In order to conduct a hypothesis test of the population mean, Prof. Leen draws a random sample of 35 observations from a normally distributed population with population standard deviation 1.8. The mean for the sample is 12.8. The hypotheses areH0: μ ≤ 12.5, HA: μ > 12.5(a) Calculate the value of the test statistic. (Round your answer to 2 decimal places.)(b) Give the p-value. (Round to three decimal places.)

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Answered: In order to conduct a hypothesis test…

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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In order to conduct a hypothesis test of the population mean, Prof. Leen draws a random sample of 35 observations from a normally distributed population with population standard deviation 1.8. The mean for the sample is 12.8. The hypotheses are

H₀: μ ≤ 12.5, H_A: μ > 12.5

(a) Calculate the value of the test statistic. (Round your answer to 2 decimal places.)

(b) Give the p-value. (Round to three decimal places.)

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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