Listed below are the lead concentrations inμg/gmeasured in different traditional medicines. Use a0.01significance level to test the claim that the mean lead concentration for all such medicines is less than14μg/g.Assume that the sample is a simple random sample. 3.5 17 13 2.5 10 20 6.5 17 8.5 2.5 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A.H0:μ=14μg/gH1:μ>14μg/g B.H0:μ>14μg/H1:μ<14μg/g C.H0:μ=14μg/gH1:μ≠14μg/g D.H0:μ=14μg/gH1:μ<14μg/gDetermine the test statistic. ______________(Round to two decimal places as needed.)Determine the P-value. ____________(Round to three decimal places as needed.)State the final conclusion that addresses the original claim. (1) _____________H0. There is (2) evidence to conclude that the mean lead concentration for all such medicines is (3)________________ 14μg/g.(1) Reject OR Fail to reject(2) not sufficient OR sufficient(3) equal to greater than OR less than not

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Description: Listed below are the lead concentrations inμg/gmeasured in different traditional medicines. Use a0.01significance level to test the claim that the mean lead concentration for all such medicines is less than14μg/g.Assume that the sample is a simple

Given: Mean, μ=14 Level of significance, α=0.01 Sample: 3.5,17,13,2.5,10,20,6.5,17,8.5,2.5…

Answered: Listed below are the lead…

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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Listed below are the lead concentrations in

μg/g

measured in different traditional medicines. Use a

0.01

significance level to test the claim that the mean lead concentration for all such medicines is less than

μg/g.

Assume that the sample is a simple random sample.

3.5

2.5

6.5

8.5

2.5

Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?

H0:μ=14μg/g

H1:μ>14μg/g

H0:μ>14μg/

H1:μ<14μg/g

H0:μ=14μg/g

H1:μ≠14μg/g

H0:μ=14μg/g

H1:μ<14μg/g

Determine the test statistic.

______________

(Round to two decimal places as needed.)

Determine the P-value.

____________

(Round to three decimal places as needed.)

State the final conclusion that addresses the original claim.

(1) _____________H0. There is (2) evidence to conclude that the mean lead concentration for all such medicines is (3)________________ 14μg/g.

(1)

Reject OR

Fail to reject

(2)

not sufficient OR

sufficient

(3)

equal to

greater than OR

less than

not

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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