Statistics_for_Business_and_Economics- Homework Set 3 re-issued Solution

HOMEWORK SET # 3 re-issued Due Date: Sept 24, 2020 Name ____________________________ RUID ____________________ SOLUTIONS. 1.- Consider the following two sample data sets. Sample A Sample B 121 171 158 171 152 170 173 184 163 168 169 171 157 85 145 190 183 185 165 172 196 140 173 206 170 159 172 172 174 169 161 187 100 199 151 180 142 166 171 167 170 188 a. Construct a box plot for each data set. Column 1 is Sample A. Column 2 is Sample B. Boxplots show Minimum, 1st Quartile, Median, 3rd Quartile, and Maximum values Boxplots show Outliers, 1st Quartile and 3rd Quartile. b. Identify any outliers that may exist in the two data sets. For Sample A the possible outliers are: 85, 100, 121, and 196. Sorted Sample A data: 85 10 121 142 145 157 158 159 161 163 165 166 170 171 171 172 172 173 184 187 196 For Sample B the possible outliers are: 140 and 206. Sorted Sample B data: 140 151 152 167 168 169 169 170 170 171 171 172 173 174 180 183 185 188 190 199 206 Hint for Sample A: Sample Size, n: 21 Mean: 158 Median: 165 Variance, s^2: 734.8 Standard Deviation, s: 27.10719 Range: 111 Minimum: 85 1st Quartile: 157 2nd Quartile: 165 3rd Quartile: 172 Maximum: 196 Sum: 3318 Sum of Squares: 538940 Hint for Sample B: Sample Size, n: 21 Mean: 173.7143 Median: 171 Variance, s^2: 234.8143 Standard Deviation, s: 15.32365 Range: 66 Minimum: 140 1st Quartile: 169 2nd Quartile: 171 3rd Quartile: 183 Maximum: 206 Sum: 3648 Sum of Squares: 638406 2.- Refer to the Electrical Engineering (Vol. 95, 2013) study of transformer voltage sags and swells, Exercise 2.76 (p. 86). The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power quality are “sags” and “swells.” A sag is an unusual dip and a swell is an unusual increase in the voltage level of a transformer. For a sample of 103 transformers built for heavy industry, the mean number of sags per week was 353 and the mean number of swells per week was