Listed below are the lead concentrations inμg/gmeasured in different traditional medicines. Use a0.10significance level to test the claim that the mean lead concentration for all such medicines is less than16μg/g.Assume that the sample is a simple random sample. 15.5 18 10 7 4.5 11.5 10 18.5 10 13.5 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A.H0:μ>16μg/gH1:μ<16μg/g B.H0:μ=16μg/gH1:μ>16μg/g C.H0:μ=16μg/gH1:μ<16μg/g D.H0:μ=16μg/gH1:μ≠16μg/g Determine the test statistic. nothing(Round to two decimal places as needed.) Identify the range of values for P-value. (You will not enter it here; you will use it to make your decsion below.) State the final conclusion that addresses the original claim. ▼ RejectFail to rejectH0.There is▼ sufficientnot sufficientevidence to conclude that the mean lead concentration for all such medicines is▼ less thannotequal togreater than16

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Description: Listed below are the lead concentrations inμg/gmeasured in different traditional medicines. Use a0.10significance level to test the claim that the mean lead concentration for all such medicines is less than16μg/g.Assume that the sample is a simple

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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

0.10

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.

15.5

4.5

11.5

18.5

13.5

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

H0:

μ>16

μg/g

H1:

μ<16

μg/g

H0:

μ=16

μg/g

H1:

μ>16

μg/g

H0:

μ=16

μg/g

H1:

μ<16

μg/g

H0:

μ=16

μg/g

H1:

μ≠16

μg/g

Determine the test statistic.

nothing

(Round to two decimal places as needed.)

Identify the range of values for P-value. (You will not enter it here; you will use it to make your decsion below.)

State the final conclusion that addresses the original claim.

▼

Reject

Fail to reject

H0.

There is

▼

sufficient

not sufficient

evidence to conclude that the mean lead concentration for all such medicines is

▼

less than

not

equal to

greater than

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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