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Margin of Error and Interpreting Confidence Intervals

A health group study recommends that the total weight of a male student's backpack should not be more than 15% of his body weight. The following is a random sample of male students, recording their body weight and backpack weight (in pounds).

1. Calculate backpack weight as a percentage of body weight by typing =b2/a2 in cell C2, pressing return, then dragging the formula to cell C11. 2. Calculate the mean and standard deviation of these percentages. (Use one variable analysis Toolbar Image and show statistics).

3. Find the margin of error for the mean you calculated. To do this, use the formula .

4. What do the results of this study say about backpack weights?

These problems involve population proportions. To do this, use the formula:

MOE-Proportion

1. The school newspaper at a large high school reported that 120 out of 200 randomly selected students favor assigned parking spaces. Compute the margin of error. Interpret the resulting interval in context.

2. A newspaper in a large city asked 500 women the following: “Do you use organic food products (such as milk, meats, vegetables, etc.)?” 280 women answered “yes.” Compute the margin of error. Interpret the resulting interval in context.