Question

Listed below are measured amounts of lead in the air. The EPA has established an air quality standard for lead of 1.5 μg/m³. The measurements shown below were recorded at Building 5 of the World Trade Center site on different days immediately following the attacks of Sep. 11. Use a 0.05 significance level to test the claim that the sample is from a population with a mean greater than the EPA standard. Is there anything about this data set suggesting the assumption of a normally distributed population might not be valid?

5.40     1.10     0.42     0.73     0.48     1.10

1.   Copy and paste the Minitab output for exercise into the document underneath the problem.   You are not also required to do these by hand, unless you want to.  

2. Write the rejection rule word for word as written here, "Reject Ho if the p-value is less than or equal to alpha."

3.   Write the actual p-value and alpha, then either "Reject Ho" or "Do not reject Ho." As an example: 0.0021 ≤ 0.05. True. Reject Ho.

4.    Write an English sentence stating the conclusion, claim, and significance level. As an example: If the claim is "Can we conclude that male business executives are taller, on the average, than the general male population at the  α  = 0.05 level?", and if we found our conclusion to be do not reject Ho, the sentence would be, "There is not enough evidence to conclude that  male business executives are taller, on the average, than the general male population at the  α  = 0.05 level."

Answer 1

Result:

Listed below are measured amounts of lead in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3. The measurements shown below were recorded at Building 5 of the World Trade Center site on different days immediately following the attacks of Sep. 11. Use a 0.05 significance level to test the claim that the sample is from a population with a mean greater than the EPA standard. Is there anything about this data set suggesting the assumption of a normally distributed population might not be valid?

5.40     1.10     0.42     0.73     0.48     1.10

1.   Copy and paste the Minitab output for exercise into the document underneath the problem.   You are not also required to do these by hand, unless you want to.  

2. Write the rejection rule word for word as written here, "Reject Ho if the p-value is less than or equal to alpha."

Reject Ho if the p-value is less than or equal to 0.05

3.   Write the actual p-value and alpha, then either "Reject Ho" or "Do not reject Ho." As an example: 0.0021 ≤ 0.05. True. Reject Ho.

P value 0.481 > 0.05. Do not reject Ho

Or

0.481 ≤ 0.05. False. Do not reject Ho.

.

4.    Write an English sentence stating the conclusion, claim, and significance level. As an example: If the claim is "Can we conclude that male business executives are taller, on the average, than the general male population at the  α  = 0.05 level?", and if we found our conclusion to be do not reject Ho, the sentence would be, "There is not enough evidence to conclude that  male business executives are taller, on the average, than the general male population at the  α  = 0.05 level."

There is not enough evidence to conclude that  sample is from a population with a mean greater than the EPA standard for lead of 1.5 μg/m3 at the  α  = 0.05 level.

Probability plot and significance of AD test shows that assumption of a normally distributed population might not be valid.