Answered: Test a claim that the mean amount of…

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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Question

Test a claim that the mean amount of carbon monoxide in the air in U.S cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 63 cities is 2.38 parts per millionband the standard deviation is 2.12 parts per million. At a= 0.01, can the claim be supported? Assume population is normally distributed.

i) Identify the claim and state Ho and Ha

ii) Find the critical value(s) and identify the rejection region(s).

iii) Find the standardized test statistic, t.

iv) Decide wheter to reject or fail to reject the null hypothesis.

v) Interpret the decision in the context if the original claim.

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**Hypothesis Testing Steps**

ii) **Find the critical value(s) and identify the rejection region(s).**

iii) **Find the standardized test statistic, \( t \).**

iv) **Decide whether to reject or fail to reject the null hypothesis.**

v) **Interpret the decision in the context of the original claim.**

**Choose the correct answer.**

a)

i)

\( H_0 \)

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This segment guides users through the process of hypothesis testing, from determining critical values and test statistics to making informed decisions about the null hypothesis.

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 63 cities is 2.38 parts per million and the standard deviation is 2.12 parts per million. At α = 0.01, can the claim be supported? Complete parts (i) through (v) below. Assume the population is normally distributed.

i) Identify the claim and state

\( H_0 \)

and

\( H_a \)

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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