Please answer these questions using SPSS. Thank you

Note: For all assignments, you must show therequested output from SPSS.

Example. Determine the descriptive statisticsfor three quantitative variables. Which variable has the highestmean? The most variability?

Answer: Output should include 3 boxes ofdescriptive statistics, one for each variable. There should also beone page that gives the answer to the other two questions.

The following sample data are used. We are interested in thedescriptive statistics from these variables: sleep duration ofundergrads, the number of NBA wins and the number of words in arésumé). Assume that they are all samples frompopulations. Use the instructions from the first two recitationworksheets to help you.

Sleep duration for undergraduates (minutes)	Wins2 (NBA teams)	Words3 (in résumé)
405	388	60	190
367	475	53	339
368	425	50	220
373	425	49	295
376	535	46	180
410	580	41	214
379	383	40	257
383	440	38	201
385	488	38	242
387	523	22	240
400		28	223
390		32	301
425		25	267
488		53	284
523		48	238
600		67	251
420		56	278
488		56	294
488		51	266
523		55	227
328		55	281
367		50	312
368		45	332
390		45
376		39
377		38
379		30
383		29
385		21
400		16
	N = 40	N = 30	N = 23

¹ This is a survey of the amount of sleep for onenight for 40 undergraduates.

² These are the numbers of wins for the 30 NationalBasketball Association teams for the 2014-2015 NBA season.

³ A large university offers training on résuméconstruction. This lists the number of words in each of 23résumés.

Note: Here are the 5% Trimmed Means for thesevariables. This will help you make sure you’ve input the datacorrectly: Amount of sleep: 419.94 minutes. Wins: 42.69. Words:257.72.

1. Input the data the way you learned in recitation. You can inputall of the data (3 data sets) at the same time, but youmust run the analysis of each variable individually,otherwise SPSS won’t read it correctly, because the sample sizesare different. [Compare your descriptive statistics with the meansand standard deviations on your graphs; this will help you makesure100405405 your numbers are correct.] In addition, I want you toadd another variable next to the words variable which will dividethe variable “Words” categorically. I want you to call thisvariable “wordscat.” (Note: this is the variablename. The variable labelcan bemore descriptive, e.g., Words by Category). Create this variableusing the Transform procedure you used in lab. Remember that youwill have to give this variable Value Labels in the VariableView.

The scores should be divided into categories like this:

Low:100-200             Moderate: 201-300          High: 301-400

1. For all the quantitative variables (wordscat is categorical)find descriptive statistics (using Explore). Print out“Descriptives” and Stemplot. Remember to do this for eachvariable individually. If you try to do them at the sametime your answers will be incorrect.

1. For all the quantitative variables (wordscat is categorical)create and print out frequency distributions and histograms (usingFrequencies). Remember to do this for each variableindividually. If you try to do them at the same time youranswers will be incorrect. Note: When doing the histogram, if youcheck the box “Show Normal Curve” this does not mean your variableis normal. It just shows what normal would look like and you cancompare the shape of your variable to what is normal.

1. For the categorical variable (wordscat) create and print out abar chart. Make sure the variable is categorical on your chart andremember to label the chart.

1. Create a variable (call it “sleeptwo”) that multiplies eachstudent’s amount of sleep by 2 (do this by using Transform >Compute like in Lab 2, but instead of adding, we are multiplying by2. Use this sign * for multiplication). Repeat steps 2 and 3 abovefor the new variable.

On your separate page please answer the followingquestions (worth 8 points):

1. Calculate the SS for each of the three mainquantitative variables using the variance youobtained in SPSS (this should be on a sheet separate from the SPSSoutput). Note: Remember the relationship betweenvariance and SS to help you do this.

1. Write 1-2 sentences (on your separate page) for each of thethree main quantitative variables including the following:values of the mean, median, standard deviation andapproximate shape of the distribution (look at thehistogram). The shape may not be obvious; this is ok. Just do yourbest to describe what you think is going on with the data (e.g.,mention whether you think there is skew, are there are anyoutliers, is it bimodal?).

1. Answer the following questions:
   1. What happened to the mean and standard deviation of sleeptwocompared to the original mean and standard deviation of thatvariable?
   2. What happened to the shape of the distribution of the sleepvariable after multiplying by two (compared to the originalvariable)? What is the explanation for this?