Problem 4

profileglangsing
kstat_problem.xls
Home>Mathematics homework help>Problem 4

PROBLEM

Problem 4 (40 points)
Use the HWAS data for problem 4. Assume HWAS data is a Population, and use the Age column of the data set.
Take a Simple Random Sample from the Age column of n=30.
a. For this SRS of 30, find the Mean, Std.Deviation, Five-Number Summary, and identify Outliers. Make histogram, and describe distribution.
Description should be in sentence form and should include min, max, outliers, shape of histogram, number of peaks, etc.
b. Based on the SRS, calculate the best point estimate of the population mean Age ?
c. To calculate a 95% confidence level of the sample mean, determine the critical t value and the sample std.deviation. Compute the
margin of error and confidence interval.
d. How many are needed in a sample to achieve a margin of error of 3 years at 95% confidence level?
e. Using the complete Age column of the HWAS data set (the Population), make a histogram and find the mean.
Compare with SRS histogram and mean from part a. Does the Population mean Age fall within the confidence interval ?
Explain why it is possible for the sample and the population to be dissimilar.
Age Gender Height Weight Ideal weight
38 F 65.5 133 125
43 M 74 255 190
28 F 63 116 110
33 F 64 250 150
36 M 69 204 185
51 M 66 215 195
37 M 71 226 190
41 M 72 220 190
45 F 68 148 140
26 F 66 160 150
49 M 75 285 240
47 F 67 154 150
33 F 67 134 125
45 F 63 160 130
50 M 66 190 180
25 F 64 148 138
46 M 73 195 180
36 F 65 144 128
24 M 75 201 200
25 M 73 170 180
58 F 62 125 115
55 F 66 180 150
47 F 62 130 115
35 M 73 190 200
34 F 68 212 140
29 M 75 235 180
20 F 62.5 135 120
52 F 62 130 120
30 M 73 185 180
37 F 69 230 175
24 F 64 235 140
26 M 70 260 180
29 M 73.5 301 205
31 F 63 128 120
21 F 65 125 110
31 M 72 165 175
33 F 67 134 125
33 F 64 163 130
42 F 66 135 130
22 F 65 132 125
27 M 71 155 165
25 F 63 225 175
29 M 70 210 200
31 F 64 120 110
42 F 63 180 135
22 F 65 132 125
43 F 63 160 125
27 M 72 210 200
38 F 68 155 130
43 F 70 180 150
29 M 72 248 220
21 F 67 130 125
36 M 74 215 205
25 F 71 165 150
35 F 63 161 135
50 F 63 115 110
57 M 74 277 240
31 M 74 227 220
24 F 65 147 140
25 M 70 160 175
22 M 71 215 195
33 M 70 190 175
35 F 64 235 160
28 F 67 165 150
37 F 69 200 165
39 M 73 260 220
38 F 62 125 120
38 F 70 185 175
45 F 66 227 155
32 M 72 230 200
44 M 70 450 180
45 F 62 125 121
31 M 68 200 170
26 F 68 125 125
27 M 76 200 215
46 M 73 195 180
38 F 69 190 170
25 M 73 235 180
34 M 73 185 165
25 M 70 150 175
45 F 72 160 140
32 M 75 260 230
46 M 73 195 180
30 M 73 185 180
33 F 67 191 150
24 F 60 150 120
33 F 69 310 150
47 M 73 220 200
22 F 64 127 117
35 M 76 240 205
28 F 67 165 150
26 M 72 220 205
51 M 75 225 225
23 M 66 164 155
55 M 68 290 175
24 M 67 165 160
25 M 72 220 200
49 M 69 188 185
37 M 71 223 190
27 M 72 215 195
44 M 67 187 160
46 F 68 172 140
28 M 71 260 200
38 M 70 220 185
26 F 66 150 125
48 F 63 115 113
39 F 64 165 140
27 F 56 130 105
41 F 64 116 116
38 F 69 255 155
45 M 70 230 220
22 F 65 132 125
31 F 62 120 115
28 F 61 135 115
33 F 67 177 160
30 M 73 205 180
26 M 73 190 180
26 M 68 170 160
46 F 62 121 115
31 M 71 412 250
46 F 60 126 120
20 M 71 165 165
51 F 62 150 120
30 F 68 200 175
41 M 76 245 220
22 F 78 150 175
26 F 63 140 128
38 M 67 185 165
20 F 60 123 115
20 F 62 130 115
37 M 74 160 185
37 M 69 150 150
27 F 62 181.8 125
40 M 71 190 175
33 F 67 210 180
46 M 73 250 225
31 F 61 123 135
17 F 68 120 125
37 F 63 124 118
28 F 62 130 115
30 M 71 140 175
30 F 60 112 115
46 F 62 135 130
66 F 66 150 140
30 F 60 114 115
25 F 64 198 145
23 F 68 143 143
19 F 63 142 130
45 F 67 145 132
40 F 64 145 120