In the following situation, suppose random variable is normally distributed and use normal distribution or a t-distribution to create 90% confidence interval for population mean. If convenient, use technology to create the confidence interval.
(a) In the random sample of 10 adults from nearby county, mean waste generated per person per day was 4.35 pounds and standard deviation was 1.88 pounds.
(b) Repeat part (a), suppose same statistics came from a sample size of 500. Distinguish the results.
(a) For sample of 10 adults, the 90% confidence interval is ( ), ( ).
(b) Now suppose the sample came from sample size of 500. Distinguish the results.