Lab 2-Graphing Data and Numerical Summaries_Student

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Purdue University *

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301

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Statistics

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Feb 20, 2024

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Name: T.A. name: Lab 2: Graphing Data and Numerical Summaries NOTE: SPSS outputs are necessary to show full completion of the lab. Please paste all SPSS outputs into your lab report and submit the completed reports including all requested tables and graphs via Brightspace (under the "Lab" folder) by 11:50 pm Friday. Two points will be deducted for each SPSS requested output that is not included in the submitted lab document. Also, 30% points will be deducted for late submission, up to 24 hours. Dataset : This lab uses the dataset ( SleepPatterns ), located on Brightspace under Lab in the Datasets submodule. Instructions for opening the dataset in SPSS are found as follows. SPSS installed on a computer: Reference page 4 of the SPSS Instruction Manual SPSS running remotely: Reference the slide “Opening your Dataset Remotely in SPSS via Go Remote” in the document “SPSS using Citrix access guidelines” on Brightspace. Two hundred fifty college students in Indiana participated in a study examining the associations among sleep habits, sleep quality and physical/emotional factors. Participants completed an online survey about sleep habits that included the Pittsburgh Sleep Quality Index (PSQI), the Epworth Sleepiness Scale (ESS), the Horne-Ostberg Morningness Eveningness Scale (MES), the Subjective Units of Distress Scale (SUDS), and questions about academic performance and physical health. 1. (2 points) Fill in the chart below. In the second column, record whether the variable is quantitative or categorical, based on the data in the lab dataset . In the third column record whether a bar graph or a histogram correctly shows the distribution of the data. Variable Name Type of variable Type of graph Sleep_time_week Quantitative Histogram Gender Categorical Bar Graph Weight Quantitative Histogram Class Categorical Bar Graph Age Quantitative Histogram 1
2. (2 points) Use SPSS to make a bar graph for the variable Gender . Copy and paste the graph into this document here . 3. (2 points) Use SPSS to make a histogram for the variable Sleep_time_week . Copy and paste the graph into this document here . 4. (2 points) Use SPSS to find the mean and standard deviation of Sleep_time_week . Record the values rounded to two decimal places below. Copy and paste t he SPSS output into this document here. Sleep_time_week: Mean: 7.05 Standard deviation: 0.46 2
Descriptive Statistics N Minimum Maximum Mean Std. Deviation Sleep_time_wee k 250 5.74 8.27 7.0448 .45649 Valid N (listwise) 250 5. (4 points) SPSS is not used in this course to find quartiles because the program’s default method yields an unbiased estimate of the population quartiles. Rather, in this course, the interest is to find quartiles associated with the sample. BY HAND , find the 5-number summary of Sleep_time_week . Show your work on how to find the location of Q1, Median and Q3. (You can use SPSS to sort the data from smallest to largest first, and use the row number on the left of the Data View tab to make the job easier). Q 1 : (6.74+6.74)/2 = 6.74 Median: (7.05+7.07)/2 = 7.06 Q 3 : (7.33+7.34)/2 = 7.34 5# summary for Sleep_time_week : Min: 5.74 Q 1 : 6.74 Median: 7.06 Q 3 : 7.34 Max: 8.27 6. (2 points) Inspect the histogram for the variable Sleep_time_week created in Question 3. Is the graph approximately symmetric, skewed left, or skewed right ? Explain how the graph’s shape is related to the Mean and Median calculated in Questions 4 and 5. The graph is approximately symmetric. Because the mean and median are so close, they make the graph approximately symmetric. 7. (2 points) BY HAND , use the 1.5*IQR Rule to determine if there are any suspected outliers for the variable Sleep_time_week . Show your work. State and explain why there are or not suspected outliers. If there are suspected outliers, identify the values. IQR: 7.34 – 6.74 = 0.6 Lower: 6.74 – (1.5*0.6) = 5.84 Upper: 7.34 + (1.5*0.6) = 8.24 Outliers: 5.74, 5.79, 8.27 8. (2 points) Use SPSS to make a boxplot or modified boxplot for the variable Sleep_time_week. Copy and paste the graph into this document here . In the space below, explain where the numbers calculated in Question 5 appear. 3
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The min is the bottom line, Q 1 is the next line above it, the median is the bolded line, above that is Q 3 , and the top line is the max. 9. (2 points) For the variable Sleep_time_week , explain if the mean and standard deviation are appropriate to describe the distribution. If not, what should be used instead? It is appropriated to use mean and standard deviation for this distribution because the mean is central to the data and the data is approximately symmetric. 4