MAT274 Grand Canyon Descriptive Statistics Problems Paper

Choose one of the attached data sets and analyzeusing the techniques discussed in class up to this point. Thisincludes the following:

Find the appropriate measure of center. Discuss why the chosenmeasure is most appropriate. Why did you decide against otherpossible measures of center?
Find the appropriate measureof variation. The measure of variation chosen here should match themeasure of center chosen in Part 1.
Find the graph(s)needed to appropriately describe the data. These may be done by handand inserted into the Word document.
Define a randomvariable (X) so that your chosen data set represents valuesof X.
Is your chosen random variable discrete orcontinuous? Explain how you know.
Would the Normal orBinomial distribution be a good fit for the underlying sampledistribution of X? If one of them is a good fit, state howyou would approximate the distribution parameters.
Calculate the probability that a flight will depart early oron-time.
Calculate the probability that a flight will arrivelate.
Calculate the probability that a flight departs late orarrives early.
Assume now that the random variableX=Arrival Time is exactly normally distributed with meanm= -2.5 and standard deviation s= 23. Compute theprobability of a flight arriving late based on this new information.Does this contradict your answer from Part 8?

Write a brief description (250500 words) of the data setincluding the discussion required in the points above.

All calculations must be performed in Excel. The Excel file must besubmitted as part of the report.

This assignment uses a rubric. Please review the rubric prior tobeginning the assignment to become familiar with the expectations forsuccessful completion.

Complete and submit the assignment to LoudCloud as directed by your instructor.

This assignment assesses programmatic competencies:
6.1 Students will examine the sources of statisticalviability and the role randomness in statisticalinference.
6.2 Students will be able to selectthe appropriate probability distribution for a variety of data setsand estimate the parameters.
6.4 Students willbe able to construct a sufficient representation of a variety ofdata sets.
6.5 Students will be able to distinguishbetween empirical and theoretical probability and the impact oncalculations of probability.

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