# Confidence Interval Estimates for Means

Not what you're looking for?

A simple random sample of 25 has been collected from a normally distributed population for which it is known that ? = 17.0. The sample mean has been calculated as 342.0, and the sample standard deviation is s = 14.9. Construct and interpret the 95% and 99% confidence intervals for the population mean.

NOTE: Please use an Excel spreadsheet for response. Please do not just

provide the answer but show in complete detail how you arrived at the

answer, step-by-step, from the beginning to the end of the solution.

(9.16)

##### Purchase this Solution

##### Solution Summary

The solution provides step by step method for the calculation of confidence interval for population mean. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

##### Solution Preview

Please see the attachments.

Answers

95% confidence interval

Since the population standard deviation is known, we can use the normal distribution for the construction of CI.

The confidence interval is given by

Given that = 342.0, σ = 17.0, n = 25, = 1.96

Hence the required confidence interval is given by,

= (335.336, 348.664)

Details

Confidence Interval Estimate for ...

##### 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.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### 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.