Hi Team,

Please help

Question 1 ) Local development initiatives often use estimates of the daily expenditures of tourists to justify expenses incurred in supporting local events.Some years ago, the City of Kingston hosted a Tall Ships weekend, which cost the City some $850,000.To justify this expense, suppose that the City conducted a survey of 30 out-of-town visitors, asking them the grand total of what they spent during their visit to Kingston, and how many days they visited.The data are contained in the file visitor expenditures.xlsx.

a.What is a 99% confidence interval for the average daily expenditure by visitors to Kingston, based on these data?Interpret the meaning of your interval, in simple terms understandable by the Mayor.

b.The Mayor of Kingston at the time, Ms. Turner, had stated that "the average visitor to Kingston spends $75 per day in the local economy".Set up Ms. Turner's comment as a hypothesis test, and use the data to establish whether her statement can be refuted, or not.

c.Some visitors to Kingston are Canadian, and some from other parts of the world.A sample of 200 visitors on this weekend revealed that 120 were Canadian, and 80 from elsewhere.What is a 90% confidence interval for the proportion of visitors who are Canadian on a weekend such as this?

d.The Mayor had also stated that "more than 45% of the visitors to Kingston are Canadians".Set up this statement by the Mayor in a hypothesis test framework, and use the data to determine if her statement can be refuted, or not.

Question 2) Fast Computers Inc. supplies made-to-order personal computers through direct (telephone and online) sales channels. A key competitive feature of its business is the delivery time - the time lapse between receipt of an order and final delivery to the customer.By tracking thousands of previous orders, the company has found that delivery times to the large Toronto market are well-approximated by a normal distribution with a mean value of 4.5 days and standard deviation of 3.14 days.In answering the following questions, you may assume that these parameters are known exactly.

a)What is the probability that a randomly selected order will require more than six days?

b)What is the probability that a randomly selected order will require between three and six days?

c)The company is considering a $50 cash-back guarantee on any orders that have delivery times longer than a specified maximum but are not sure what maximum time to guarantee.They would be willing to pay out the guarantee on no more than 3% of their deliveries.What time limit in whole days should they set for their guarantee?

d)What is the probability that the mean time for a sample of fifteen randomly selected orders will be more than six days?