Sleep Lab

Summary:  You will gather some data about people’s sleeping habits and summarize the data.

Data Collection

Pick 25 adults (18 or older) including yourself, and ask them how many hours they slept last night (to the nearest hour), and their position for going to sleep (back, left side, right side, stomach, or unsure). Record the answers using separate paper or the form below.

Try to do all the data collection the same day. Why do you think it might be bad to collect some data on a Sunday and some data on a Monday?

Data Analysis

You’ll see numbered questions and problems below, with point values. Write your answers on separate paper and hand them in, showing your work for any computations. Also hand in your raw data, either the table above or the separate sheet where you recorded your data. I cannot accept the lab without your raw data.

Staple all pages together neatly. Loose sheets, paper clips, and other insecure fasteners are not acceptable.

Question 1 (points: 3):  This is clearly not a random sample. Considering TC3 students as the population, name one appropriate type of sample and briefly describe how you could obtain such a sample.

The next two apply to your data for sleeping position.

Question 2 (points: 2):  What is the type of the data? (Give the most specific answer you can, not just “numeric”, “attribute”, “qualitative”, or “quantitative”.)

Question 3 (points: 5):  Out of bar graph, pie chart, histogram, and stem-and-leaf, construct the most appropriate graph for this data set. Include any necessary labels or scaling.

The rest of the questions apply to your data for hours slept.

Question 4 (points: 2):  What is the type of the data? (Give the most specific answer you can, not just “numeric”, “attribute”, “qualitative”, or “quantitative”.)

Question 5 (points: 5):  Out of bar graph, pie chart, histogram, and stem-and-leaf, construct the most appropriate graph for this data set. Include any necessary labels or scaling.

Question 6 (points: 1):  What is the shape of this data set? (If it doesn’t match any of the shapes we studied, say so.)

Question 7 (points: 2):  Use your TI calculator to compute the five-number summary, and write down the numbers with their proper symbols.

Question 8 (points: 3): Draw a modified boxplot, including any outliers, and show the scale of the axis. (You can use your TI to help you.)

Question 9 (points: 1½):  What is your own percentile rank in this data set? Show your raw score and how you computed your percentile rank.

Question 10 (points: 3):  Compute the mean and standard deviation of this data set.

Question 11 (points: 1½):  What is your own z-score in this data set?

Question 12 (points: 1):  Is the mean larger than, smaller than, or about the same as the median? What does this tell you about the shape of the data?