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
Anna35 [415]
3 years ago
6

Mathematical Statistics with Applications Help Homework

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

7.43: Let X denote the random variable for height and \overline X for the sample mean. Then if \mu is the mean of

So the probability that the difference between the sample and population means does not exceed 0.5 inch is

P(|\overline X-\mu|\le0.5) = P\left(\left|\dfrac{\overline X-\mu}{0.25}\right|\le\dfrac{0.5}{0.25}\right) = P(|Z|\le 2) \approx \boxed{0.95}

per the empirical or 68/95/99.7 rule.

7.44: For a sample of size <em>n</em>, the sample standard deviation would be \frac{2.5}{\sqrt n}. We want to find <em>n</em> such that

P(|\overline X-\mu| < 0.4) = 0.95

Comparing to the equation from the previous part, this means we would need

\dfrac{0.4}{\frac{2.5}{\sqrt{n}}} = 0.16\sqrt n = 2 \implies \sqrt n = 12.5 \implies n = 156.25

so a sample of at least 157 men would be sufficient.

You might be interested in
What is 4 3/4 - 1/3 = in fraction form
pentagon [3]

Answer:

53/12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write the recurring decimal 0.05 as a fraction in its simplest form
lidiya [134]

Answer:

1/20

Step-by-step explanation:

Step 1: Write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.

In this case, 0.05 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. This will make it 5/100

Step 2: Then, this fraction can be simplified. 5/100 = 1/20

Thus, 0.05 as a fraction is written as 1/20

6 0
2 years ago
Read 2 more answers
Which statement is true of this function?
Eduardwww [97]

Answer:

  A.  As the value of x increases, the value of f(x) moves toward a constant

Step-by-step explanation:

An exponential function with a base less than 1 will decay to zero. Here, the exponential has -2 added to it, so the decay is toward the value -2.

An exponential function is defined for all real numbers. This one has a y-intercept of -1.

6 0
3 years ago
the diameter of a bike wheel is 25 inches. If the wheelmakes 20 Complete rotations, how far does the bike travel?
Iteru [2.4K]

Answer:

1571 in

Step-by-step explanation:

Given data

Diamter= 25 in

radius= 25/2= 12.5in

Circumference= 2πr

substitute

C=2*3.142*12.5

C=78.55in

In 1 revolution the bike will travel 78.55in

in 20 revolutions the bike will travel

=78.55*20

=1571 in

4 0
3 years ago
Help pls I don’t know this
makkiz [27]

Answer:

i don't know sorry im just answering so i could ask question

8 0
3 years ago
Read 2 more answers
Other questions:
  • Let a = 24, b = 12, and c = 4. Evaluate ac+bc .
    8·2 answers
  • 4. A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is
    7·1 answer
  • Which description is true about ​pre-image ABC​ and ​image A′B′C′​ ?
    8·1 answer
  • Please help! Will give Brainliest!
    13·1 answer
  • A spherical balloon is inflated so that its volume is increasing at the rate of 2 ft3/min. How rapidly is the diameter of the ba
    15·1 answer
  • A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B4%7D%20%20-%206%20%7Bx%7D%5E%7B3%7D%20%20%2B%2022%20%7Bx%7D%5E%7B2%7D%20%20-%2
    14·1 answer
  • Find the indicated variable in the trapezoid below.<br><br> NEED TO FIND x,y, and z
    7·1 answer
  • Geometry proofs<br> help me please :)
    8·1 answer
  • Solve for y.<br> 2x - y=10
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!