Purchase Solution

Indicate in some way the intervals that fail to include the (true) mean in columns H, I, K, L, N, and O

Not what you're looking for?

Ask Custom Question

*********************************************************************
Please indicate (or find) in some way the intervals that fail to include the (true) mena in columns H, I, K, L, N, O and E and F.
************************************************************************
I have created 95% confidence interval estimates of the population mean µ from your data in columns E and F. I have used the fact that I know σ is 6.5, that the sample was from a normal population, and that you all took samples of size 10. Therefore, the interval becomes sample mean ± 1.96*6.5/3.16. (3.16 is the approximate square root of 10.) I have higlighted the one interval that did NOT cover the true (known only to me) value of µ, which is 76.06.

Here is your assignment:

In columns H and I generate 80% confidence intervals for µ, in a manner similar to the way I generated the 95% intervals. Indicate those which do not contain the true value of the mean in some way.

In columns K and L, generate 95% confidence intervals based on the t statistic. and in columns N and O, generate 80% intervals based on the t statstics. Again, indicate in some way the intervals that fail to include the (true) mean.

We have also said that the (collection of all) sample means, should have a mean itself that is the same as the population mean and a standard deviation that is equal to the population standard deviation divided by the square root of the sample size. That implies that the mean of all sample means should be about 76.06 and the standard deviation about 6.5/(square root 10). Use the statistical capabilities of Excel to find the mean and standard deviation of our sample means (all the data in column B) and compare them to these values. Are they close? Also, the shape of the distribution of the sample means should be "normal"; how would you try to assess whether that is correct or not? (You do not need to do this unless you want to attempt it.)

Purchase this Solution

Solution Summary

I have created 95% confidence interval estimates of the population mean µ from your data in columns E and F. I have used the fact that I know σ is 6.5, that the sample was from a normal population, and that you all took samples of size 10. Therefore, the interval becomes sample mean ± 1.96*6.5/3.16. (3.16 is the approximate square root of 10.) I have higlighted the one interval that did NOT cover the true (known only to me) value of µ, which is 76.06.

Purchase this Solution


Free BrainMass Quizzes
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.

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.