To estimate the mean acreage of ranches in a certain province a researcher plans to obtain the acreage for a random sample of 64 farms. Results from an earlier study suggest that 800 acres is a reasonable guess for the standard deviation of ranch size. a. Find the probability that the sample mean acreage falls within 100 acres of the population mean acreage. b. If the researcher can increase n above 64, will the probability that the sample mean falls within 100 acres of the population mean increase or decrease? Why