o men take less time than women to get out of bed in the morning? The 43 men observed averaged 4.8 inutes to get out of bed after the alarm rang. Their standard deviation was 2.4. The 46 women observed veraged 5 minutes and their standard deviation was 2.6 minutes. What can be concluded at the c = 0.10 vel of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁: Select an answer c. The test statistic ? d. The n-value= Select an answer Select an answer Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

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Do men take less time than women to get out of bed in the morning? The 43 men observed averaged 4.8
minutes to get out of bed after the alarm rang. Their standard deviation was 2.4. The 46 women observed
averaged 5 minutes and their standard deviation was 2.6 minutes. What can be concluded at the a= 0.10
level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: Select an answer
H₁: Select an answer
Select an answer
Select an answer
Select an answer
Select an answer ✓
(please enter a decimal)
(Please enter a decimal)
c. The test statistic ? ✓ =
d. The p-value =
e. The p-value is ? ✔ a
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
O The results are statistically insignificant at a = 0.10, so there is statistically significant
evidence to conclude that the population mean time for men to get out of bed in the morning
is equal to the population mean time for women to get out of bed in the morning.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the population mean time for men to get out of bed in the morning is less than the
population mean time for women to get out of bed in the morning.
O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to
conclude that the population mean time for men to get out f bed in the morning is less than
the population mean time for women to get out of bed in the morning.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the mean time to get out of bed in the morning for the 43 men that were observed is less
than the mean time for the 46 women that were observed.
h. Interpret the p-value in the context of the study.
O If the population mean time for men to get out of bed in the morning is the same as the
population mean time for women to get out of bed in the morning and if another 43 men and
46 women are observed then there would be a 35.34% chance that the mean time to get out of
bed for the 43 men would be at least 0.2 minutes less than the mean time to get out of bed for
the 46 women.
O If the sample mean time to get out of bed for the 46 men is the same as the sample mean time
to get out of bed for the 46 women and if another 43 men and 46 women are observed then
there would be a 35.34% chance of concluding that the mean time to get out of bed for the 43
men is at least 0.2 minutes less than the mean time to get out of bed for the 46 women
O There is a 35.34% chance of a Type I error.
O There is a 35.34% chance that the mean time to get out of bed for the 43 men is at least 0.2
minutes less than the mean time to get out of bed for the 46 women.
i. Interpret the level of significance in the context of the study.
If the population mean time for men to get out of bed in the morning is the same as the
population mean time for women to get out of bed in the morning and if another 43 men and
46 women are observed then there would be a 10% chance that we would end up falsely
concluding that the population mean time for men to get out of bed in the morning is less than
the population mean time for women to get out of bed in the morning
O There is a 10% chance you will take so long to get out of bed in the morning that you will miss
the deadline to complete this assignment.
O If the population mean time for men to get out of bed in the morning is the same as the
population mean time for women to get out of bed in the morning and if another 43 men and
46 women are observed then there would be a 10% chance that we would end up falsely
concluding that the sample mean time for these 43 men and 46 women to get out of bed in the
morning differ from each other.
O There is a 10% chance that there is a difference in the population mean time for men and
women to get out of bed in the morning.
Transcribed Image Text:Do men take less time than women to get out of bed in the morning? The 43 men observed averaged 4.8 minutes to get out of bed after the alarm rang. Their standard deviation was 2.4. The 46 women observed averaged 5 minutes and their standard deviation was 2.6 minutes. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁: Select an answer Select an answer Select an answer Select an answer Select an answer ✓ (please enter a decimal) (Please enter a decimal) c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? ✔ a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean time for men to get out of bed in the morning is equal to the population mean time for women to get out of bed in the morning. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean time for men to get out of bed in the morning is less than the population mean time for women to get out of bed in the morning. O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean time for men to get out f bed in the morning is less than the population mean time for women to get out of bed in the morning. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean time to get out of bed in the morning for the 43 men that were observed is less than the mean time for the 46 women that were observed. h. Interpret the p-value in the context of the study. O If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 43 men and 46 women are observed then there would be a 35.34% chance that the mean time to get out of bed for the 43 men would be at least 0.2 minutes less than the mean time to get out of bed for the 46 women. O If the sample mean time to get out of bed for the 46 men is the same as the sample mean time to get out of bed for the 46 women and if another 43 men and 46 women are observed then there would be a 35.34% chance of concluding that the mean time to get out of bed for the 43 men is at least 0.2 minutes less than the mean time to get out of bed for the 46 women O There is a 35.34% chance of a Type I error. O There is a 35.34% chance that the mean time to get out of bed for the 43 men is at least 0.2 minutes less than the mean time to get out of bed for the 46 women. i. Interpret the level of significance in the context of the study. If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 43 men and 46 women are observed then there would be a 10% chance that we would end up falsely concluding that the population mean time for men to get out of bed in the morning is less than the population mean time for women to get out of bed in the morning O There is a 10% chance you will take so long to get out of bed in the morning that you will miss the deadline to complete this assignment. O If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 43 men and 46 women are observed then there would be a 10% chance that we would end up falsely concluding that the sample mean time for these 43 men and 46 women to get out of bed in the morning differ from each other. O There is a 10% chance that there is a difference in the population mean time for men and women to get out of bed in the morning.
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