Determine the amount or number of something mathematically
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Answer:
The sampling distribution of x is N(118, 2.5).
Step-by-step explanation:
We have that:
The mean of the population is
The standard deviation of the population is .
(a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dL.)
The mean of the sampling distribution is the same as the mean of the population.
The standard deviation of the sampling distribution is the standard deviation of the population divided by the square root of the sample size. So
This means that the sampling distribution of x is N(118, 2.5).
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years.
<h3>How to determine the doubling time of money account</h3>
The <em>compound</em> interest takes into account the change of money deposited in time in contrast with the <em>simple</em> interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.
The <em>compound interest</em> formula is described below:
<em>C = C' · (1 + r/100)ⁿ</em> (1)
Where:
- r - Interest rate
- n - Number of periods
- C' - Initial money amount
- C - Current money amount
If we know that C = 2 · C' and r = 5.2, then the doubling time is:
n = /㏒ C/C'/㏒ (1 + r/100)
n = ㏒ 2/㏒ 1.052
n ≈ 13.674
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years.
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