Listed below are the lead concentrations in mu g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 21mu g/g.Assume that the sample is a simple random sample. 8 16 17.5 21 22 22 14.5 22.5 12 6.5 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 21 ug/g. Assume that the sample is a simple random sample.8 1617.521222214.5 22.5126.5 OAssuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?O A. H,: µ= 21 µg/gH,: u#21 ug/gΟ Β. Η. μ = 21 μggH,: µ<21 ug/gO C. Ho: µ> 21 µg/gH,: µ<21 ug/gO D. H . μ= 21 μglgΗ μ> 21 μg/g

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Description: Listed below are the lead concentrations in mu g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 21mu g/g.Assume that the sample is a

The claim is that the mean lead concentration for all such medicines is less than 21mu g/g. Null hypothesis: µ=21. Alternative hypothesis: µ<21. This is a left tailed test. Here, n is the number of observations. Hence, n is 10. The mean is calculated below.Here, the sample mean, x-bar is 16.2. Population mean, µ is 21. Sample standard deviation, s = 5.903. Sample size, n is 10. Hence, the degrees of freedom is 9. Given that the level of significance is 0.05. Since the population standard deviation is unknown, the appropriate test is one sample t-test. The test statistic value can be obtained as follows: Computation of p-value: The p-value of t-distribution at 9 degrees of freedom can be obtained using the excel formula “ =T.DIST(-2.57,9,TRUE) ”. The p-value is 0.0151. Decision rule: If p-value ≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: Here, p-value (0.0151) is less than the level of significance (0.05). Therefore, reject the null hypothesis. There is sufficient evidence to conclude that the mean lead concentration is significantly less than 21.

Answered: Listed below are the lead…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Listed below are the lead concentrations in mu g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 21mu g/g.

Assume that the sample is a simple random sample.

17.5

14.5

22.5

6.5

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

Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 21 ug/g. Assume that the sample is a simple random sample.
8 16
17.5
21
22
22
14.5 22.5
12
6.5 O
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?
O A. H,: µ= 21 µg/g
H,: u#21 ug/g
Ο Β. Η. μ = 21 μgg
H,: µ<21 ug/g
O C. Ho: µ> 21 µg/g
H,: µ<21 ug/g
O D. H . μ= 21 μglg
Η μ> 21 μg/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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