3. 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.

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3. 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.
Transcribed Image Text:3. 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.
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