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 3.57 pounds and the standard deviation was 1.95 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 ( nothing, nothing). (Round to two decimal places as needed.)
a)
b)
from above we can see that for higher sample size width of confidence interval reduces
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