Test a claim that the mean amount of lead in the air in U.S. cities is less than0.036microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of54U.S. cities is0.039microgram per cubic meter and the standard deviation is0.068microgram per cubic meter. Atα=0.10,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. ▼ RejectFail to rejectH0because the standardized test statistic▼ is notisin the rejection region.Part 6(e) Interpret the decision in the context of the original claim. There▼ is notisenough evidence at theenter your response here%level of significance to▼ rejectrejectsupportsupportthe claim that the mean amount of lead in the air in U.S. cities is▼ less thanequalgreater thangreater than or equalnot equalless than or equalenter your response heremicrogram per cubic meter.(Type integers or decimals. Do not round.)

Given that Sample size n =54 Sample mean =0.039 Sample standard deviation =0.068

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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Part 6

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

There

▼

is not

enough evidence at the

enter your response here%

level of significance to

▼

rejectreject

supportsupport

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

▼

less than

equal

greater than

greater than or equal

not equal

less than or equal

enter your response here

microgram per cubic meter.

(Type integers or decimals. Do not round.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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