The China Banking Corporation (CBC) found that using automatic teller machines (ATMs) reduces the cost of routine bank transactions. The manager of CBChas requested the management to install an ATM in the corporate offices of Filinvest Land, Inc. The ATM is for the exclusive use of Filinvest's 510 employees. After a month of operations, a sample of 100 employees were asked on the frequency of use of the ATM machine.

a. Calculate the estimate of the proportion of employees who do not use the ATM in a month?

b. Provide a 95% CI for this estimate. Can CBC be certain that at least 40% of theemployees of Filinvest Land, Inc, will use the ATM?

c. Calculate the number of transactions the average Filinvest employee make during a month.

d. Construct a 95% CI interval for the average transactions during the month..

e. Can the population mean is 0? Explain or provide a solution if necessary.