2.
Given that 224 hours of work need to be done to complete a project.
{i) How long will it take 4 men, each working an 8-hour day to complete the project?
(ii) If each of them is paid $7-50 per hour, how much will it cost to employ them altogether
(iii) How many hours of overtime must they put in per day if the project is to be completed in 4 days?
(iv) Given that the overtime rate of payment is 1- times as much as the regular hourly rate, find the cost
of the project now.

3. If 8 horses can finish eating the grass of a field in 12 days, in how many days will 6 horses finish eating it?

4. 10 cooks working for 8 hours each, can prepare a meal for 536 people. How many cooks will be needed to prepare a meal for 737 people if they are required to prepare the meal in 5 hours?

5. 100 people have food for 20 days at the rate 2kg per person per day. If 20 people left, how long will the food last of they eat

(a) 2kg per person daily?

(b) 1.8 kg per person daily?

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?