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uranmaximum [27]
3 years ago
9

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide

nce that the sample mean is within $2 of the population mean, and the population standard deviation is known to be $60.
Mathematics
1 answer:
kari74 [83]3 years ago
8 0

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The information provided is:

<em>σ</em> = $60

<em>MOE</em> = $2

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the sample size as follows:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}

          =[\frac{1.96\times 60}{2}]^{2}

          =3457.44\\\approx 3458

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

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Simplify the integrand:

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Now integrate one term at a time.

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Putting everything together,

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2 years ago
Chris and Mikala each got a candy bar that were the same size. Chris cut his
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3 years ago
3.478 / 37 = ____ can someone explain how to do it I don't understand long division :,)
DiKsa [7]

Answer:

.094

Step-by-step explanation:

Long division is really annoying, so here we go. Have it written on your paper and follow along.

When doing long division, you want to ignore the decimal until the very end. So how many times does 37 fit into 34? It doesn't, so write a 0 on top. Instead ask how many times it can fit into 347. It can only fit 9 times, so write the 9 next to the 0. Now multiply 37 times 9, since it can fit in 9 times. Place that number (333) under the 347. Subtract that and write the new number underneath (14). Bring down the 8 and add it to the end of your new number (now 148). How many times does 37 fit into 148? It goes in 4 times perfectly. Write the 4 on top, and now multiply 4 times 37, since it goes in 4 times. Put that number (148) below the original 148, subtract, and they cancel out. You're done with the problem! Add the decimal back in. Since there 3 numbers after the decimal in 3.478, the decimal will go before 3 numbers in your answer. Hope this helped!

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3 years ago
A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number
Keith_Richards [23]

Answer:

x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.

Step-by-step explanation:

f(x) = −x² + 50x − 264

−x² + 50x − 264 = 0

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-x(x - 44) + 6(x - 44) = 0

(x - 44)(-x + 6) = 0

x = 6, 44

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