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
Korolek [52]
3 years ago
6

According to a recent​ survey, the population distribution of number of years of education for​ self-employed individuals in a c

ertain region has a mean of 15.1 and a standard deviation of 4.8.
a. Identify the random variable X whose distribution is described here.
b. Find the mean and the standard deviation of the sampling distribution of x overbar for a random sample of size 36. Interpret them.
c. Repeat​ (b) for nequals144. Describe the effect of increasing n.
Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

a)  X that is a distribution of number of years of education for​ self-employed individuals.

b) Mean = 15.1, Standard Deviation = 0.8

c) Mean = 15.1, Standard Deviation = 0.4

Step-by-step explanation:

We are given the following in the question:

The population distribution of number of years of education for​ self-employed individuals in a certain region has a mean of 15.1 and a standard deviation of 4.8

a) The random variable is X that is a distribution of number of years of education for​ self-employed individuals.

b) According to central limit theorem, as the sample size increases the distribution of means approaches a normal distribution.

Thus, \bar{x} has a normal distribution with

\text{Mean} = 15.1\\\text{Srtandard Deviation} = \displaystyle\frac{\sigma}{\sqrt{36}} = \frac{4.8}{\sqrt{36}} = 0.8

c) n = 144

\bar{x} has a normal distribution with

\text{Mean} = 15.1\\\text{Srtandard Deviation} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{4.8}{\sqrt{144}} = 0.4

By increasing n, the standard deviation for distribution of mean reduced  by one half. Therefore, we see that quadrupling the sample size will reduce the standard deviation by one half.

You might be interested in
(05.01 MC)
algol13

For the table, y = 9x.

 so the price of a short cake is $9


For the graph, y = 4x
so the price of a sweet bread is $4

9-4 = 5

 the short cake is $5 more than the sweet bread


5 0
3 years ago
Read 2 more answers
Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).
Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

8 0
3 years ago
Pablo has completed 44 deliveries so far this week. He needs to make 55 deliveries for the week. What
Dennis_Churaev [7]

Answer:

<h2>80%</h2>

Step-by-step explanation:

step one:

completed delivery = 44

total delivery to be made= 55

Step two

Required is the percentage completed

the formula is

=completed/total*100

=44/55*100

=0.8*100

=80%

Hence  Pablo has completed 80% of the deliveries so far

3 0
3 years ago
Mary earns $12.50 an hour cleaning houses if she works from 8:00 3:00 how much money will she make
irinina [24]
She earn 87.50 for that many hours
6 0
3 years ago
Read 2 more answers
A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
OlgaM077 [116]

Answer:

.52

Step-by-step explanation:

its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52

5 0
3 years ago
Other questions:
  • An equation of the line passing through points B and D is
    15·2 answers
  • Which two tables represent the same function?
    6·1 answer
  • Which of the following is the inverse of y = 3 Superscript x? y = StartFraction 1 Over 3 Superscript x Baseline EndFraction y =
    15·2 answers
  • if six times a number is decreased by six, the result is the same as when three times the number is increased by twelve. find th
    6·1 answer
  • X^2-7×+10 solve for quadratic formula.
    12·2 answers
  • I need help on this question please
    7·1 answer
  • How much time has passed?<br> Start time: 4:45 a.m. End time: 7:25 a.m.
    14·1 answer
  • Solve 14b^2 – 2 =–3b.​
    14·1 answer
  • Can someone help with this equation?
    14·1 answer
  • What is the value of the expression when y=5y=5 and z=3z=3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!