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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. (hint: See chap.7-4 on estimating population mean with sigma not known.) | |||||||||||

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. |

EXPLAIN 4 STEP PROCESS OVER ALL

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

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