
35, 28, 30, 26, 26, 53, 30, 37, 55, 28, 39, 26, 31,
37, 50**

The percentile rank of the age 55 is?

Answer #1

19

This is a normal distribution question with

z = 1.5

The z-score at x = 180.0 is,

OPTION A

87)

Take note that there are 40 data values in this data set. It's
helpful to sort them in ascending order.

22.0, 26.0, 26.0, 26.0, 28.0, 28.0, 30.0, 30.0, 31.0, 34.0, 34.0,
35.0, 36.0, 36.0, 37.0, 37.0, 37.0, 38.0, 38.0, 39.0, 42.0, 43.0,
43.0, 44.0, 45.0, 49.0, 50.0, 50.0, 52.0, 52.0, 53.0, 53.0,
**55.0, 55.0, 55.0**, 56.0, 56.0, 58.0, 65.0, 68.0

**Percentile Rank = [(M + (0.5 * R)) / Y] x
100**

**M =**Number of Ranks below x = 32**R =**Number of Ranks equals x = 3**Y =**Total Number of Ranks = 40

**Percentile Rank = [(32 + (0.5 * 3)) / 40] x 100
Percentile Rank = (33.5/40) x 100
Percentile Rank = 83.75 or 84th rank**

6) [True or False] Standard deviation can be
negative.
A) TRUE
B) FALSE
7. A random sample of 40 college professors is selected
from all professors at a university.
The following list contains their ages.
65, 45, 44, 38, 55, 55, 49, 42, 43, 22, 52, 58, 52, 38,
56, 34, 53, 36, 50, 36
34,
68, 43, 56, 37, 35, 28, 30, 26, 26, 53, 30, 37, 55,
28, 39, 26, 31, 37, 50
Z score for 55 is?

2a. Describe the sample and population you are studying.
I am studying customers' satisfaction level with their
car insurance plan.
2b. Calculate the sample mean and sample standard deviation for
your variable. Keep at least four decimal places.
2c. Calculate the standard error and the margin of error for a 90%
confidence interval. Keep at least four decimal places.
Data:
36
18
66
43
28
39
47
40
24
46
48
57
36
58
39
62
43
65
74
36...

Dataset:
Husband Wife
53 50
38 34
46 44
30 36
31 23
26 31
29 25
48 51
65 46
29 26
28 23
29 32
25 22
22 21
21 24
43 50
24 27
38 33
33 26
35 29
40 29
27 25
27 24
49 38
48 39
27 27
26 24
40 34
35 37
21 26
32 39
30 28
60 52
36 40
25 23
66 55
52 34
41 40
43 ...

A national health survey measured the serum HDL cholesterol
levels in a large number of women. Following is a sample of 40 HDL
levels (in milligrams per deciliter) that are based on the results
of that survey. The list has been sorted into numerical order.
25
26
26
26
27
28
28
32
34
34
35
36
36
36
37
38
40
43
44
47
47
48
49
51
52
52
53
54
54
55
57
60
61
65
74...

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...

Listed are 32 ages for Academy Award winning best actors in
order from smallest to largest.
18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 38; 41;
42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77
1. Find the percentile of 37.
2. Find the percentile of 72.

Basline SF-36 Well-Being Score
Standard
65
vegetarian
71
58
62
80
58
56
62
96
28
55
13
79
74
62
79
68
44
36
15
52
82
48
44
74
30
23
80
12
55
56
63
61
92
63
35
64
9
62
28
43
35
42
65
64
48
7
48
31
57
45
43
11
22
68
75
85
28
24
43
22
46
21
49
53
42
78
46
10
21
67
40
For this...

The Thomas Supply Company Inc. is a distributor of gas-powered
generators. As with any business, the length of time customers take
to pay their invoices is important. Listed below, arranged from
smallest to largest, is the time, in days, for a sample of The
Thomas Supply Company Inc. invoices.
13
13
13
20
26
28
30
33
34
34
35
35
36
37
38
41
41
41
42
46
46
47
48
52
53
55
56
62
67
82
Determine...

The Thomas Supply Company Inc. is a distributor of gas-powered
generators. As with any business, the length of time customers take
to pay their invoices is important. Listed below, arranged from
smallest to largest, is the time, in days, for a sample of The
Thomas Supply Company Inc. invoices. 13 13 13 20 26 28 30 33 34 34
35 35 36 37 38 41 41 41 42 46 46 47 48 52 53 55 56 62 67 82
Determine...

The answers are provided. Please provide an
explanation/machanism to support the answers. Questions 1, 3, 13,
14, 19, 21, 25, 27, 30, 32, 33, 34, 37, 38, 39, 42, 43, 44, 45, 46,
47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 61, 62, 63 and 65.
(I know it's a lot, but please do as many as you are willing to.
Thank you! Here is the link to the document:
http://www.kau.edu.sa/Files/0008904/files/41686_g.pdf

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