# Statistical inferences

help make Statistical inferences kindly find attached parts conclusions and z scores
math_185_elem_stats___hw__3__1_.xlsx

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1) (9 points) Below are the heights of children and their parents.
Gender
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
Mother’s Father’s
Height
Height
66
58
68
64
62
66
63
65
64
64
62
62
67
63
66
65
71
63
64
60
65
67
59
60
58
72
63
67
62
63
64
63
64
60
65
70
69
71
68
66
74
73
69
67
68
72
72
68
71
67
71
75
64
67
72
72
72
67
71
66
75
69
70
69
66
76
69
68
66
68
Offspring’s
Height
62,5
64,6
73,9
67,1
64,4
71,1
71
69,3
64,9
68,1
66,5
66,5
70,3
67,5
68,5
71,9
67,8
58,6
65,3
61
65,4
67,4
60,9
63,1
60
71,1
62,2
67,2
63,4
62,2
64,7
59,6
61
64
65,4
a) Calculate the mean and median
of the mother’s height.
mean
63,85714 median
b) Calculate the mean and median
of the father’s height.
mean
69,65714 median
c) Calculate the mean and median
of the offspring’s height.
mean
65,66857 median
64
69
65,4
2) (9 points) Below are the heights of children and their parents.
Gender
M
M
M
F
F
Mother’s Father’s
Height
Height
66
64
69
67
69
64
62
66
65
62
Offspring’s
Height
69,1
67,4
67,5
64,7
68,4
a) Calculate the mean and median of the mother’s height.
mean
67 median
67
b) Calculate the mean and median of the father’s height.
mean
63,8 median
64
c) Calculate the mean and median of the offspring’s height..
mean
67,42 median
67,5
3) (4 points) Based on your calculations what can you conclude about the data sets?
4) (15 points) Below are the high temperatures of January 2016.
47
48
54
38
34
40
43
45
50
62
41
47
32
53
50
53
38
24
28
31
34
29
29
35
42
52
48
40
43
42
57
a) Construct a grouped frequency distribution for the data set using 7 classes.
Calculate the relative frequencies of each interval.
min
24
max
62
range
38
no. of classes
7
class width 5,42857143
class width
6
lower limit upper limit lower boundery
upper boundary
class mark frequency
24
29
23,5
28,5
26,5
4
30
35
29,5
34,5
32,5
5
36
41
35,5
40,5
38,5
5
42
47
41,5
46,5
44,5
7
48
53
47,5
52,5
50,5
7
54
59
53,5
58,5
56,5
2
60
65
59,5
64,5
62,5
1
31
b) Find the mean of the data set.
42,22581
c) Find the standard deviation of the data set.
9,429421
d) Find the coefficient of variation of the data set.
0,223309
e) Find the z-score of the highest temperature. Find the z-score of the lowest temperature.
Are any of these temps within usual parameters?
5) (15 points) Below are the high temperatures of January 2017.
56
25
49
52
47
46
29
46
50
39
46
41
53
49
56
57
57
60
61
37
72
53
61
35
65
49
45
27
43
50
49
a) Construct a grouped frequency distribution for the data set using 7 classes.
Calculate the relative frequencies of each interval.
min
25
max
72
range
47
no. of classes
7
class width 6,71428571
class width
7
lower limit upper limit lower boundery
upper boundary
class mark frequency
25
31
24,5
31,5
28
3
32
38
31,5
38,5
35
2
39
45
38,5
45,5
42
4
46
52
45,5
52,5
49
11
53
59
52,5
59,5
56
6
60
66
59,5
66,5
63
4
67
73
66,5
73,5
70
1
31
b) Find the mean of the data set.
48,54839
c) Find the standard deviation of the data set.
10,80691
d) Find the coefficient of variation of the data set.
0,222601
e) Find the z-scores of the highest temperature. Find the z-score of the lowest temperature.
Are any of these temps within usual parameters?
6) (4 points) Compare your analysis of each data set. Which in your estimation
has been the warmer January? Which data set is more variable?
What factors do you believe have caused this warming trend?
7) (15 points) Below are the high temperatures of February 2016.
61
53
57
58
44
44
46
46
40
39
30
31
28
26
31
53
49
40
42
65
57
53
45
65
60
40
47
65
65
