statistics

1. When designing motorcycle helmets, the breadth of a person's head must be considered. Men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. If one male is randomly selected, what is the probability that his head breadth is less than 6.2 inches?
a. 0.5793****
b. 0.4207
c. 0.2
d. 0.8078

2. For women aged 18-24, systolic blood pressures (in mm hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. If 4 women in that age bracket are randomly selected, find the probability that their mean systolic blood pressure is greater than 140.
a. 0.0001****
b. 0.9999
c. 0.0274
d. 0.9726

3. A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting 30 values and getting a mean greater than 3.6.
a. 0.9991
b. 0.7157
c. 0.2843
d. 0.0009****

4. A woman is randomly selected from the 18-24 age group. For woman of this group, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. What is the probability this woman has a systolic blood pressure greater than 140?
a. 0.9726
b. 0.0274****
c. 1.92
d. 0.8665

5. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability of randomly selecting a pregnant woman whose length of pregnancy is less than 260 days?
a. 0.2981****
b. 0.7019
c. 0.8186
d. 0.1814

6. American women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. What is the probability of randomly selecting 150 women with a mean height greater than 64.0 inches?
a. 0.9750
b. 0.0250****
c. 0.5636
d. 0.4364

7. Currently, quarters have weights that are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g. A vending machine is configured to accept only those quarters with weights between 5.550 g and 5.790 g. If 280 different quarters are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.550 g and 5.790 g.
a. 0.0002
b. 0.9476
c. 0.9998****
d. 0.0524

8. Assume that the population of human body temperatures has a mean of 98.6, as is commonly believed. Also assume that the population standard deviation is 0.62. If a sample of size n=106 is randomly selected, find the probability of getting a mean temperature of 98.2 or lower.
a. 0.0001****
b. 0.9999
c. 0.2578
d. 0.4800

9. Membership in Mensa requires an IQ score above 131.5. Nine candidates take IQ tests, and their summary results indicate that their mean IQ score is 133. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If one person is randomly selected from the general population, find the probability of getting someone with an IQ score of at least 133.
a. 0.9861
b. 0.0139****
c. 0.8810
d. 0.1190

10. A set of normally distributed data has a mean of 485 and a standard deviation of 11.6. Find the probability of randomly selecting 40 values and getting a mean less than 490.
a. 0.0032
b. 0.9968****
c. 0.6664
d. 0.8389

  1. 👍 1
  2. 👎 0
  3. 👁 1,249
  1. All your questions can be answered with this:

    davidmlane.com/normal.html

    1. 👍 2
    2. 👎 2
  2. Tysm for that link, Reiny!!

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.0m/s , and the distance between them is 52.0m . After t1 =

  2. science- physics

    A car is traveling at a steady 90 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.3 m/s/s.How much time elapses before the motorcycle is moving as fast as the car?

  3. Statistics

    Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have

  4. math(epidemiology)

    A population of 100 healthy men was followed for the development of prostate cancer. After being followed for 5 years, 20 men developed prostate cancer. Ten other men were followed for 1 year and then were lost to follow-up. The

  1. Physics

    During a car crash a 65kg person's head goes from traveling at 50km h-1 to stationary in 0.15s. (a)What is the magnitude of the average net force acting on the head of a person with a 4.5kg head? (b)How does this compare with the

  2. Physics

    292 kg motorcycle is accelerating up a ramp that is 30 degrees above the horizontal. Propulsion force pushing the motorcycle up ramp is 3150 N. Air resistance produces a force of 250 N that opposes the motion. Find that

  3. physics

    A motorcycle traveling 91.0 km/hr approaches a car traveling in the same direction at 83.0 km/hr. When the motorcycle is 52.0 m behind the car, the rider accelerates and passes the car 16.0 s later. What is the acceleration of the

  4. physics

    A 62kg person lies flat on uniform plank of mass 15kg.The plank, with the person lying on it,is placed on a brick at the head and a bathroom scale at the foot,both under the plank.The persons toe to head dist is 1.56m.The length

  1. linear-equations-in-one-variable

    the length of a rectangle exceeds its breadth by 4 cm. if length and breadth are each increased by 3 cm, the area of the new rectangle will be 81 cm sqsq morthan that of the given rectangle. find the length and breadth of the

  2. Stat

    The army reports that the distribution of head circumfererence among soldiers is approximately Normal with mean 22.8 inches and standard deviation 1.1 inches. Helmets are mass produced for all except the smallest 5 % and the

  3. Math

    6. A motorcycle purchased for $12,500 today will be valued 7% less each year. How much could you expect to receive for the motorcycle at the end of 4 years if you wanted to sell it

  4. Physics

    A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 21.5 m/s , and the distance between them is 52.0 m . After t1

You can view more similar questions or ask a new question.