# Need help with 10 Statistics Questions about the weight of football players

**Question description**

**Exhibit 8: **The
weight of football players is normally distributed with a mean of 200 pounds
and a standard deviation of 25 pounds.

13. Refer to **Exhibit
8**. The probability of a player weighing more than 275 pounds is

a. 0.4505

b. 0.0013

c. 0.0250

d. 0.9010

14. Refer to **Exhibit
8**. The probability of a player weighing more than 150 pounds is

a. 0.8413

b. 0.9772

c. 0.0528

d. 0.5000

15. Refer to **Exhibit
8**. What percent of players weigh between 175 and 225 pounds?

a. 28.81%

b. 0.5762%

c. 68.26%

d. 57.62%

16. Refer to **Exhibit
8**. What is the maximum weight of the middle 95% of the players?

a. 259

b. 151

c. 249

d. 190

**Exhibit 9:**
$6,000 is invested in Stock 1 and $4,000 in Stock 2. The expected percent
returns for the two stocks are 7% and 4%, respectively.

17. Refer to**
Exhibit 9**. What is the expected percent return of the portfolio?

a. 6.5%

b. 5.5%

c. 5.8%

d. 6.8%

18.
Refer to **Exhibit 9**. What is the expected return
in dollars for the portfolio?

a. $580

b. $650

c. $680

d. $550

**Exhibit 10: **It is known that a bottle of cologne has on average 3
ounces of content with the standard deviation of 0.10 ounces. A random sample
of 100 bottles is selected.

13. Refer to **Exhibit
10**. The standard deviation of the sample mean is

a. 0.3636 ounces

b. 0.0331 ounces

c. 4.0000 ounces

d. 0.0100 ounces

14. Refer to **Exhibit
10**. The likelihood that the average content of the 100 bottles is less than
2.99 ounces equals

a. 2.58%

b. 2.28%

c. 15.87%

d. 11.96%

15. Refer to **Exhibit
10**. The likelihood that the average content of the 100 bottles falls
between 2.97 and 3.03 ounces equals

a. 89.41%

b. 95.44%

c. 99.74%

d. 68.46%

**Exhibit 11: **In
a local university, 64% of the students live in the dormitories. A random
sample of 36 students is selected for a particular study.

16. Refer to **Exhibit
11**. The expected value of the sample proportion of students living in the
dormitories is

a. 0.16

b. 0.85

c. 0.08

d. 0.64

17. Refer to **Exhibit
11**. The standard deviation of the sample proportion of students living in
the dormitories is

a. 0.16

b. 0.36

c. 0.08

d. 0.64

18. Refer to **Exhibit
11**. The probability that the sample proportion of students living in the
dormitories is at least 0.52 equals

a. 0.0013

b. 0.9332

c. 0.9814

d. 0.5214

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