Listed below are the lead concentrations in muμg/g measured in different traditional medicines. Use a 0.010.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 1717 muμg/g. Assume that the lead concentrations in traditional medicines are normally distributed. 1010 13.513.5 16.516.5 19.519.5 2121 13.513.5 3.53.5 22.522.5 1313 3.53.5 What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g B. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμgreater than>1717 muμg/g C. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμnot equals≠1717 muμg/g D. Upper H 0H0: muμgreater than>1717 muμg/g Upper H 1H1: muμless than<1717 muμg/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. Upper H 0H0. There is evidence to conclude that the mean lead concentration for all such medicines is 1717 muμg/g

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Listed below are the lead concentrations in

muμg/g

measured in different traditional medicines. Use a

0.010.01

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

1717

muμg/g.

Assume that the lead concentrations in traditional medicines are normally distributed.

1010

13.513.5

16.516.5

19.519.5

2121

13.513.5

3.53.5

22.522.5

1313

3.53.5

What are the null and alternative hypotheses?

Upper H 0H0:

muμequals=1717

muμg/g

Upper H 1H1:

muμless than<1717

muμg/g

Upper H 0H0:

muμequals=1717

muμg/g

Upper H 1H1:

muμgreater than>1717

muμg/g

Upper H 0H0:

muμequals=1717

muμg/g

Upper H 1H1:

muμnot equals≠1717

muμg/g

Upper H 0H0:

muμgreater than>1717

muμg/g

Upper H 1H1:

muμless than<1717

muμg/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.

Upper H 0H0.

There is

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

1717

muμg/g

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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