Question

It takes an average of 10.2 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 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.5 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.72 minutes. What can be concluded at the ? = 0.05 level of significance? a. For this study, we should use a t-test. b. The null and alternative hypotheses would be: H0: ? = 10.2 H1: ? > 10.2 c. The test statistic t is 1.246. Enter it here (please show your answer to 3 decimal places). d. The P-value is 0.1093587679. Enter it here (Please show your answer to 4 decimal places). e. The P-value is > ?. f. Based on this, we should fail to reject the null hypothesis. g. Thus, the final conclusion is that: The data suggest the population mean is not significantly greater than 10.2 at ? = 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 greater than 10.2.

          It takes an average of 10.2 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 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.5 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.72 minutes. What can be concluded at the ? = 0.05 level of significance?

a. For this study, we should use a t-test.

b. The null and alternative hypotheses would be:

H0: ? = 10.2

H1: ? > 10.2

c. The test statistic t is 1.246. Enter it here (please show your answer to 3 decimal places).

d. The P-value is 0.1093587679. Enter it here (Please show your answer to 4 decimal places).

e. The P-value is > ?.

f. Based on this, we should fail to reject the null hypothesis.

g. Thus, the final conclusion is that:

The data suggest the population mean is not significantly greater than 10.2 at ? = 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 greater than 10.2.

It takes an average of 10.2 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 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.5 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.72 minutes. What can be concluded at the ? = 0.05 level of significance?

a. For this study, we should use a t-test.

b. The null and alternative hypotheses would be:

H0: ? = 10.2

H1: ? > 10.2

c. The test statistic t is 1.246. Enter it here (please show your answer to 3 decimal places).

d. The P-value is 0.1093587679. Enter it here (Please show your answer to 4 decimal places).

e. The P-value is > ?.

f. Based on this, we should fail to reject the null hypothesis.

g. Thus, the final conclusion is that:

The data suggest the population mean is not significantly greater than 10.2 at ? = 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 greater than 10.2.

Added by Tina D.

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