# Sample size for estimating a population mean

Not what you're looking for?

An estimate is needed of the mean acreage of farms in Manitoba, Canada. The estimate should be correct to within 100 acres with probability 0.95. A preliminary study suggests that 500 acres is a reasonable guess for the standard deviation of farm size.

How large a sample of farms is required and given that random sample size found, The sample has a standard deviation of 300 acres, rather than 500. What is the margin of error for a 95% confidence interval for the mean acreage of farms?

##### Purchase this Solution

##### Solution Summary

This solution shows how to determine the sample size necessary to construct a confidence interval for a population mean when the margin of error must be within a given amount and the interval must have a given level of confidence.

##### Solution Preview

An estimate is needed of the mean acreage of farms in Manitoba, Canada. The estimate should be correct to within 100 acres with probability 0.95. A preliminary study suggests that 500 acres is a reasonable guess for the standard deviation of farm size.

How large a sample of farms is required and given that random sample size found.The sample has a standard deviation of 300 acres, rather than 500. What is the margin of error for a 95% confidence interval for the mean acreage of farms?

In this problem, we want to use the sample mean, to estimate the ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.