Exercise 1 [1II1II points} For each of the following 3 populations, {and consider the sample mean statistic]. indicate: I what is the sampling distribution for samples of size 100 I how to construct the sampling distribution for samples of size l I what are the properties of the sampling distribution for samples of size 10D Client receipts for Longo's grocery store in Toronto for the year 2021 1. 2. Burglary and theft insurance payouts lled by businesses in Colorado in the year 2000 3. Advertising expenditures of apparel businesses in Ontario in the year 219 Exercise 2 (10 points) Consider the following population: U.S. Census data showing expenditures on maintenance and repairs (in millions of USD) performed by businesses in the year 2020 in the sate of NY with the following mean, median and standard deviation: Mean = $20,500 . Median = $23,400 Standard deviation = $8,300 Instructions: > (3 points) If you select samples of size n = 5 from the population described above, describe the shape and properties of the sampling distribution of sample means, X > (3 points) If you select samples of n = 250 from the population described above, describe the shape and properties of the sampling distribution of sample means, X (2 points) If you select a random sample of size n=100, what is the probability that the sample mean will be less than $19,000? > (2 points) Calculate and interpret the 90% confidence interval for the population mean of all NY state expenditures on maintenance and repairs. Consider sample size n = 200. Use and present answers with 4 decimals