Answered: Nicotine Content of Cigarettes A…

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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Nicotine Content of Cigarettes A manufacturer of cigarettes wishes to test the claim that the variance of the nicotine content of the cigarettes the company manufactures is equal to 0.616 milligrams. The variance of a random sample of 25 cigarettes is 0.856 milligrams. At α=0.05, test the claim. Assume that the variable is approximately normally distributed. Use the critical value method with tables.

(a)State the hypotheses and identify the claim with the correct hypothesis.

:H0 ▼(Choose one)

:H1 ▼(Choose one)

This hypothesis test is a ▼(Choose one) test.

b)Find the critical value(s). Round the answers to three decimal places, if necessary. If there is more than one critical value, separate them with commas.

Critical value(s)=

(c)Compute the test value. Round the answer to three decimal places.

χ2=

(d)Make the decision.

▼(Choose one) the null hypothesis.

(e)Summarize the results.

There is ▼(Choose one) that the variance of the nicotine content is

0.616

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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