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max2010maxim [7]
3 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]3 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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y=-2/5x-2
y=5x+1
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hence the answer is a] (-0.5, -1.75)
3 0
3 years ago
James invests some money into an account that pays 4% compounded annually. If the account has $851.66 after 5 years, how much di
Charra [1.4K]

Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Step-by-step explanation:

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i hope this helps! :D comment if you need any clarification.

6 0
3 years ago
HELP ME PLEASE. Anson borrows some money from a bank at a rate of 10% simple interest for 1 year. Jenny borrows $1000 more then
kondaur [170]
$5000 is the correct answer.

The formula for simple interest is I=prt.  Anson gets 10% interest; 10% = 10/100 = 0.1.  This gives us
I=p(0.1)(1) = 0.1p.

Jenny borrows 1000 more than Anson, so her principal is p+1000.  Her rate is 8%; 8%=8/100 = 0.08.  She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40

Together they earned 740:
0.1p+0.04p+40 = 740

Combine like terms:
0.14p+40 = 740

Subtract 40 from both sides:
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0.14p = 700

Divide both sides by 0.14:
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p = 5000
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3 years ago
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valentina_108 [34]

Answer:

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Round to the nearest tenth=5.6

Round to the nearest Hundredths=5.63

Round to the nearest Thousandth=5.635

7 0
3 years ago
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