The Tokyo Marine Consultant wants to conduct a survey with the aim is to estimate banking and hospital service time. For this reason, observations are made on the waiting time data of each customer for one period which is obtained from the two business sectors. The sample data was taken randomly from 11 customers separately and independently from bank and hospital customers. The following data are the waiting times from 22 samples of customers. Waiting Time (In minutes) Banking 9.66 5.9 8.02 5.79 8.73 3.82 8.01 8.35 10.1 6.6 5.6 Hospital 4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.2 4.5 6.1 0.3 a. Calculate the average and standard deviation of waiting time at banks and hospitals. b. Assuming the population variance is the same, determine the estimated limits of the difference between the average waiting time from the survey results from the survey with a significance level of 5%? c. Do the same thing for significance level of 10%, what is your conclusion about the differences with 5% significance level?
The Tokyo Marine Consultant wants to conduct a survey with the aim is to estimate banking and hospital service time. For this reason, observations are made on the waiting time data of each customer for one period which is obtained from the two business sectors. The sample data was taken randomly from 11 customers separately and independently from bank and hospital customers. The following data are the waiting times from 22 samples of
customers.
Waiting Time (In minutes)
Banking 9.66 5.9 8.02 5.79 8.73 3.82 8.01 8.35 10.1 6.6 5.6
Hospital 4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.2 4.5 6.1 0.3
a. Calculate the average and standard deviation of waiting time at banks and hospitals.
b. Assuming the population variance is the same, determine the estimated limits of the difference between the average waiting time from the survey results from the survey with a significance level of 5%?
c. Do the same thing for significance level of 10%, what is your conclusion about the differences with 5% significance level?
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