Questions 10-14 use the same information below.A random sample {x1,x2, ..., x16} is selected from a normal distribution with mean μ and standard deviation σ = 3. Let x¯ be the sample mean. The hypothesis H0:μ≤10 is tested against H1:μ>10.Question 12. If the sample mean is observed as x¯=11.5 , the p-value is closest toGroup of answer choices0.010.10210.050.02280.1575

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Answered: Questions 10-14 use the same…

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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Questions 10-14 use the same information below.

A random sample {x_1,x₂, ..., x₁₆} is selected from a normal distribution with mean μ and standard deviation σ = 3. Let x¯ be the sample mean. The hypothesis H₀:μ≤10 is tested against H₁:μ>10.

Question 12. If the sample mean is observed as x¯=11.5 , the p-value is closest to

Group of answer choices

0.01

0.1021

0.05

0.0228

0.1575

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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