A study finds that the carapace length of an adult spider is normally distributed with a mean of 17.36 mm and a standard deviation of 1.5 mm. Let x denote carapace length for the adult spider.
d. Find the z-scores that correspond to the percentage of adult spiders that have carapace lengths between 14 mm and 15 mm.
The percentage of adult spiders that have carapace lengths between 14 mm and 15 mm is equal to the area under the standard normal curve between____and ______. (Round to two decimal places as needed.)
e. Find the z-score and direction that corresponds to the percentage of adult spiders that have carapace lengths exceeding 19 mm. The percentage of adult spiders that have carapace lengths exceeding 19 mm is equal to the area under the standard normal curve that lies to the right of _________. (Round to two decimal places as needed.)
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