Question 1. The numbers 5, 8, 10, 7, 10, and 14 gather from asimple random sample of a population. Determine/Calculate the pointestimate of the population mean (or worded another way, what is thesample mean, x-bar,?). Determine/Calculate the point estimate ofthe population standard deviation (or worded another way, what isthe sample standard deviation, s,?).

Question 2. A population has a mean of 200 dollars earned a dayand a standard deviation of 50 dollars a day. Suppose a simplerandom sample was taken of 100 people (note: n > 30 so we canassume standard distribution) and we used x-bar (sample mean) toestimate mu (population mean). What is the probability that thesample mean will be within +/- 5 of the population mean? What isthe probability that the sample mean will be within +/- 10 of thepopulation mean?

Question 3. A population proportion was determined to be 0.40. Asimple random sample was taken of 200 people will be taken and thesample proportion, p-bar, will be used to estimate the populationproportion (which we already know is 0.40). What is the probabilitythat the sample proportion (p-bar) will be within +/- 0.03 of thepopulation proportion? What is the probability that the sampleproportion (p-bar) will be within +/- 0.05 of the populationproportion?