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
ella [17]
2 years ago
9

1) Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 5 i

nches.
a)
What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.)
b)
If a random sample of twenty-six 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.)
c)
Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?
!) The probability in part (b) is much higher because the mean is larger for the x distribution.
!!) The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.
!!!) The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
!!!!) The probability in part (b) is much higher because the mean is smaller for the x distribution.
!!!!!) The probability in part (b) is much higher because the standard deviation is larger for the x distribution.
2) Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean = 66 and estimated standard deviation = 45. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.
a)
What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.)
b)
Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? Hint: See Theorem 6.1.
!) The probability distribution of x is approximately normal with x = 66 and x = 45.
!!) The probability distribution of x is approximately normal with x = 66 and x = 22.50.
!!!) The probability distribution of x is approximately normal with x = 66 and x = 31.82.
!!!!) The probability distribution of x is not normal.

c) What is the probability that x < 40? (Round your answer to four decimal places.)
d) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)
e) Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)
f) Compare your answers to parts (a), (b), (c), and (d). Did the probabilities decrease as n increased?
Yes
NO
g) Explain what this might imply if you were a doctor or a nurse.
!) The more tests a patient completes, the weaker is the evidence for lack of insulin.
!!) The more tests a patient completes, the stronger is the evidence for lack of insulin.
!!!) The more tests a patient completes, the weaker is the evidence for excess insulin.
!!!!) The more tests a patient completes, the stronger is the evidence for excess insulin.
Mathematics
1 answer:
Luba_88 [7]2 years ago
3 0

Answer:

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 4 inches.

(a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.)

z1 = (70-71)/4 = -0.25

z2 = (72-71/4 = 0.25

P(70<X<72) = p(-0.25<z<0.25) = 0.1974

Answer: 0.1974

(b) If a random sample of thirteen 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.)

z1 = (70-71)/(4/sqrt(13)) = -0.9014

z2 = (72-71/(4/sqrt(13)) = 0.9014

P(70<X<72) = p(-0.9014<z<0.9014) = 0.6326

Answer: 0.6326

please mark me the brainiest

You might be interested in
20 PTS QUICK QUICK PLEASE! 1 MINUTE ONLY! WITH EXPLANATION PLEASE! ANSWER 3 QUESTION AND YOU WILL BE THE BRAINLIEST!
Vesnalui [34]

1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.

A = 8 x 3

2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.

A = (8 x 12) + (5 x 12)

3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.

Triangles = 8 x 3 = 24

Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156

Surface area = 24 + 156 = 180 square centimeters

Hope this helps! :)

6 0
2 years ago
What does the constant term in the polynomial 4x2 + 9 represent?
shusha [124]

Answer:

The constant in the polynomial is 9. A constant number is a number that does not change during the equation. This equation is 4x² + 9. Since you are just adding 9 the number of 9 does not change. If you were multiplying 9 it would not be a constant anymore because it does not stay the same throughout the equation.

Hope This Helps :)

3 0
3 years ago
GIVING OUT BRAINLIST ASAP
rosijanka [135]

Answer:

$276.25

Step-by-step explanation:

325 * 0.85 = 276.25

5 0
2 years ago
Read 2 more answers
Each square below represents one whole.
geniusboy [140]

Answer:

???69

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Jessica and nancy are members of different video game libraries. jessica pays a membership fee of $40, and she pays $50 for ever
Nutka1998 [239]

It would be 10 because With Nancy, y=4x+30, 30 is the membership fee which is 10 less than Jessicas membership fee of 40.

7 0
3 years ago
Other questions:
  • How do you find the area of a triangle
    14·1 answer
  • 90% as a decimal rounded to the thousands place
    8·2 answers
  • Solve the equation using square roots: 2x²-17 = 15
    15·1 answer
  • Can the absolute value of -4 be 1/4
    5·2 answers
  • -1/3,-1,-3,-9,-27 what's the next number pattern
    5·2 answers
  • What is the absolute value of 3 squared?<br> NO LINKS I NEED THE ANSWER QUICK PLEASE IF YOU CAN
    14·1 answer
  • Someone plz help me i really need help with this
    5·2 answers
  • An animal shelter currently has 20 cats and 25 dogs. what is the ratio of cats to dogs? (PLEASE ANSWER QUICKLY)
    9·1 answer
  • Between what two consecutive integers is each number located on the number line -1.1
    13·1 answer
  • Old Granny Adams left half her money to her granddaughter and half that amount to her grandson. She left a sixth to her brother,
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!