With the rise of technology and a society more recently geared to working/learning from home, child psychologists are concerned about the amount of screen time the average child has per day. A study of children at one elementary school revealed the following times, in minutes, children spent looking at a screen in a single day. 375 235 189 102 340 214 363 329 259 179 348 168 345 283 152 297 313 371 337 357 207 279 186 154 177 225 234 148 347 298 356 124 190 174 210 237 214 313 330 362 185 217 288 167 259 323 181 165 242 239 174 138 215 126 100 354 320 349 203 263 126 143 249 163 162 360 113 161 322 131 285 100 301 207 252 151 125 302 227 149 171 136 343 113 349 347 104 359 302 103 251 *Express final answers for this question to 5 significant digits. a) Calculate the mean and standard deviation for this sample. (2 marks) b) The psychologists wish to use this data to construct a 90% confidence interval for the average amount of screen time a child has per day. Determine the margin of error for this interval. (2 marks) c) Based on part b, what are the limits of this confidence interval? (2 marks)