It takes an average of 10.9 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 63 injured patients to immediately tell the truth about the injury and noticed that they averaged 11.3 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.39 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: Ho: " H₁: PV> 10.9 10.9 c. The test statistic tv = 2.284 d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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#25 answer letter d-g
O Question 25
It takes an average of 10.9 minutes for blood to begin clotting after an injury. An EMT wants to see if the
average will increase if the patient is immediately told the truth about the injury. The EMT randomly
selected 63 injured patients to immediately tell the truth about the injury and noticed that they averaged
11.3 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.39 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:
Ho: HV =
H₁: >
10.9
= 2.284
10.9
c. The test statistic t
d. The p-value =
e. The p-value is ? ✓ a
f. Based on this, we should
g. Thus, the final conclusion is that ...
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Select an answer the null hypothesis.
The data suggest the population mean is not significantly greater than 10.9 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 10.9.
The data suggest the populaton mean is significantly greater than 10.9 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 greater than 10.9.
O The data suggest that the population mean is not significantly greater than 10.9 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 greater
than 10.9.
Transcribed Image Text:O Question 25 It takes an average of 10.9 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 63 injured patients to immediately tell the truth about the injury and noticed that they averaged 11.3 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.39 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: Ho: HV = H₁: > 10.9 = 2.284 10.9 c. The test statistic t d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. The data suggest the population mean is not significantly greater than 10.9 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 10.9. The data suggest the populaton mean is significantly greater than 10.9 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 greater than 10.9. O The data suggest that the population mean is not significantly greater than 10.9 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 greater than 10.9.
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