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rosijanka [135]
3 years ago
14

A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of

the following is/are true? (Select all that apply.)
a. sample of size n from the population has an equal chance of being selected.
b. Every member of the population has an equal chance of being included in the sample.
c. The simplest method of selection is used to create a representative sample.
d. Each subset of the population has an equal chance of being included in the sample.
e. Every sample of size n from the population has a proportionally weighted chance of being selected.
Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.                                            

Step-by-step explanation:

Simple random sampling:

  • It is a type of probabilistic sampling.
  • It is an unbiased representation of population.
  • The probability of selection is equal for every observation.
  • A sample is taken in such a way that each member has an equal probability of being selected.
  • A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
  • Thus,the correct interpretation is given by,

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.

  • c) The simplest method of selection is used to create a representative sample.

The statement is false.

There is no pattern or technique used for selection. The selection is purely random.

  • d) Each subset of the population has an equal chance of being included in the sample.

The statement is false.

Each object of the population has an equal chance of being included in the sample. and not each subset.

  • e) Every sample of size n from the population has a proportionally weighted chance of being selected.

The given statement is false.

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prisoha [69]
White, 7/10= 14/20
It has the largest chance of being selected at random
5 0
3 years ago
Your school wants to take out an ad in the paper congratulating the basketball team on a successful​ season, as shown to the rig
iogann1982 [59]

Answer:

x_1 =-14.43 in, x_2 = 2.426in

Since the measurement can't be negative the correct answer for this case would be x =2.426 in

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

A_i = 7 in *5 in = 35in^2

And we know that the initial area is a half of the entire area in red A_i = \frac{A_f}{2}, so then:

A_f = 2 A_ i =2*35 = 70

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

70 = (x+7) (x+5)

We multiply both terms using algebra and the distributive property and we got:

70 =x^2 +12 x +5

And we can rewrite the expression like this:

x^2 +12 x -35 = 0

And we can solve this using the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a = 1, b =12 and c=-35 if we replace we got:

x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}

And the two possible solutions are then:

x_1 =-14.43 in, x_2 = 2.426in

Since the measurement can't be negative the correct answer for this case would be x =2.426 in

3 0
3 years ago
At an electronic store, an air conditioner marked at 280$ was on sale at $259 what was the percentage of discount for the air co
Whitepunk [10]

Answer:

7.5%

Step-by-step explanation:

280 - 259 = 21

21 / 280 = 0.075 = 7.5%

6 0
2 years ago
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
Three vertices of parallelogram WZXY are W(-5, 2), X(2, 4) and Z(-7, -3). Find the coordinated of the vertex, Y.
Dominik [7]

Answer:

Y = (4,9)

Step-by-step explanation:

Given

W(x_1,y_1) = (-5, 2)

Z(x_4,y_4) = (-7, -3)

X(x_2,y_2) = (2, 4)

Required

Find Y

To do this, we make use of the mid-point formula

i.e.

M = \frac{1}{2}(x_n+x_m,y_n+y_m})

WX and ZY are the diagonals of the parallelogram.

The mid-point of WX is:

M = \frac{1}{2}(-5+2,2+4)

M = \frac{1}{2}(-3,6)

The mid-point of ZY is:

M = \frac{1}{2}(-7+x,-3+y)

Equate both values of M

\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)

Multiply both sides by 2

(-3,6) = (-7+x,-3+y)

By comparison:

-7 + x = -3

-3 + y = 6

-7 + x = -3

x = 7 -3

x = 4

-3 + y = 6

y = 6 +3

y = 9

Hence:

Y = (4,9)

3 0
2 years ago
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