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

mu equals 17.91μ=17.91

mm and a standard deviation of

sigma equals 1.53σ=1.53

mm. Complete parts​ (a) through​ (d) below.Click here to view page 1 of the standard normal distribution table.

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Click here to view page 2 of the standard normal distribution table.

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a. Find the percentage of the tarantulas that have a carapace length between

1616

mm and

1717

mm. The percentage of the tarantulas that have a carapace length between

1616

and

1717

is

nothing​%.

​(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

1919

mm.The percentage of the tarantulas that have a carapace length exceeding

1919

is

nothing​%.

​(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

nothing.

​(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

nothing​%

greater than the smallest carapace length.

B.This first quartile means that

nothing​%

of the carapace lengths are less than

nothing.

C.This first quartile means that

nothing​%

of the carapace lengths are equal to

nothing.

D.This first quartile is

nothing​%

less than the average carapace length.The second quartile is

nothing.

​(Type an integer or decimal rounded to two decimal places as​ needed.)

Interpret the second 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 second quartile means that

nothing​%

of the carapace lengths are equal to

nothing.

B.This second quartile is

nothing​%

less than the average carapace length.

C.This second quartile is

nothing​%

greater than the smallest carapace length.

D.This second quartile means that

nothing​%

of the carapace lengths are less than

nothing.

The third quartile is

nothing.

​(Type an integer or decimal rounded to two decimal places as​ needed.)

Interpret the third 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 third quartile means that

nothing​%

of the carapace lengths are equal to

nothing.

B.This third quartile is

nothing​%

greater than the smallest carapace length.

C.This third quartile means that

nothing​%

of the carapace lengths are less than

nothing.

D.This third quartile is

nothing​%

less than the average carapace length.d. Obtain the

9595th

percentile for the carapace length of these tarantulas.The

9595th

percentile is

nothing.

​(Type an integer or decimal rounded to two decimal places as​ needed.)

Answer 1