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MariettaO [177]
3 years ago
8

Suppose that in a random sample of size 200, standard deviation of the sampling distribution of the sample mean 0.08. researcher

wanted to reduce the standard deviation to 0.04. what sample size would be required?
Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

400

Step-by-step explanation:

The computation of the sample size needed is shown below:

Since at the sample size of 200 there is a standard deviation of 0.08

But when the standard deviation is 0.04 so the sample size is 400

As sample standard deviation would be inversely proportional to the square root of the sample size

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The amount for the investment of $6000 will be a.$6369  b. $6090  and c.$6030.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

A=P[1+\dfrac{r}{n}]^{nt}

a) The amount in the bank after 6 years if interest is compounded annually.

A=P[1+\dfrac{r}{1}]^{t}\\\\\\A=6000[1+\dfrac{0.01}{1}]^{  6}

A= $6369

b) The amount in the bank after 6 years if interest is compounded quarterly.

A=P[1+\dfrac{r}{4}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{4}]^{4\times 6}

A= $6090

c ) The amount in the bank after 6 years if interest is compounded monthly.

A=P[1+\dfrac{r}{12}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{12}]^{12\times 6}

A=$6030

Hence the amount for the investment of $6000 will be a.$6369  b. $6090  and c.$6030.

To know more about Compound interest follow

brainly.com/question/24924853

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2 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
zhuklara [117]

Answer:

For the cost from the two methods to be equal, 3,200 books have to be produced

Step-by-step explanation:

In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.

Since the number of books is something we do not know, let’s represent it with a variable called c.

For the first production method, the cost of production will be ; 58,881 + 8.50c

For the second production method, the cost of production will be; 18,081 + 21.25c

Now since they are said to be equal, we proceed to equate both;

58,881 + 8.5c = 18,081 + 21.25c

58,881-18,081 = 21.25c - 8.5c

40,800 = 12.75c

c = 40,800/12.75

c = 3,200 books

4 0
2 years ago
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Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

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2 years ago
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Answer:

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