STAT Lab Activity #1 (3)

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Clemson University *

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3090

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Statistics

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Feb 20, 2024

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pdf

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Uploaded by ConstableGrasshopper3128

N AME : Katie Hudson P URPOSE : Some of the first questions we need to ask ourselves when confronted with interpreting data are “Who or what is this data about?”, “Where did this data come from?”, What kind of data am I looking at?”. These initial questions will help us determine how to analyze and interpret the data. The following activity will help us practice answering these questions using the language specific to statistics. O BJECTIVES : Upon successful completion of this assignment, you will be able to… · Classify data into data types · Identify the population, sample, parameter, statistic in context · Determine if a statistic is being used for inference · Determine the type of study from the context of a problem · Distinguish between explanatory and response variables 1. Sleepy Hollow (40 pts) The town of Sleepy Hollow has 18,000 residents over the age of 10. We have recorded for us the number of hours generally slept per night by each resident over the age of 10. You will find this data by going to the website: https://www.rossmanchance.com/applets/2021/sampling/OneSample.html Be sure that the population data is for “Sleep 1”. Also, select “Show Sampling Options” on the right side. Realistically, it would be very difficult to record data for every person in this town. Thus, we would likely take a sample of the residents, calculate statistics from the sample data, and use those statistics as an educated guess for the actual population parameters of interest. We will use this data set to draw a sample of size 9 to illustrate several concepts of populations, samples and data. a. What is the population? (4 pts) All 18,000 Residents b. Define at least two parameters that could be calculated from this population data. (4 pts)

Average hours of sleep, standard deviation c. What is the value of the population mean (average)? Include units with your answer. (4 pts) 8.001 hours of sleep per night for residents over the age of 10 d. Is the value you listed in part c a parameter or a statistic? Explain. (4 pts) Parameter, because we used the whole population e. Take one sample of size 9. (4 pts) Under Sampling Options set the Number of samples to 1 and the Sample size to 9. Select Draw Samples . Record below the data values for your sample. Observation Value 1 7.500 2 8.139 3 8.611 4 7.944 5 8.333 6 7.917 7 7.722 8 7.889 9 9.167 f. What is the value of your sample mean? Include units. (4 pts) 8.136 hours of sleep per night for residents over the age of 10 g. Explain why the value calculated in part f is a statistic. (4 pts) Statistic, because you are only using a sample size of 9 rather than 18,000.

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