The size of the last 12 graduating classes of a certain high school are given below. 227 239 215 219 221 233 229 233 235 228 245 231 Mean:  Median:  Standard Deviation:  Round each answer to the nearest tenth as needed.

A spinner has equal regions numbered 1 through 15.  What is the probability that the spinner will stop on an even number, or a multiple of 3?  Give your answer as a decimal, rounded to 4 places.

Assume that the weight loss for the first month of a diet program is normally distributed with a mean of 11 pounds and a standard deviation of 4 pounds.  Find the probability a randomly selected person loses between 10 and 14 pounds during the first month on the diet program.  Give an answer rounded to 4 decimal places.

Determine if each situation is an observational study or an experiment: The Community Intervention Trial for Smoking Cessation (COMMIT) asked whether a community-wide advertising campaign would reduce smoking. The researchers located 11 pairs of communities that were similar in location, size, economic status, and so on. One community in each pair participated in the advertising campaign and the other did not. A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on the fish.  The amount of toxin in the livers of the fish is measured and recorded.    What electrical changes occur in muscles as they get tired? Student subjects hold their arms above their shoulders as long as they can. Meanwhile, the electrical activity in their arm muscles is measured.  

How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?

Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease 85 7 Subject does not have the disease 28 153 If one of the results is randomly selected, what is the probability that it is a false positive (the test indicates the person has the disease when in fact they do not)?  Give your answer as a decimal rounded to 4 places.

Extra credit:  Earn 4 points extra credit The yield of a variety of wheat was measured on a series of small plots and was found to be approximately normal. The 2nd and 98th percentile were found to be 29 bushels/acre and 41 bushels/acre respectively. The standard deviation (bushels/acre) is approximately what? Hint:  Draw a sketch and mark the 2nd and 98th percentiles on the curve.  

Extra Credit:  Earn 5 points extra credit. Adult male grizzly bears have a mean weight of 500 pounds with a standard deviation of 50 pounds.  Adult female grizzly bears have a mean weight of 300 pounds with a standard deviation of 40 pounds.  Both populations are approximately normally distributed.   What would be the weight in pounds of a female grizzly bear with the same standardized score (z-score) as a male grizzly bear with a weight of 530 pounds?

For the following binomial distribution, give the minimum usual value and the maximum usual value.  Round your answers to two decimal places.                   n = 93, p = 0.24 minimum usual value maximum usual value

In a game, you have a probability of winning $85 and a probability of losing $4.  What is your expected value?  Round your answer to two decimal places.