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Name: 21.The height of corn stalks in a large Wisconsin field are normally d
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Description: 21.The height of corn stalks in a large Wisconsin field are normally distributed with mean μ cm and standard deviation σ cm. A farmer randomly selected and measured 9 corn stalks; he determined that the sample mean height x ̄ = 140 cm with sample sta

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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21.The height of corn stalks in a large Wisconsin field are normally distributed with mean μ cm and standard deviation σ cm. A farmer randomly selected and measured 9 corn stalks; he determined that the sample mean height x ̄ = 140 cm with sample standard deviation s = 12 cm. Find a 95% confidence interval for μ.

In reference to question (21), suppose we wish to test H0 : μ = 145 versus Ha : μ < 145 at the α = 0.05 significance level. Which of the following is/are true?

(A) We have evidence that μ = 145 (B) p − value ∈ (0.20, 0.30)
(C) se(x ̄) = 9.224
(D) μ is not significantly less than 145

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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