Question

It takes an average of 10.5 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 43 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.9 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.65 minutes. What can be concluded at the the αα = 0.10 level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion

The null and alternative hypotheses would be:

H0:H0:  ? p μ  Select an answer = < ≠ >       

H1:H1:  ? μ p  Select an answer ≠ < > =    

The test statistic ? t z  =  (please show your answer to 3 decimal places.)

The p-value =  (Please show your answer to 4 decimal places.)

The p-value is ? ≤ >  αα

Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.

Thus, the final conclusion is that ...

The data suggest that the population mean is not significantly greater than 10.5 at αα = 0.10, 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 10.5.

The data suggest the populaton mean is significantly greater than 10.5 at αα = 0.10, 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 10.5.

The data suggest the population mean is not significantly greater than 10.5 at αα = 0.10, 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 10.5.

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 10.5
Alternative Hypothesis, Ha: μ > 10.5

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (10.9 - 10.5)/(3.65/sqrt(43))
t = 0.719

P-value Approach
P-value = 0.2381

The data suggest that the population mean is not significantly greater than 10.5 at αα = 0.10, 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 10.5.