It takes an average of 12.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 14.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.48 minutes. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use [t-test for a population mean b. The null and alternative hypotheses would be: Но: 12.8 H1: P V 12.8 c. The test statistic =| 2.072 v (please show your answer to 3 decimal places.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
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It takes an average of 12.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the
average will change if the patient is immediately told the truth about the injury. The EMT randomly
selected 51 injured patients to immediately tell the truth about the injury and noticed that they averaged
14.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.48 minutes.
What can be concluded at the the a = 0.01 level
significance?
a. For this study, we should use [t-test for a population mean
b. The null and alternative hypotheses would be:
Но:
12.8
H1 :
12.8
c. The test statistic
V =| 2.072
(please show your answer to 3 decimal places.)
d. The p-value =
| (Please show your answer to 4 decimal places.)
e. The p-value is [?
f. Based on this, we should Select an answer
g. Thus, the final conclusion is that ...
a
the null hypothesis.
O The data suggest the populaton mean is significantly different from 12.8 at a = 0.01, so there
is statistically significant evidence to conclude that the population mean time for blood to
begin clotting after an injury if the patient is told the truth immediately is different from 12.8.
O The data suggest the population mean is not significantly different from 12.8 at a = 0.01, so
there is statistically significant evidence to conclude that the population mean time for blood
to begin clotting after an injury if the patient is told the truth immediately is equal to 12.8.
O The data suggest that the population mean is not significantly different from 12.8 at a = 0.01,
so there is statistically insignificant evidence to conclude that the population mean time for
blood to begin clotting after an injury if the patient is told the truth immediately is different
from 12.8.
Transcribed Image Text:It takes an average of 12.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 14.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.48 minutes. What can be concluded at the the a = 0.01 level significance? a. For this study, we should use [t-test for a population mean b. The null and alternative hypotheses would be: Но: 12.8 H1 : 12.8 c. The test statistic V =| 2.072 (please show your answer to 3 decimal places.) d. The p-value = | (Please show your answer to 4 decimal places.) e. The p-value is [? f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... a the null hypothesis. O The data suggest the populaton mean is significantly different from 12.8 at a = 0.01, so there is statistically significant evidence to conclude that the population mean time for blood to begin clotting after an injury if the patient is told the truth immediately is different from 12.8. O The data suggest the population mean is not significantly different from 12.8 at a = 0.01, so there is statistically significant evidence to conclude that the population mean time for blood to begin clotting after an injury if the patient is told the truth immediately is equal to 12.8. O The data suggest that the population mean is not significantly different from 12.8 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean time for blood to begin clotting after an injury if the patient is told the truth immediately is different from 12.8.
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