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o-na [289]
2 years ago
10

Answer number 20. Please answer all parts to the question.

Mathematics
1 answer:
emmasim [6.3K]2 years ago
5 0
1: 7
2: Yes, 20 because it’s isolated from the rest of the points
(I don’t know the other ones, sorryyyyy)
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To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data
nexus9112 [7]

Answer:

a) \sigma = 0.167

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

This Zscore is how many standard deviations the value of the measure X is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of \mu. So X - \mu = 0.5 must have Z = 3 and X - \mu = -0.5 must have Z = -3.

So

Z = \frac{X - \mu}{\sigma}

3 = \frac{0.5}{\sigma}

3\sigma = 0.5

\sigma = \frac{0.5}{3}

\sigma = 0.167

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that \sigma = 2.8

The standard deviation of a sample of n young man is given by the following formula

s = \frac{\sigma}{\sqrt{n}}

We want to have s = 0.167

0.167 = \frac{2.8}{\sqrt{n}}

0.167\sqrt{n} = 2.8

\sqrt{n} = \frac{2.8}{0.167}

\sqrt{n} = 16.77

\sqrt{n}^{2} = 16.77^{2}

n = 281.23

We need a sample of at least 282 young men.

6 0
3 years ago
2 fractions have the same denominator. Which is the greater fraction: the fraction with the greater numerator or thr lesser nume
irinina [24]
If two fractions have the same denominator, that means the total number of parts is the same.  For example, you have two batches of cookies, which each have 8 cookies.

But the numerator tells you the number of parts you are dealing with.  Going back to our cookie example, say you ate 3 cookies and your little brother only had 1.  If you ate 3 cookies, you ate 3/8 of the cookies.  Your little brother ate 1/8 of the cookies.

So, which one is the greatest fraction?  In this case, who had more cookies?  That would be you.  So, the greater numerator means a greater fraction.

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3 years ago
If f(x) = x + 3 and g(x) = -7x + 7, which statement is true? Click on the correct answer. 5 is in the domain of fºg. 5 is not in
Studentka2010 [4]

Answer:

man you got this

Step-by-step explanation:

If f(x) = x + 9 and g(x) = 9x – 4, - 22024651. ... Click on the correct answer. 3 is not in the domain of fºg. 3 is in the domain of fºg. 1. See answer. Add answer+5 pts ... Answer: 3 is in the domain of f(g(x)). Step-by-step explanation: ... What is the domain of the given function? a) {x | x = –6, –1, 0, 3}; {y | y = –7, –2, ...

The domain is all real numbers except 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.

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Which is greater between 222³³³ or 333²²²
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what  are you trying to ask?

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