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allsm [11]
3 years ago
12

Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. T

he distribution of the population is unknown. the mean and the standard error of the mean are?
Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

the  mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population  is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

\mu = \bar \mu_x = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}

\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}

\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}

\mathbf{standard \ error \ of \ mean =2}

Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.

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500g:3kg.Give answer in lowest term​
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

500g:3,000g

So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.

Final Simplified Ratio: 1g:6g

Hope this helped :)

5 0
3 years ago
The product of four different positive integers is 100. What is the sum of these four integers?
Leno4ka [110]

Step-by-step explanation:

The Answer for the above question is

The four integers are 1,2,5,10. And Sum of the four integers is 18 .

<u>Method : </u>

Product of four different positive integers is 100 .

<u>First</u> of all lets break the number "100"

 ⇒  100 = 50*2

 ⇒ 100 = 25 * 2 * 2

  ⇒ 100 = 5 * 5 * 2 * 2

But here we get the same  integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2  which is 10.

Let's get to the possible combination -

  After merging 5*2 = 10 we get the answer as -

 ⇒ 100 = 1 * 2 * 5 * 10

 Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .

Sum of these products is -

   ⇒ Sum = 1 + 2 + 5 + 10

  ⇒  Sum = 18 .

Sum of these four Integers is 18.

5 0
3 years ago
The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.
UkoKoshka [18]

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

7 0
3 years ago
sally can paint a room in 7 hours while it taks steve 9hours to finsh the same room. how ling will it take them to paint if they
Nata [24]
How much part can sally paint in an hour ?
a ÷ 7 = a/7

And what about Steve ?
a ÷ 9 = a/9

Where, a is the total area of the room.

So, let the time taken by both of them to paint the room together be 't'

So,
t(a/7 + a/9) = a
t(9a/63 + 7a/63) = a
t(16a/63) = a
t = 63/16 ≈ 4 hr
6 0
3 years ago
Read 2 more answers
If the standard deviation of a data set was originally 8, and if each value in the data set was multiplied by 8.5, what would be
maxonik [38]

Answer:

D. 68 (APEX).........................................................................................

6 0
3 years ago
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