Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 8 8 35 10 29 14 40 27 11 15 27 37 Rich: 47 31 38 19 19 46 46 34 49 25 19 13 28 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: H₁: Select an answer ✓ Select an answer ✓ Select an answer ✓ Select an answer ✓ b. The test statistic ? ✓ = Select an answer (please enter a decimal) Select an answer (Please enter a decimal) (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should Select an answer the null hypothesis. (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking poor
and rich people how many minutes they spend in the shower are shown below.
Poor 8 8 35 10 29 14 40 27 11 15 27 37
Rich: 47 31 38 19 19 46 46 34 49 25 19 13 28
Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance
level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho:
H₁:
Select an answer ✓
Select an answer
Select an answer ✓
Select an answer ✓
b. The test statistic ? | =
c. The p-value
d. The p-value is ? ✓ a
e. Based on this, we should
f. Thus, the final conclusion is that ...
Select an answer ✓ (please enter a decimal)
Select an answer ✓ (Please enter a decimal)
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Select an answer the null hypothesis.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the mean time in the shower for the twelve poor people that were surveyed is not the
same as the mean time in the shower for the thirteen rich people that were surveyed.
O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to
conclude that the population mean time in the shower for the poor is not the same as the
population mean time in the shower for the rich.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population mean time in the shower for the poor is not the same as the population
mean time in the shower for the rich.
The results are statistically insignificant at a = 0.01, so there is statistically significant
evidence to conclude that the population mean time in the shower for the poor is equal to the
population mean time in the shower for the rich.
Transcribed Image Text:Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 8 8 35 10 29 14 40 27 11 15 27 37 Rich: 47 31 38 19 19 46 46 34 49 25 19 13 28 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: H₁: Select an answer ✓ Select an answer Select an answer ✓ Select an answer ✓ b. The test statistic ? | = c. The p-value d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... Select an answer ✓ (please enter a decimal) Select an answer ✓ (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean time in the shower for the twelve poor people that were surveyed is not the same as the mean time in the shower for the thirteen rich people that were surveyed. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is not the same as the population mean time in the shower for the rich. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is not the same as the population mean time in the shower for the rich. The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich.
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