Question

According to a recent​ study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of μ=17.13 mm and a standard deviation of sigma equals 1.69 (σ=1.69)mm. Complete parts​ (a) through​ (d) below.

a. Find the percentage of the tarantulas that have a carapace length between 15 mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is ___%. ​(Type an integer or decimal rounded to two decimal places as​ needed.)

b. Find the percentage of the tarantulas that have a carapace length exceeding 18 mm. The percentage of the tarantulas that have a carapace length exceeding 18 is ___​%. ​(Type an integer or decimal rounded to two decimal places as​ needed.)

c. Determine and interpret the quartiles for the carapace length of these tarantulas. The first quartile is ___. ​(Type an integer or decimal rounded to two decimal places as​ needed.) Interpret the first quartile.

Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Type integers or decimals rounded to two decimal places as​ needed.)

A. This first quartile is ___% less than the average carapace length.

B. This first quartile means that ___​% of the carapace lengths are less than nothing.

C. This first quartile means that ___% of the carapace lengths are equal to nothing.

D. This first quartile is___% greater than the smallest carapace length.

Answer 1