Question

It takes an average of 9.5 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 54 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.6 minutes for their blood to begin clotting after their injury. Their standard deviation was 2.45 minutes. What can be concluded at the the a 0.10 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: H: (please show your answer to 3 decimal places.) c. The test statistic ? d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is the null hypothesis. f. Based on this, we should Select an answer

Answer 1

Null hypothesis;HO: u= Alternative hypothesis;H1: Sample mean: X = 10.6 given n= 54 given given 2.45 Sample size: Sample standard deviation: Degrees of freedom: Level of significance : n-1= = 53 0.1 given and -= 0.05 i Standard error: = 0.3334 Test statistic: *- = 3.299 p-value: Fort= 3.299 with df= 53 the two tailed p-value is | 0.0017 Decision: Since p-value <a, reject HO

The data suggest that the population mean is not significantly different from 9.5 at a=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 different from 9.5.