The promoter of a touring dance show wishes to analyse how the price per ticket affects the size of its audiences. She tests two prices, K40 and K50, over 11 shows each which give rise to the following attendances. Price K40 21 22 28 27 20 23 26 32 25 21 30 K50 19 18 38 33 24 39 22 20 28 26 30 (a) Enter the data into your calculator, and calculate the mean and standard deviation of the attendance for each sample. (4) (b) Perform a statistical test to determine whether the variances of the attendance are equal under the two prices. (6) (c) Perform a t-test to determine whether the mean attendance is the same under the two prices. (7) (d) Calculate a 95% confidence interval for the difference between the mean show revenue under each price. (5) (e) Without doing any further calculations, comment on which price the promoter should choose.