a) Construct a grouped frequency distribution for the data set using 7 classes.
Calculate the relative frequencies of each interval.
min
26
max
65
range
39
no. of classes
7
class width 5,57142857
class width
6
lower limit upper limit lower boundery
upper boundary
class mark frequency
26
31
25,5
31,5
28,5
5
32
37
31,5
37,5
34,5
0
38
43
37,5
43,5
40,5
5
44
49
43,5
49,5
46,5
7
50
55
49,5
55,5
52,5
3
56
61
55,5
61,5
58,5
5
62
67
61,5
67,5
64,5
4
29
b) Find the mean of the data set.
47,58621
c) Find the standard deviation of the data set.
11,87289
d) Find the coefficient of variation of the data set.
0,249503
e) Find the z-scores of the highest temperature. Find the z-score of the lowest temperature.
Are any of these temps within usual parameters?
8) (15 points) Below are the high temperatures of February 2017.
51
50
40
41
54
61
73
74
53
39
53
55
47
46
55
42
51
68
71
68
58
63
75
82
71
52
59
67
a) Construct a grouped frequency distribution for the data set using 7 classes.
Calculate the relative frequencies of each interval.
min
39
max
82
range
43
no. of classes
7
class width 6,14285714
class width
7
lower limit upper limit lower boundery
upper boundary
class mark frequency
39
45
38,5
45,5
42
4
46
52
45,5
52,5
49
6
53
59
52,5
59,5
56
7
60
66
59,5
66,5
63
2
67
73
66,5
73,5
70
6
74
80
73,5
80,5
77
2
81
87
80,5
87,5
84
1
28
b) Find the mean of the data set.
57,82143
c) Find the standard deviation of the data set.
11,82607
d) Find the coefficient of variation of the data set.
0,204527
e) Find the z-scores of the highest temperature. Find the z-score of the lowest temperature.
Are any of these temps within usual parameters?
9) (4 points) Compare your analysis of each data set. Which in your estimation
has been the warmer February? Which data set is more variable?
What factors do you believe have caused this warming trend?
10) (10 points) Median Household Income By State
State
Alabama
Arizona
Arkansas
California
Connecticut
Delaware
District of Columbia
Florida
Georgia
Hawaii
Idaho
Illinois
Indiana
Iowa
Kansas
Kentucky
Louisiana
Maine
Maryland
Massachusetts
Michigan
Minnesota
Mississippi
Missouri
Montana
New Hampshire
New Jersey
New Mexico
New York
North Carolina
North Dakota
Ohio
Oklahoma
Oregon
Pennsylvania
Puerto Rico
Rhode Island
South Carolina
South Dakota
Tennessee
Income
43.623
72.515
50.255
41.371
61.818
60.629
70.331
60.509
70.848
47.507
49.620
69.515
47.583
57.574
49.255
53.183
52.205
43.740
45.047
49.331
74.551
68.563
49.576
61.492
39.665
48.173
47.169
52.997
51.847
66.779
72.093
44.963
59.269
46.868
57.181
49.429
46.879
51.243
53.599
19.350
56.852
45.483
50.957
45.219
a) Construct a grouped frequency distribution using
eight classes.
min
19.350
max
74.551
range
55.201
no. of classes
8
class width 6900,125
class width
6901
lower limit upper limitlower boundery
upper boundary
class mark
19.350
26250 19.349,5 26250,5
22800
26.251
33151 26.250,5 33151,5
29701
33.152
40052 33.151,5 40052,5
36602
40.053
46953 40.052,5 46953,5
43503
46.954
53854 46.953,5 53854,5
50404
53.855
60755 53.854,5 60755,5
57305
60.756
67656 60.755,5 67656,5
64206
67.657
74557 67.656,5 74557,5
71107
Texas
Utah
Vermont
Virginia
Washington
West Virginia
Wisconsin
Wyoming
53.207
60.727
55.176
65.015
61.062
41.751
53.357
58.840
b) Construct a histogram. Does the data resemble
a normal distribution?
No, because it does not follow the bell shaped curve of a normal distribution.
Household Income By State
40%
frequency relative frequency
1
2%
0
0%
1
2%
10
19%
19
37%
9
17%
5
10%
7
13%
52
100%
35%
37%
30%
25%
20%
19%
17%
15%
13%
10%
10%
5%
2%
0%
2%
22800
29701
36602
0%
43503
50404
57305
64206
71107
13%
71107

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