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, K150 and K200, over 10 shows each which give rise to the following attendances. Price K150 K200 117 112 127 124 121 107 118 126 115 119 108 104 98 112 108 102 96 101 107 95 (a) Calculate the mean and standard deviation of the attendance for each sample. (b) Perform a statistical test to determine whether the variances of the attendance are equal under the two prices. (c) Perform a t-test to determine whether the mean attendance is the same under the two prices. (d) Calculate a 95% confidence interval for the difference between the mean show revenue under each price. (e) Without doing any further calculations, comment on which price the promoter should choose.
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, K150 and K200, over 10 shows each which give rise to the following attendances. Price K150 K200 117 112 127 124 121 107 118 126 115 119 108 104 98 112 108 102 96 101 107 95 (a) Calculate the mean and standard deviation of the attendance for each sample. (b) Perform a statistical test to determine whether the variances of the attendance are equal under the two prices. (c) Perform a t-test to determine whether the mean attendance is the same under the two prices. (d) Calculate a 95% confidence interval for the difference between the mean show revenue under each price. (e) Without doing any further calculations, comment on which price the promoter should choose.
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