The standard deviation for a population is σ = 15.5. A sample of 23 observations selected from this population gave a mean equal to142.05. The population is known to have a normal distribution. Round your answers to two decimal places..a. Make a 99% confidence interval for µ.B. Construct a 95% confidence interval for µC. Determine a 90% confidence interval for µ

The standard deviation for a population is σ = 15.5. A sample of 23 observations selected from this population gave a mean equal to142.05. The population is known to have a normal distribution. Round your answers to two decimal places..a. Make a 99% confidence interval for µ.B. Construct a 95% confidence interval for µC. Determine a 90% confidence interval for µ

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

The standard deviation for a population is σ = 15.5. A sample of 23 observations selected from this population gave a mean equal to
142.05. The population is known to have a normal distribution. Round your answers to two decimal places..
a. Make a 99% confidence interval for µ.
B. Construct a 95% confidence interval for µ
C. Determine a 90% confidence interval for µ

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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