A retailer wants to see if a amount of revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved Sale" sign brings in the same 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: 1.5, 3.8, 3.4, 2.2, 4.5, 3.1, 3.7, 2.2, 3.9, 2.5 Blue: 3, 4.5, 3.4, 3.9, 3.5, 3.7, 4.8, 3.9, 4.1, 6.3 Assume that both populations follow a normal distribution. What can be concluded at the o - 0 10 level of significance level of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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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: 1.5,
3.8,
3.4,
2.2,
4.5,
3.1,
3.7,
2.2,
3.9,
2.5
Blue: 3,
4.5,
3.4,
3.9,
3.5,
3.7,
4.8,
3.9,
4.1,
6.3
Assume that both populations follow a normal distribution. What
can be concluded at the a = 0.10 level of significance level of
significance?
For this study, we should use (t-test for the difference between two independent population means
a. The null and alternative hypotheses would be:
Ho:
u2
H1:
μι
u2
b. The test statistic
(please show your answer to 2
%3D
decimal places.)
c. The p-value
places.)
d. The p-value is
(Please show your answer to 4 decimal
e. Based on this, we should (reject
v the null hypothesis.
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: 1.5, 3.8, 3.4, 2.2, 4.5, 3.1, 3.7, 2.2, 3.9, 2.5 Blue: 3, 4.5, 3.4, 3.9, 3.5, 3.7, 4.8, 3.9, 4.1, 6.3 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.10 level of significance level of significance? For this study, we should use (t-test for the difference between two independent population means a. The null and alternative hypotheses would be: Ho: u2 H1: μι u2 b. The test statistic (please show your answer to 2 %3D decimal places.) c. The p-value places.) d. The p-value is (Please show your answer to 4 decimal e. Based on this, we should (reject v the null hypothesis.
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