Answered: est 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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Test a claim that the mean amount of lead in the air in U.S. cities is less than

0.038

microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of

U.S. cities is

0.038

microgram per cubic meter and the standard deviation is

0.068

microgram per cubic meter. At

alphaαequals=0.01,

can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.

d) Decide whether to reject or fail to reject the null hypothesis.

▼

Fail to reject

Reject

Upper H 0H0

because the standardized test statistic

▼

is not

in the rejection region.

(e) Interpret the decision in the context of the original claim.

There

▼

is not

enough evidence at the

nothing%

level of significance to

▼

reject

support

the claim that the mean amount of lead in the air in U.S. cities is

▼

equal

greater than or equal

less than or equal

not equal

greater than

less than

nothing

microgram per cubic meter.

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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