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Leni [432]
3 years ago
14

If you wanted to estimate the mean height of all students at a university, which of the following sampling strategies would be b

est? Why?
Note that none of the methods are true simple random samples.
a. Measure the heights of 50 students found in the gym during basketball intramurals.
b. Measure the heights of all engineering majors.
c. Measure the heights of the students selected by choosing the first name on each page of the campus phone book.
Mathematics
1 answer:
xenn [34]3 years ago
4 0

Answer:

c.

Step-by-step explanation:

Hello!

To take a sample to estimate the mean height of all students at a university and that the value you reach is statistically valid you need the sampling method to be random and representative of the whole population, in this example, all university students.

a. Measure the heights of 50 students found in the gym during basketball intramurals.

This method is not the best because you would be sampling only basketball players leaving all other students of the university outside, i.e. your sample will not be representative of all the students, just the ones that play basketball.

b. Measure the heights of all engineering majors.

This method is not good, the sample only represents engineering mayors meaning that it does not include the students of any other subjects.

c. Measure the heights of the students selected by choosing the first name on each page of the campus phone book.

With this method you choose students regardless of the sport or major they're are taking, it is more representative of the population of university students, of the three options, this is the best one.

I hope it helps!

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4 0
3 years ago
The athlete’s salary, in thousands, for the first two years is $400 and $400(1.05). Explain how to find her salary for each of t
enyata [817]
To find the salary for the next three years, we are going to use the formula for the nth term of a geometric sequence: a_{n}=a_{1}r^{n-1}
where
a_{n} is the nth term of the sequence 
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r is the common ratio 
n is the position of the term in the sequence 

To check if the values $400 and 400(1.05) for a geometric sequence, we are going to find their common ratio. To find the common ratio, we are going to use the formula r= \frac{a_{n} }{a_{n-1}}
where 
a_{n} is the current term in the sequence 
a_{n-1} is the previous term in the sequence

We can infer from our values, that the current term of the sequence is 400(1.5), so a_{n-1}=400(1.5). That leaves 400 as the previous term, so a_{n-1}=400. Lets replace those values in our formula to find r:
r= \frac{a_{n} }{a_{n-1}}
r= \frac{400(1.05)}{400}
r=1.05

Now that we have our common ratio, we can replace it in our formula for the nth term to find the athlete's salary for each of the next three years. Notice that the first term of our sequence is $400, so a_{1}=400
a_{n}=a_{1}r^{n-1}
a_{n}=400(1.05)^{n-1}
a_{3}=400(1.05)^{3-1}
a_{3}=400(1.05)^{2}
a_{3}=441

a_{4}=400(1.05)^{4-1}
a_{4}=400(1.05)^{3}
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a_{5}=400(1.05)^{5-4}
a_{5}=400(1.05)^4
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We can conclude that the athlete's salary for each of the next three years is: $441,$463.05,486.2025 respectively. Also, those vales for a geometric sequence because they share a common ratio, (1.05).
6 0
3 years ago
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scoray [572]

Answer:

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17.6 - 1.5 = 16.1

In problem 19 the largest value was 181 and the smallest was 14

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2 years ago
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6 0
3 years ago
ABC is similar to DEF. Find x.
san4es73 [151]
<h3>Answer:  25</h3>

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We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.

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