2. Use the first 30 data values in Table 1. Test, at the 5 percent level of significance, the hypothesis that men's and women's mean (a) Cholesterol (b) Blood pressure are equal. Table 1 Student Weight Cholesterol Pressure Gender Student Weight Cholesterol Pressure Gender 147 213 174 127 116 30 31 129 194 114 M 156 M 184 104 3 112 127 193 110 110 32 156 156 191 118 M 4 196 220 F 33 221 107 F 144 130 34 104 212 111 140 183 90 M 35 217 221 156 M 119 194 112 102 36 132 100 204 204 117 130 200 37 121 161 192 121 M 38 171 191 106 M 10 146 200 126 39 135 249 183 227 110 137 11 190 200 125 M 40 M 12 126 199 133 41 185 188 119 M 13 164 176 178 130 M 42 194 200 100 M 14 183 136 43 165 197 123 M 15 131 188 112 113 112 129 44 121 208 100 16 107 193 45 124 218 102 17 116 187 46 194 119 18 157 186 181 M 47 110 212 207 219 201 208 119 F 19 193 137 48 136 00 20 189 205 113 49 221 149 M 21 147 196 113 M 50 151 100 22 112 211 110 51 182 130 M 23 200 202 97 M 52 151 192 107 M 24 136 213 103 F 53 182 192 191 196 136 M 25 168 216 96 149 162 64 124 132 M 26 200 102 166 206 195 107 M 55 27 102 56 168 193 92 M 28 191 111 57 185 185 123
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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