Use the given data to find the 95% confidence interval estiate of the population mean ?μ. Assume that the population has a normal distribution. IQ scores of professional athletes: Sample size n=20 Mean =106 Standard deviation ?=9

Use the given data to find the 95% confidence interval estiate of the population mean ?μ. Assume that the population has a normal distribution. IQ scores of professional athletes: Sample size n=20 Mean =106 Standard deviation ?=9

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 8PT

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Question

Use the given data to find the 95% confidence interval estiate of the population mean ?μ. Assume that the population has a normal distribution.

IQ scores of professional athletes:
Sample size n=20
Mean =106
Standard deviation ?=9

? <?< ?

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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