6. A group of 894 women aged 70 - 79 had their height and weight measured. The mean height was 159 cm with a standard deviation of 5 cm and the mean weight was 65.9 kg with a standard deviation of 12.7 kg. Both sets of data are fairly normal.

a) Sketch a normal curve to represent the heights. Determine the percentage of the population that is expected to be taller than 166 cm.

b) Sketch a normal curve to represent the weights. Determine the percentage of the population that is expected to weigh between 55 and 75 kg.

7. The following is taken from a State of the Park Report for Banff National Park. 2 Table 9: Visitor Numbers 2004 2005 2006 Total visitors 3,135,727 3,164,906 3,281,435 Total visitor days 7,453,465 7,518,997 7,784,044 Total visitors have increased by 4.6% and total visitor days by 4.4% in this period. Group tour visitors have increased slightly, from 11.6% to 12.6% of the total. These figures are not absolutes as the margin of error for total visitors is 7.5% and for total visitor days, 7.3%. Source: http://www.pc.gc.ca/eng/docs/bib-lib/docs.Shi.aspxREP_SPR_e.pdf Determine the confidence interval for the total visitors in 2006. Hint: The Margin of Error (MOE) is given as a percentage, can you use that percentage to calculate the MOE as a number?1. 02 is an Irish band that has been popular for over three decades. The lengths of 80 of their songs were selected at random and are listed in the table below. Use 50-second intervals to make a frequency distribution table for the data. Song Length(s) Frequency Lengths of Randomly Selected U2 Songs (seconds) 0 - 50 382 222 214 338 310 559 334 225 177 189 278 300 295 254 331 194 225 294 245 292 50 -100 262 219 384 336 312 281 308 285 227 258 331 418 195 338 255 225 43 331 179 230 215 252 272 228 281 274 229 178 173 319 267 280 186 341 204 253 317 303 337 308 240 252 349 347 94 144 187 272 208 279 276 264 270 286 205 350 444 294 2602. Use your frequency distribution table to draw a histogram for the data. Remember a histogram is a graph so it should include the following: 3 Labels on the axes. An appropriate and consistent scale. A name or title