2	To assess the impact of COVID-19 on employment prospects, Dr. Kumar has conducted a survey in Khelgaon. Before COVID-19, is is known that the average number of weeks an individual in Khelgaon was unemployed was 24.4 weeks. Assume that for the population of all unemployed individuals in Khelgaon, the population mean length of unemployment was 24.4 weeks with a population standard deviation is 6.3 weeks. Today, Ramgaon has 800 unemployed people. Of this unemployed population, Dr. Kumar has sampled 60 people.
	PLEASE USE EXCEL FORMULAES:
a	Show the sampling distribution ofx , the sample mean average for a sample of 60 unemployed individuals.
b	What is the probability that a simple random sample of 60 unemployed individuals will provide a sample mean within 1 week of the population mean?
c	What is the probability that a simple random sample of 60 unemployed individuals will provide a sample mean within 1.5 weeks of the population mean?