If 48% of the students in a certain college are female and there are 2,400 female students, how many students are male?

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

Answer:

2,600 male students

Step-by-step explanation:

$\frac{2,400}{0.48} = 5,000$

There are 5,000 students in total.

Since 2,400 of them are female, the remaining students must be male.

5,000 - 2,400 = 2,600 male students

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Mean = 5.7
Standard Deviation = 0.046

-----------------------

The mean is given to us, which was 5.7, so there's no need to do any work there.

To get the standard deviation of the sample distribution, we divide the given standard deviation s = 0.26 by the square root of the sample size n = 32
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Part B

The 95% confidence interval is roughly (3.73, 7.67)
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At 95% confidence, the critical value is z = 1.96 approximately

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ME = z*s/sqrt(n)
ME = 1.96*5.7/sqrt(32)
ME = 1.974949
The margin of error is roughly 1.974949

The lower and upper boundaries (L and U respectively) are:
L = xbar-ME
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Part C

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Margin of Error expression is z*s/sqrt(n)
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At 95% confidence, the critical value is z = 1.96 approximately

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U = upper limit
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