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