It takes an average of 9.1 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 49 injured patients to immediately tell the truth about the injury and noticed that they averaged 8 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.31 minutes. What can be concluded at the the a= 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: O H₁: H 9.1 9.1 O c. The test statistic tis -2.326. Enter it here -2.326 d. The p-value is 0.0121364015. Enter it here 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 data suggest the populaton mean is significantly less than 9.1 at a = 0.05, 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 less than 9.1. O The data suggest the population mean is not significantly less than 9.1 at a = 0.05, 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 9.1. The data suggest that the population mean is not significantly less than 9.1 at a = 0.05, 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 less than 9.1.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
It takes an average of 9.1 minutes for blood to begin clotting after an injury. An EMT wants to see if the
average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected
49 injured patients to immediately tell the truth about the injury and noticed that they averaged 8 minutes
for their blood to begin clotting after their injury. Their standard deviation was 3.31 minutes. What can be
concluded at the the a = 0.05 level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Ho:
Hi: Hệ
9.1
9.1
c. The test statistic tis -2.326. Enter it here -2.326
d. The p-value is 0.0121364015. Enter it here
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 data suggest the populaton mean is significantly less than 9.1 at a = 0.05, 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 less than 9.1.
O The data suggest the population mean is not significantly less than 9.1 at a = 0.05, 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 9.1.
The data suggest that the population mean is not significantly less than 9.1 at a = 0.05, 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 less than 9.1.
Hint:
Helpful Videos: Calculations [+] Setup [+] Interpretations [+]
Help
Transcribed Image Text:It takes an average of 9.1 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 49 injured patients to immediately tell the truth about the injury and noticed that they averaged 8 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.31 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: Hi: Hệ 9.1 9.1 c. The test statistic tis -2.326. Enter it here -2.326 d. The p-value is 0.0121364015. Enter it here 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 data suggest the populaton mean is significantly less than 9.1 at a = 0.05, 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 less than 9.1. O The data suggest the population mean is not significantly less than 9.1 at a = 0.05, 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 9.1. The data suggest that the population mean is not significantly less than 9.1 at a = 0.05, 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 less than 9.1. Hint: Helpful Videos: Calculations [+] Setup [+] Interpretations [+] Help
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