Purchase Solution

Sampling Exercises

Not what you're looking for?

Ask Custom Question

The commuter train running between Orange County and downtown L.A. has an average speed of 60 mph with a standard deviation of 4.4 mph. As a consultant to the Dept. of Transportation in California, you examined 40 trains and recorded their average speeds.

1) What are the theoretical parameters for the sampling distribution based on these 40 trains? Assume you are dealing with an infinite population of trains.

2) What is the probability that the average speed of this sample of 40 trains will be less than 65 mph?

Purchase this Solution

Solution Summary

This solution is comprised of a detailed explanation of sampling exercises and the application of the normal distribution.

Solution Preview

1.
By central limit theorem, since the sample size 40 is large, the sample mean (i.e., the average speed of 40 trains), denoted as X, is approximately distributed as ...

Purchase this Solution


Free BrainMass Quizzes
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.

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.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.