A personnel manager has found that, historically, the scores on aptitude tests given to applicants for entry-level positions follow a normal distribution with standard deviation 25.86 points. A random sample of 13 test scores from the current group of applicants had a mean score of 70.92 points. Based on these sample results, a statistician found for the population mean a confidence interval extending from 57.8665 to 83.9735 points. Find the confidence level (as a value between zero and one) of this interval

A personnel manager has found that, historically, the scores on aptitude tests given to applicants for entry-level positions follow a normal distribution with standard deviation 25.86 points. A random sample of 13 test scores from the current group of applicants had a mean score of 70.92 points. Based on these sample results, a statistician found for the population mean a confidence interval extending from 57.8665 to 83.9735 points. Find the confidence level (as a value between zero and one) of this interval

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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