1.- The average wait time to get seated at a popular restaurant in the city on a Friday night is 14 minutes.Is the mean wait time greater for men who wear a tie? Wait times for 14 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal.

12, 12, 12, 15, 14, 16, 14, 13, 12, 13, 15, 13, 13, 13

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 or meanz-test for a population proportion________________

b.- The null and alternative hypotheses would be:

H0:?p orSelect an answer:=, <, >, _________

H1:? orpSelect an answer:>, <, , =__________

c.-The test statistic?t orz____=_____________(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?> or________

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

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

• The data suggest that the population mean wait time for men who wear a tie is notsignificantlymore than 14 at= 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.
• The data suggest the population mean is notsignificantlymore than 14 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 14.
• The data suggest the populaton mean issignificantlymore than 14 at= 0.05, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.

2.- It takes an average of 13.4 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 59 injured patients to immediately tell the truth about the injury and noticed that they averaged 13.8 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.64 minutes. What can be concluded at the the= 0.05 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:? or p____Select an answer:<,=,,>,________

H1:?p or_____Select an answer:=, >, <, __________

c.- The test statistic?t orz____=__________(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? or >_________

f.- Based on this, we shouldSelect an answer:fail to reject, reject, accept_____________the null hypothesis.

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

• The data suggest the populaton mean issignificantlydifferent from 13.4 at= 0.05, 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 13.4.
• The data suggest that the population mean is notsignificantlydifferent from 13.4 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 different from 13.4.
• The data suggest the population mean is notsignificantlydifferent from 13.4 at= 0.05, 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 13.4.

3.- Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the hospital. Do patients at rural hospitals have a different waiting time? The 11 randomly selected patients who went to the emergency room at rural hospitals waited an average of 3.6 hours to be admitted into the hospital. The standard deviation for these 11 patients was 2.5 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 meanor 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 ort_____=____________(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? or>_________

f.- Based on this, we shouldSelect an answer:accept,reject,fail to reject___________the 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 notsignificantlydifferent from 4 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 different from 4 hours.
• The data suggest the populaton mean issignificantlydifferent from 4 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 different from 4 hours.
• The data suggest the population mean is notsignificantlydifferent from 4 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 4 hours.