1. What is your estimate of the mean herd size of dairy farms in Northumberland County if a random sample of 49 farms was found to have a mean herd size of 90 cows and a standard deviation of 35 cows? Assume your estimate must carry a probability of 92%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. What is your estimate of the mean herd size of dairy farms in Northumberland County if a random sample of 49 farms was found to have a mean herd size of 90 cows and a standard deviation of 35 cows? Assume your estimate must carry a probability of 92%.

2. As a consultant, you are investigating usage of the city's public transit system. In particular, you wish to estimate the mean number of persons riding on a bus at any given time. You randomly sample 18 buses and find the mean number of passengers to be 32 with a standard deviation of 8. Assuming a confidence level of 90%, what statement could you make in your final report about the likely range of the mean number of persons on a bus?

3.  As part of an assignment for a coastal geomorphology course, you are asked to estimate the mean diameter of boulders on a Lake Superior beach. A random sample of 144 boulders is identified and each boulder is measured. It takes three weeks, and there are hundreds more. Results indicate the average diameter to be 1.65 meters with a standard deviation of 0.40 meters. Rather than measure all the boulders, you decide to prepare an interval estimate of the average diameter of all the boulders on the beach using a confidence level of 95%.

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