he management at Massachusetts Savings Bank is always concerned about the quality of service provided to its customers. With the old computer system, a teller at this bank could serve, on average, 22 customers per hour. The management noticed that with this service rate, the waiting time for customers was too long. Recently the management of the bank installed a new computer system, expecting that it would increase the service rate and consequently make the customers happier by reducing the waiting time. To check if the new computer system is more efficient than the old system, the management of the bank took a random sample of 70 hours and found that during these hours the mean number of customers served by tellers was 27 per hour with a standard deviation of 2.5. Testing at the 1% significance level, would you conclude that the new computer system is more efficient than the old computer system?
The management at Massachusetts Savings Bank is always concerned about the quality of
service provided to its customers. With the old computer system, a teller at this bank could serve,
on average, 22 customers per hour. The management noticed that with this service rate, the
waiting time for customers was too long. Recently the management of the bank installed a new
computer system, expecting that it would increase the service rate and consequently make the
customers happier by reducing the waiting time. To check if the new computer system is more
efficient than the old system, the management of the bank took a random sample of 70 hours and
found that during these hours the mean number of customers served by tellers was 27 per hour
with a standard deviation of 2.5. Testing at the 1% significance level, would you conclude that
the new computer system is more efficient than the old computer system?
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