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 117 112 127 124 121 107 118 126 115 119 K200 108 104 98 112 108 102 96 101 107 95 Calculate a 95% confidence interval for the difference between the mean show rev- enue under each price. (4) (e) Without doing any further calculations, comment on which price the promoter should choose. (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, K150 and K200, over 10 shows each which give rise to the following attendances. Price K150 117 112 127 124 121 107 118 126 115 119 K200 108 104 98 112 108 102 96 101 107 95 Calculate a 95% confidence interval for the difference between the mean show rev- enue under each price. (4) (e) Without doing any further calculations, comment on which price the promoter should choose. (3)

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

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 117 112 127 124 121 107 118 126 115 119
K200 108 104 98 112 108 102 96 101 107 95
Calculate a 95% confidence interval for the difference between the mean show rev-
enue under each price. (4)
(e) Without doing any further calculations, comment on which price the promoter
should choose. (3)

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