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Name: Heights were measured for a random sample of 13 plants grown while bei
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Description: Heights were measured for a random sample of 13 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 48 centimeters and 12 centimeters, respectively.Assume that t

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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Heights were measured for a random sample of 13 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 48 centimeters and 12 centimeters, respectively.Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 40 centimeters? Use the 0.1 level of significance.

State the null hypothesis H0 and the alternative hypothesis H1
Using the t test find the value
find the p-value
At the 0.1 level of significance, can it be concluded that the population mean height of treated plants is different from

40 centimeters? Yes or no?

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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