Question

In the following​ situation, assume the random variable is normally distributed and use a normal distribution...

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.)

Homework Answers

Answer #1

a)

b)

from above we can see that for higher sample size width of confidence interval reduces

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