A retailer wants to see if a red "Sale" sign brings in the same amount of revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved fc various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 3.5, 3.6, 2.8, 1.6, 3.6, 3, 2.2, 3.2 Blue: 2.9, 3.2, 2.6, 2.8, 3.8, 3.6, 3, 4.9

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A retailer wants to see if a red "Sale" sign brings in the same amount of revenue than the same
"Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for
various days when the retailer decided to put the red "Sale" sign up and days when the retailer
decided to put the blue "Sale" sign up.
Red: 3.5, 3.6, 2.8,
1.6, 3.6, 3, 2.2, 3.2
Blue: 2.9, 3.2, 2.6, 2.8, 3.8, 3.6,
3,
4.9
Transcribed Image Text:A retailer wants to see if a red "Sale" sign brings in the same amount of revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 3.5, 3.6, 2.8, 1.6, 3.6, 3, 2.2, 3.2 Blue: 2.9, 3.2, 2.6, 2.8, 3.8, 3.6, 3, 4.9
Observed thên there
uis aip
would be a 27.86% chance that the mean revenue for the 8 days with a red "Sale"
sign would differ by at least 0.4 thousand dollars from the mean revenue for the 8
days with a blue "Sale" sign.
O There is a 27.86% chance of a Type I error.
h. Interpret the level of significance in the context of the study.
O There is a 10% chance that there is a difference in the population mean revenue
on days with a red "Sale" sign and on days with a blue "Sale" sign.
O If the population mean revenue on days with a red "Sale" sign is the same as the
population mean revenue on days with a blue "Sale" sign and if another 8 days
with a red "Sale" sign and 8 days with a blue "Sale" sign are observed then there
would be a 10% chance that we would end up falsely concluding that the
population mean revenue for the days with a red "Sale" sign is not the same as the
population mean revenue on days with a blue "Sale" sign
O If the population mean revenue on days with a red "Sale" sign is the same as the
population mean revenue on days with a blue "Sale" sign and if another 8 days
with a red "Sale" sign and 8 days with a blue "Sale" sign are observed, then there
would be a 10% chance that we would end up falsely concluding that the sample
mean revenue for these 8 days with a red "Sale" sign and 8 days with a blue "Sale"
sign differ from each other.
O There is a 10% chance that green is your favorite color, so why woud you even
consider red or blue?
i. Calculate the 90% confidence interval for the difference in mean revenues in red vs blue
sale signs.
< Select an answer vS
Transcribed Image Text:Observed thên there uis aip would be a 27.86% chance that the mean revenue for the 8 days with a red "Sale" sign would differ by at least 0.4 thousand dollars from the mean revenue for the 8 days with a blue "Sale" sign. O There is a 27.86% chance of a Type I error. h. Interpret the level of significance in the context of the study. O There is a 10% chance that there is a difference in the population mean revenue on days with a red "Sale" sign and on days with a blue "Sale" sign. O If the population mean revenue on days with a red "Sale" sign is the same as the population mean revenue on days with a blue "Sale" sign and if another 8 days with a red "Sale" sign and 8 days with a blue "Sale" sign are observed then there would be a 10% chance that we would end up falsely concluding that the population mean revenue for the days with a red "Sale" sign is not the same as the population mean revenue on days with a blue "Sale" sign O If the population mean revenue on days with a red "Sale" sign is the same as the population mean revenue on days with a blue "Sale" sign and if another 8 days with a red "Sale" sign and 8 days with a blue "Sale" sign are observed, then there would be a 10% chance that we would end up falsely concluding that the sample mean revenue for these 8 days with a red "Sale" sign and 8 days with a blue "Sale" sign differ from each other. O There is a 10% chance that green is your favorite color, so why woud you even consider red or blue? i. Calculate the 90% confidence interval for the difference in mean revenues in red vs blue sale signs. < Select an answer vS
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