# Random Assignment & Experiments

Suppose we want to investigate whether or not the expression “An apple a day keeps the doctor away” has any validity for Nazareth College students. In other words, you want to investigate whether or not eating apples has any health benefits. For your participants, you take our MTH 207 class (28 people).  You plan to assign half of them to an Eating an Apple a Day group and the other half to a No Apple Eating group. You count how many times during the semester each participant visits the doctor. We also collect the following data from each participants: whether or not they exercise more than an hour each day, the amount of water (in ounces) they drink daily, and the amount of sleep (in hours) per night they get.

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Directions

• Go to this Google Sheets. You will be force to make a copy.  Make a copy and save it to your Google drive.
• Once the Google Sheets is saved, select the data in the sheet. Go to the Data Tab and select Randomize Range. The first half of the observational units will be assigned to Eating an Apple Daily group; the last half of the observational units will be in the No Apple Eating This will count as our procedure to randomly assign participants to the two groups. (see video for more help on this).
• Determine the answers for 2a-d and 3a-d by using this applet.
• Make sure you jot down your answers for 1a-d, 2a-d, 3a-d as you will need enter these into this form after completing the task.

Questions  (view video to show you how to do this)

1. Exercise
2. Calculate the proportion of people who exercise more than an hour in the Eating an Apple Daily
3. Calculate the proportion of people who exercise more than an hour in the No Apple Eating
4. Subtract these two proportions taking the Eating an Apple Daily group’s proportion minus the No Apple Eating group’s proportion.
5. Are these two groups identical with regard to the variable Exercise? Are they similar?

1. Water Amount
2. Calculate the average amount of water people drink in the Eating an Apple Daily
3. Calculate the average amount of water people drink in the No Apple Eating
4. Subtract these two averages taking the Eating an Apple Daily group’s mean water amount minus the No Apple Eating group’s mean water amount.
5. Are these two groups identical with regard to the variable Water Amount? Are they similar?

1. Sleep
2. Calculate average amount of sleep people get per night in the Eating an Apple Daily
3. Calculate average amount of sleep people get per night in the No Apple Eating
4. Subtract these two averages taking the Eating an Apple Daily group’s mean sleep amount minus the No Apple Eating group’s mean sleep amount.
5. Are these two groups identical with regard to the variable Sleep? Are they similar?

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