Answered: Nicotine Content of Cigarettes A…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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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 0.638milligrams. The variance of a random sample of 25 cigarettes is 0.885 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: claim/do not claim ▼(Choose one)

H1: claim/do not claim ▼(Choose one)

This hypothesis test is one tailed/two tailed(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.

X2=

(d)Make the decision.

Reject/do not reject▼(Choose one) the null hypothesis.

(e)Summarize the results.

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

0.638

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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