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