Answered: construct a confidence interval for the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

Calculate the margin of error and construct a confidence interval for the population proportion using the normal approximation to the p̂-distribution (if it is appropriate to do so).

Standard Normal Distribution Table

a. x=9, n=35, α =0.2�=9,

Round to four decimal places if necessary

Enter 0 if normal approximation cannot be used

? < p < ?

Round to four decimal places if necessary

Enter 0 if normal approximation cannot be used

b. x=4, n=15, α =0.02

Round to four decimal places if necessary

Enter 0 if normal approximation cannot be used

< p <

Round to four decimal places if necessary

Enter 0 if normal approximation cannot be used

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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