Answered: The weight of chicken follows a normal…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.6: Permutations

Problem 16E

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Question 30

The weight of chicken follows a normal distribution, with a mean of μ pounds and a variance of 4 pounds^2. We took a sample of 144 chicken with a sample mean of 6 pounds. What is the two-sided 95% confidence interval of μ?

Note that from the z-distribution table, we know:

P(Z<= -1.645) = 5%

P(Z<= -1.96) = 2.5%

P(Z<= -1.28) = 10%

O [5.787,6.213]
O [5.347,6.653]
O [5.726,6.274]
O [5.673,6.327]
None of the other answers

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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