. For this question, use the 68-95-99.7 rule. A researcher has a colony

of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams.

a. Sketch a normal curve and label the axis using the mean and standard deviation. Be sure to label one, two, and three standard deviations on either side of the mean.

b. Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh between 7 grams and 13 grams?

c. Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh less than 9 grams?

d. Approximately 68% of all the spider weights would occur between what two weight values?

e. What is the z-score of a spider in this colony that weighs 15 grams?

f. What percent of spiders in the colony weigh more than 15 grams?