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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No. 2 (25%)
The Academia Survey 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?
d. Is there a difference in average waiting time between the bank and the hospital at a
significance level of 5%?
e. If the number of samples extended to 100 sample and variance of population is known,
what will be the differences in formula for interval estimation?
Transcribed Image Text:No. 2 (25%) The Academia Survey 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? d. Is there a difference in average waiting time between the bank and the hospital at a significance level of 5%? e. If the number of samples extended to 100 sample and variance of population is known, what will be the differences in formula for interval estimation?
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