*Assigned Problem Kabul: According to data released by World Bank, the mean PM10 (particulate matter) for the city of Kabul Afghanistan in 2012 was 46. Suppose that because of efforts to improve air quality in Kabul, increases in modernization and efforts to establish environmentally friendly businesses, city leaders believe PM rates have decreased. To test this notion, city leaders randomly sample 25 readings over a one-year period. The readings are shown below. Set alpha to .01

Kabul PM Data (enter into Minitab column)

36 54 55 53 57 47 42 40 45 38 53 45 47 22 25 46 34 62 54 55

44 34 51 54 27

Instructions to get you started:

Enter data from problem into a Minitab worksheet to create a dataset for the Kabul PM data.

Use Minitab to test the hypothesis you formulate for the Kabul study. Present your work in report format using the six-step process demonstrated in class and which is shown on the final page of this handout

For your report (prepared in Word) you will need a Problem Definition, a Hypothesis (use correct symbols in Word see INSERT>Symbols for the correct symbols to use in the hypothesis) a Decision Rule (use tables to determine the correct critical value, for the Conclusion section include the critical value/critical ratio technique, the confidence interval technique the p-value technique to test the null hypothesis State the type of error you may have made. For the Interpretation section state whether the air quality has improved or has stayed the same.

For your Assumption section; address the assumption of normality by referencing the boxplot of the data. Be sure to cut and paste the graph form Minitab to your report. Resize the graph to fit neatly within your report in the section you label Assumptions. Include a brief discussion of how normality is or is not satisfied according to what you see in the graph. At minimum, be sure to reference the median and mean and central tendency or your discussion of the graph. Be sure to discuss direction of skew. 7 points

Approximation of the binomial distribution using normal distribution: Use Z table

Problem You Are Working and Type of Test Z test

Problem Definition: Provide brief description of research objective

Hypothesis

Decision Rule

Test

Conclusion

Interpretation

Assumptions