Question: Select a quantitative variable for which you have some knowledge and can obtain at least 50 sample observations. I prefer that you use data with which you have limited familiarity. If you used data to find the 5 ^th , 50 ^th and 95 ^th percentiles for the previous assignment, then use another set of data. Also using the data for a variable I analyzed in class is not acceptable.

1. Provide an operational definition for the measurements for this variable.
2. Based on your knowledge of this variable record a value that is your best guess for the middle of the distribution of its values. The value of this best guess is to be determined without examining the data values you will use for this assignment.
3. Tell how the data were obtained. If you did not collect the data yourself then give the source from which you obtained the data and briefly tell, as best as you can, how the data were originally obtained. Give the size of the sample and determine the minimum, first quartile, median, third quartile and maximum values. If the data set is not too large (let 100 be the break point), provide a listing of the values ordered from smallest to largest.
4. Did the data come from a process or population? If the data came from a process then create a run chart and tell whether you think that the data are indicative of a single process with stable characteristics. Even if you judge that the data are not from a process with stable characteristics, proceed as if it were and complete the remaining parts even though in reality doing so would not be appropriate.
5. Screen these data for outlier or extreme values that may not be indicative of the phenomenon you want to study. For each observation that you decide to exclude from the remainder of the analysis give its value and tell why you decided to exclude it.
6. Create a histogram for the data and tell whether it appears that your guessed value is close the middle of this distribution.
7. Calculate the sample mean and standard deviation for the data and use them to create a 90% confidence interval for the phenomenon mean. (Section 6.3.3 on page 248 of Canavos text)
8. Tell whether you think the following statement is true or not and give a reason for your answer. If another data value is obtained from the exact same phenomenon that provided the data that were used to create the confidence interval (assuming the process is stable even if it is not) then it is reasonable to say that there is a 90% chance or probability that the value of this additional observation will be between the lower and upper limits of the confidence interval.
9. Write the appropriate null and alternate hypotheses to test to determine if the phenomenon mean is different from your guessed value. Use  = .10 and the confidence interval from h to perform this 2-sided or 2-tail test of hypothesis, then report your conclusion.

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