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
Anna11 [10]
3 years ago
8

According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a

standard deviation of LaTeX: \sigma = 0.75σ = 0.75. You plan to take a random sample of 110 households, what is the probability the sample mean household size is between 2.5 and 2.66 people? (round your probabilities to three decimal places)
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

You might be interested in
What is the equation of a horizontal line that passes through the point (3,-5)?
Kryger [21]

your answer for this question is y=c hope this helps

5 0
2 years ago
Find f(1) if f(x)=5^x
dolphi86 [110]

Answer:

The value of function for x = 1 , y = 5 i.e  f(1) is 5  

Step-by-step explanation:

Given as :

f(x) = 5^{x}

Now from the function the value of y depend on the value of x

So , for x = 1

I.e  f(1) = 5^{1}

Or,  f(1) = 5

Hence The value of function for x = 1 , y = 5 i.e  f(1) is 5   Answer

4 0
3 years ago
PLEASE HELP! ASAP! WILL MARK BRAINLIEST IF CORRECT!!!!!
Volgvan

Answer:

D.............................................

Step-by-step explanation:

im sorry if im wrong

6 0
2 years ago
Given the line 2y=−3x+5 , determine the relationship to the line below. Is it perpendicular, parallel, intersecting (but not per
aliya0001 [1]

Answer:

  coinciding

Step-by-step explanation:

If you divide the second equation by 3, you get the first equation. They describe the same line, so the lines are <em>coinciding</em>.

6 0
3 years ago
A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism ha
Deffense [45]
The volumes will be the same, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer? Please show work if possible.
    14·2 answers
  • Enter an inequality that represents the graph in the box.
    15·1 answer
  • Factor the expression x2 - 49.<br> A. 7(x² – 7)<br> B. 7.(2-7)<br> C. 2+7(2-7)<br> D. (x + 7)(x-7)
    7·1 answer
  • What's the answer ??????
    15·1 answer
  • Determine the wavelengths of all the possible photons that can be emitted from the n = 5 state of a hydrogen atom.
    12·1 answer
  • Prove that sinxtanx=1/cosx - cosx
    14·1 answer
  • Find the difference. Write you answer in simplest form.<br> 9/10 - 4/10
    15·1 answer
  • can you please help me with this question and whoever gives me the right answer will be called brainliest ​
    14·1 answer
  • How would you describe the tick marks on the number line between the tenths?
    7·1 answer
  • Solve for s.<br> S-10/-1=0<br> S=
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!