Use the following information for exercises 1 to 6. Suppose you want to know the variance of the weights of the only six snakes in a particular zoo. You measure their weights to be 8.3, 8.4, 8.6, 8.8, 9.2, and 9.5 pounds. 1. Calculate the mean for the population: = __________ 2. Fill in the following table: Weight Difference from the Mean () (Difference from the Mean)2 ()2 8.3 8.4 8.6 8.8 9.2 9.5 Total of the column: ()= ()2 = 3. Calculate the variance: 2 = ()2 = __________ 4. Now suppose those are the weights of six iguanas randomly selected from six different zoos. In that case, = from part (1). Calculate the variance of the sample: 2 = ()2 1 = __________ 5. The population standard deviation is the square root of the population variance. Calculate the population standard deviation using part (2): = 2 = ()2 = __________ 6. The sample standard deviation is the square root of the sample variance. Calculate the sample standard deviation using part (3):

= 2 = ()2 1 = __________