Answered: Heights were measured for a random…

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

19 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 44 centimeters and 10 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 45 centimeters? Use the 0.05 level of significance.

Perform a two-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:	H0: __?
The alternative hypothesis:	H1: __?
The type of test statistic:	(Choose one)Z,t,Chi square,F

The value of the test statistic: (Round to at least three decimal places.)	__?
The p-value: (Round to at least three decimal places.)	__?
At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from 45 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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