According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of

=18.36

mm and a standard deviation of

=1.63

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

16

mm and

17

mm.

The percentage of the tarantulas that have a carapace length between

16

and

17

is

enter your response here%.

(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

19

mm.

The percentage of the tarantulas that have a carapace length exceeding

19

is

enter your response here%.

(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

enter your response here.

(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 means that

enter your response here%

of the carapace lengths are equal to

enter your response here.

B.

This first quartile is

enter your response here%

greater than the smallest carapace length.

C.

This first quartile is

enter your response here%

less than the average carapace length.

D.

This first quartile means that

enter your response here%

of the carapace lengths are less than

enter your response here.

The second quartile is

enter your response here.

(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 is

enter your response here%

greater than the smallest carapace length.

B.

This second quartile is

enter your response here%

less than the average carapace length.

C.

This second quartile means that

enter your response here%

of the carapace lengths are equal to

enter your response here.

D.

This second quartile means that

enter your response here%

of the carapace lengths are less than

enter your response here.

The third quartile is

enter your response here.

(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 is

enter your response here%

greater than the smallest carapace length.

B.

This third quartile means that

enter your response here%

of the carapace lengths are less than

enter your response here.

C.

This third quartile means that

enter your response here%

of the carapace lengths are equal to

enter your response here.

D.

This third quartile is

enter your response here%

less than the average carapace length.

d. Obtain the

95th

percentile for the carapace length of these tarantulas.

The

95th

percentile is

enter your response here.

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