1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ludmilkaskok [199]
2 years ago
11

Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights

of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams. Assume that birth weight data are approximately bell-shaped. Part 1 of 3 (a) Estimate the number of newborns whose weight was less than 4171 grams. Approximately of the 732 newborns weighed less than 4171 grams. Part 2 of 3 (b) Estimate the number of newborns whose weight was greater than 1591 grams. Approximately of the 732 newborns weighed more than 1591 grams. Part 3 of 3 (c) Estimate the number of newborns whose weight was between 3311 and 5031 grams. Approximately of the 732 newborns weighed between 3311 and 5031 grams.
Mathematics
1 answer:
Fed [463]2 years ago
5 0

Answer:

a) 615

b) 715

c) 344

Step-by-step explanation:

According to the Question,

  • Given that,  A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams

  • Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.

Z = (x - mean)/standard deviation

Now,

For x = 4171,  Z = (4171 - 3311)/860 = 1  

  • P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.

Next, multiply that by the sample size of 732.

  • Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171  

 

  • For part b, use the same method except x is now 1591.    

Z = (1581 - 3311)/860 = -2    

  • P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.

 

  • For part c, we now need to get two Z scores, one for 3311 and another for 5031.

Z1 = (3311 - 3311)/860 = 0

Z2 = (5031 - 3311)/860= 2  

P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772

  approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.

You might be interested in
What is the slope and y intercept of (-3,0),(2,-3)?
irina1246 [14]
So the pattern is x,y so the left is x and the right is y. Just graph it
4 0
3 years ago
Marking brainliest!<br><br> Is the number, 9812 divisible by 3? Yes or no
EleoNora [17]

Answer:

no

Step-by-step explanation:

I goo.g.led, sorry me dum lol

5 0
2 years ago
Read 2 more answers
To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
docker41 [41]

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

5 0
3 years ago
What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?
Alex17521 [72]

Answer:

(-10,8)

Step-by-step explanation:

So our original point is (-6,9).

A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.

A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.

Therefore, the new point would be:

(-6-4,9-1)\\=(-10,8)

6 0
3 years ago
What is the area of the regular hexagon shown?
andreyandreev [35.5K]

Answer:

584.57

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • In the science club, 1/2 the students are freshman, 1/20 are sophomores, 1/10 are juniors, and 70 students are seniors. How many
    14·1 answer
  • Triangle has an area of 54cm2 and a height of 9m. How long is the base?
    7·1 answer
  • Toby wants to find the volume of a solid toy soldier.
    13·1 answer
  • Ned counts by fives . he starts at 80 . which number should he say next ?
    6·1 answer
  • Line d is parallel to line c in the figure below Which statements about the figure are true? Select three options
    10·1 answer
  • Translate this sentence into an equation.
    8·1 answer
  • A person has a rectangular garden with a width of 5 feet and a length of 7 feet. To form a border of uniform​ width, he plans to
    12·1 answer
  • 20 points
    15·1 answer
  • I don't know how to do these<br>need help​
    11·1 answer
  • Which of the following is NOT an irrational number?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!