1. The average wait time to get seated at a popular restaurant in the city on a Friday night is 8 minutes.Is the mean wait time less for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal.

8, 8, 6, 8, 6, 6, 7, 6, 5, 6, 8, 7, 9

What can be concluded at the the= 0.05 level of significance level of significance?

a. For this study, we should useSelect an answer z-test for a population proportion or t-test for a population mean

b. The null and alternative hypotheses would be:

H0:? p Select an answer > = < ( )

H1: ? pSelect an answer > = < ( )

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

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

e. The p-value is? >

f. Based on this, we shouldSelect an answer reject, fail to reject, acceptthe null hypothesis.

g. Thus, the final conclusion is that ...

• The data suggest the population mean is notsignificantlyless than 8 at = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 8.
• The data suggest the population mean issignificantlyless than 8 at= 0.05, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is less than 8.
• The data suggest that the population mean wait time for men who wear a tie is notsignificantlyless than 8 at = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is less than 8.

2. It takes an average of 13.7 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 41 injured patients to immediately tell the truth about the injury and noticed that they averaged 12 minutes for their blood to begin clotting after their injury. Their standard deviation was 5.47 minutes. What can be concluded at the the = 0.10 level of significance?

a. For this study, we should useSelect an answer t-test for a population mean or z-test for a population proportion

b. The null and alternative hypotheses would be:

H0: ? p Select an answer < = > ( )

H1: ? pSelect an answer = < > ( )

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

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

e. The p-value is? >

f. Based on this, we shouldSelect an answer reject, accept, fail to rejectthe null hypothesis.

g. Thus, the final conclusion is that ...

• The data suggest that the population mean is notsignificantlydifferent from 13.7 at= 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 13.7.
• The data suggest the population mean issignificantlydifferent from 13.7 at= 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 different from 13.7.
• The data suggest the population mean is notsignificantlydifferent from 13.7 at= 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 13.7.

3. Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a higher waiting time? The 11 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6.6 hours to be admitted into the hospital. The standard deviation for these 11 patients was 2.6 hours. What can be concluded at the the= 0.05 level of significance level of significance?

a. For this study, we should useSelect an answer t-test for a population mean or z-test for a population proportion

b. The null and alternative hypotheses would be:

H0:? p Select an answer < = > ( )

H1:? p Select an answer > < = ( )

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

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

e. The p-value is? >

f. Based on this, we shouldSelect an answer fail to reject, accept, rejectthe null hypothesis.

g. Thus, the final conclusion is that ...

• The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is notsignificantlyhigher than 6 hours at= 0.05, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is higher than 6 hours.
• The data suggest the population mean issignificantlyhigher than 6 at= 0.05, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is higher than 6 hours.
• The data suggest the population mean is notsignificantlyhigher than 6 at= 0.05, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 6 hours.