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 [b]=b2/a2[/b] in cell C2, pressing [b]return[/b], then dragging the formula to cell C11.[br]2. Calculate the mean and standard deviation of these percentages. (Use [b]one variable analysis[/b] [icon]/images/ggb/toolbar/mode_onevarstats.png[/icon] and show statistics).[br]3. Find the margin of error for the mean you calculated. Remember, this is a sample mean, so we use the formula [math]M=2\left(\frac{s}{\sqrt{n}}\right)[/math].[br]3. What do the results of this study say about backpack weights?
These problems involve population [b]proportions[/b] so remember to use the formula:[br][math]M=2\sqrt{\left(\frac{p\left(1-p\right)}{n}\right)}[/math][br]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.[br]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.