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MrRa [10]
2 years ago
9

Find "n" if the Standard Error of M is 4 and the population standard deviation is 16.

Mathematics
1 answer:
ZanzabumX [31]2 years ago
3 0

Answer:

n = 16

Step-by-step explanation:

Givem that :

Population Standard deviation , σ = 16

Sample size, n =

Standard Error, S. E = 4

To obtain the standard Error, S. E, we use the relation :

S.E = σ / √n

4 = 16 / √n

√n * 4 = 16

Divide both sides by 4

(√n * 4) / 4 = 16 / 4

√n = 4

Square both sides

n = 4²

n = 16

Hence, Sample size = 16

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Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not
algol [13]

Answer:

If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

Step-by-step explanation:

Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

3 0
3 years ago
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3 years ago
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3 years ago
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3 years ago
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