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Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard devlation of 1. Find the probability that a given score is between - 2.19 and 3.78 and draw a sketch of the region

Sketch the region. Choose the correct graph below.

O A.

О B.

@

Q

O c.

@

2.19 3.78

2.19

3.78

-2.19

3.78

-2 19

3.78

The probability is

(Round to four decimal places as needed.)

Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find , the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%.

Which graph represents ? Choose the correct graph below.

(Please see the attachment)

The bone density score corresponding to is ____.

(Round to two decimal places as needed.)

Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find Po, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%.

Which graph represents P,? Choose the correct graph below

O A

Q

• B.

O с

C

@

The bone density score corresponding to Pg is

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of = 1.4 kg and a stand:

= 5.2 kg. Complete parts (a) through (c) below.

a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.

The probability is ____

(Round to four decimal places as needed.)

b. If 4 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg.

The probability is ____

(Round to four decimal places as needed.)

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

◯ A. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size.

◯ B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

◯ C. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any 

◯ D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.