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max2010maxim [7]
4 years ago
15

Suppose we have a population that does not follow the normal distribution. What minimum sample size we should select in order to

have an approximately normal distribution (symmetric)? A. more than 10% of population size . B. it is based on population standard deviation C. 20 D. 30
Mathematics
1 answer:
Pepsi [2]4 years ago
5 0

Answer:

D. 30

Step-by-step explanation:

Having a population that doesn't follow normal distribution (skewed) can still have sampling distribution that is completely normal. This fact is presented in the Central Limit Theorem.

Central Limit Theorem: states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, we just need to take a large sample.

So how much sample size do we need?

There is no straight forward answer to this rather we have to analyse the situation closely!

1. If the population distribution is already normal then a smaller sample size would be enough to ensure normal distribution.

2. If the population distribution is very skewed than a larger number of sample size is needed to ensure normal distribution. The rule of thumb is to take sample size equal to or more than 30 to be on safer side. This is the case in this problem hence option D fits the best.

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Use the rectangle to the right. Write your answer in simplest form.
DochEvi [55]

Answer:

perimeter: 12x-6

area: 6x-10

Step-by-step explanation:

PERIMETER:

6x-5(2)+2(2)

12x-10+4

12x-6

AREA:

6x-5•2

6x-10

4 0
3 years ago
Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given
ira [324]

Answer:

T(3u+2v)=(-10,29)

Step-by-step explanation:

T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

T(3u+2v)=T(3u)+T(2v)=3T(u)+2T(v)=3(-2,5)+2(-2,7)=(-6,15)+(-4,14)=(-10,29)

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.

8 0
3 years ago
Need help plz answer correctly Will mark brainlest
Lina20 [59]
0.4%
4/5
8/25
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Hope this helps :3

3 0
3 years ago
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A container contains water at temperature 80 degree celcius. After every 10 minutes, the change in temperature is - 4 degree cel
lilavasa [31]
For this case, the first thing we must do is define variables.
 We have then:
 x: number of minutes
 y: final temperature
 We write then the equation that models the problem:
 y = (-4/10) x + 80

 For y = 20 we have:
 20 = (-4/10) x + 80

 Clearing x:
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x = (10/4) * 60

x = 150
 Answer:
 
The temperature of the water will be 20 degree celcius after 150 minutes
4 0
3 years ago
What would be the second step in solving the equation y−16=3y?
stiv31 [10]

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

3 0
3 years ago
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