The promoter of a touring dance show wishes to analyse how the price per ticket affects...

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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, K170 and K200, over 10 shows each which give rise to the following attendances. Price K170 115 110 125 120 120 105 115 125 115 120 K200 105 100 95 110 105 100 95 100 105 93 (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, K170 and K200, over 10 shows each which give rise to the following attendances. Price K170 115 110 125 120 120 105 115 125 115 120 K200 105 100 95 110 105 100 95 100 105 93 (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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