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lora16 [44]
3 years ago
10

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the size of a sample increa

ses, the standard deviation of the distribution of sample means increases. A. This statement is false. A true statement is, "As the size of a sample increases, the standard deviation of the distribution of sample means does not change." B. This statement is false. A true statement is, "As the size of a sample increases, the standard deviation of the distribution of sample means decreases." C. This statement is true. D. This statement is false. A true statement is, "As the size of a sample decreases, the standard deviation of the distribution of sample means decreases."
Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

B. This statement is false. A true statement is, "As the size of a sample increases, the standard deviation of the distribution of sample means decreases

Step-by-step explanation:

Standard deviation of distribution of sample means = \sigma_{m}

Sample size = n

Population standard deviation = \sigma

The formula to calculate the standard deviation of distribution of sample means is:

\sigma_{m}=\frac{\sigma}{\sqrt{n}}

From the above relation we can see that:

Standard deviation of the distribution of sample means is inversely related to the sample size. In inverse relation if one quantity increases the other will decrease. So, if the size of the sample is increased, the standard deviation of the distribution of sample means will Decrease.

Hence, the given statement is False. Therefore, the correct answer will be:

B. This statement is false. A true statement is, "As the size of a sample increases, the standard deviation of the distribution of sample means decreases"

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Please explain your answer. Thank you!
Liula [17]

Answer:

C

Step-by-step explanation:

Let length of rectangle be "l"

Let width of rectangle be "w"

We know,

LENGTH is 2 MORE THAN WIDTH, we can write:

l = w + 2

Also, note the perimeter is the sum of all 4 sides of a rectangle, thus:

length + width + length + width

Now,

The perimeter is given as 72, so we can write:

l + l + w + w = 72

2l + 2w = 72

We have 2 equations that we need to solve and find the length (l).

The first equation is:

l = w + 2

Rearranging, we have:

w = l - 2

We put this into 2nd equation and find the value of l:

2l + 2w = 72\\2l + 2(l-2) = 72\\2l+2l-4=72\\4l-4=72\\4l=76\\l=\frac{76}{4}\\l=19

The length is 19 meters, the correct answer is C

3 0
3 years ago
A map of Australia has a scale of 1cm : 110 km. If the distance between Darwin and Alice springs is 1444 kilometers, how far apa
goldenfox [79]
You divide 1444 kilometers by 110 kilometers to get x cm.

1444/110 = <span>13.127

x = 13.127 cm

hope this helps</span>
5 0
3 years ago
Given the function f(3) = 36 complete the following table​
frozen [14]
Okay so here we have the function f(x)=3x-6 if you plug in -2 to x you get -12 if you plug in -1 you get -9 and if you plug in 0 you get -6 add three each time
6 0
3 years ago
What is the probability of tossing a coin and getting a head 4 times in a row?
alexira [117]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
grin007 [14]

Answer:

\huge\boxed{SA=2466\ (mm^2)}

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

SA=2(lw+lh+wh)

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

<em />

We have:

l=39mm;\ w=12mm;\ h=15mm

Substitute:

SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)

5 0
3 years ago
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