What is the z-score of a spider in colony

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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. Upload a picture of your work.

(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?

Reference no: EM132851430

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