Description

STAT 250 Fall 2019 Data Analysis Assignment 1

Your submitted document should include the following items.  Points will be deducted if the following are not included. 

1. Type your Name and STAT 250 with your correct section number (e.g. STAT 250-xxx) right justified and then Data Analysis Assignment #1 centered on the top of page 1 below your name the begin your document.
2. Number your pages across your entire solutions document.
3. Your document should include the ANSWERS ONLY with each answer labeled by its corresponding number and subpart. Keep the answers in order. Do not include the questions in your submitted document.
4. Generate all requested graphs and tables using StatCrunch. 

Elements of good technical writing:

Use complete and coherent sentences to answer the questions.

Graphs must be appropriately titled and should refer to the context of the question.

Graphical displays must include labels with units if appropriate for each axis.

Units should always be included when referring to numerical values.

When making a comparison you must use comparative language, such as “greater than”, “less than”, or “about the same as.”

Ensure that all graphs and tables appear on one page and are not split across two pages.

Type all mathematical calculations when directed to compute an answer ‘by-hand.’ 

Pictures of actual handwritten work are not accepted on this assignment.

When writing mathematical expressions into your document you may use either an equation editor or common shortcuts such as:  can be written as sqrt(x), can be written as p-hat, can be written as x-bar.

Problem 1: Moviepass/AMC A-List

Moviepass is a subscription service that allows users to see one movie per day at select theaters.  AMC Theatres released their own movie subscription service called A-List to compete with Moviepass which allows users to see up to three movies per a week.  Raw data was collected from one user who purchased an annual Moviepass subscription in January 2018 and subscription to A-List from November 2018 until August of 2019.  The dataset found in our StatCrunch Group presents 257 movies seen along with other variables describing each movie. The data set is called “Moviepass/AMC A-List.”

a)      Use StatCrunch to create a one-way table for the variable “Month” using both counts and percentages.  Select Stat à Tables à Frequency.  Select “Month” in the Select Column(s) box, and select both ‘Frequency’ and ‘Percent of total’ in the Statistic(s) box by holding down the Ctrl Key (Command Key on Macs) when making these selections. Copy your table into your document and then manually round the values in the ‘Percent of total” column to two decimal places in the StatCrunch table that you have copied into your document.

b)      Interpret your findings from the table in 1(a) by identifying the least and most frequented month by percent of total.  Use complete sentences with context and include the month and percentage in the sentences.

c)      Use StatCrunch to generate a two-way table for the variables “Month” and “Subscription”.  Go to Stat à Tables à Contingency à With Data (since you have the raw data in StatCrunch).  Select “Month” as your row variable and “Subscription” as your column variable.  In the display box, select only Percent of Total.  Lastly, unclick (or deselect) “Chi-Square test for independence” since it is highlighted by default by holding the Ctrl key and clicking on it.  Copy your table into your document.

d)     Of the 257 movies, what was the most frequented month for each subscription? Include the month for each subscription, percentage and answer this question in a complete sentence.

e)      What values are the same when looking at both your one-way table and your two-way table?  Be specific if referencing rows or columns. 

f)       Now, create two more two-way tables keeping “Month” as your row variable and “Subscription” as your column variable.  One table needs to include row percentages and the other needs to include column percentages.  To do this, change what you select in the display box from percent of total (in part 1(c)) to row percent for the first table and column percent for the second table.  Include both tables in your document.

g)      Specifically interpret the meaning of the row percentage found in the “September” and “Moviepass” cell.  Note that there are 13 movies in that cell.

h)      Now, specifically interpret the meaning of the column percentage found in the “September” and “Moviepass” cell.  Note that there are 13 movies in that cell.