explore the normal distribution
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Get it written →In this module, you explore the normal distribution. A standard normal distribution has a mean of zero and standard deviation of one. The z-score statistic converts a non-standard normal distribution into a standard normal distribution allowing us to use Table A-2 in your textbook and report associated probabilities.
The following table reports simulated annual flying squadron costs (in millions of dollars) at the following locations:
Data of annual flying squardon costs in millions of dollars by location.
Use Microsoft Excel and StatDisk to complete the Flying Squadron Costs table for the aircraft type listed below:
If your last name begins with the letter A through L, complete the costs using the B-52 data; use the Kadena data point in your z-score and probability calculations.
Report your values to two decimal places (i.e., 0.12) except for probability. Report probability values to four decimal places (i.e. p = 0.1234).
Your StatDisk results should look similar to this image:
Post the images of your spreadsheet and StatDisk results in the discussion area along with a narrative of your findings and the responses to the questions below.
Do these costs appear to come from a population that has a normal distribution? Why or why not?
Can the mean of your data sample be treated as a value from a population having a normal distribution? Why or why not?
Did an unusually low or unusually high z-score value occur?
Was the associated z score probability value less than 0.05 (p < 0.05); meaning a significantly low or significantly high event? If yes, what are the implications for the base and/or aircraft?
What were your findings? Hint: focus on the calculated mean, standard deviation and z-score (include probability) to interpret your results.
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