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Delicious77 [7]
3 years ago
6

A program exists to encourage more middle school students to major in math and science when they go to college. The organizers o

f the program want to estimate the proportion of students who, after completing the program, go on to major in math or science in college. The organizers will select a sample of students from a list of all students who completed the program. Which of the following sampling methods describes a stratified random sample? (A) Select all female students on the list. (B) Randomly select 50 students on the list. (C) Randomize the names on the list and then select every tenth student on the randomized list. (D) Randomly select 25 names from the female students on the list and randomly select 25 names from the male students on the list. (E) Randomly select 50 students on the list who are attending college.
Mathematics
1 answer:
matrenka [14]3 years ago
7 0

Answer:

Item (D)

Step-by-step explanation:

In the stratified random sample we would divide our population into homogeneous groups / strata and then  we randomly select the individuals in each group / stratum.

In general, when comparing with the simple  random sample, we realize that stratified random sampling has the advantage of increasing accuracy and decreasing  variability.

In the question, we have two strata: female students and male students. On each one of the  strata, a random sample of 25 names was made in the list.

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A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature
Westkost [7]

Answer:

(a) The value of <em>k</em> is \frac{1}{15}.

(b) The probability that at most three forms are required is 0.40.

(c) The probability that between two and four forms (inclusive) are required is 0.60.

(d)  P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 is not the pmf of <em>y</em>.

Step-by-step explanation:

The random variable <em>Y</em> is defined as the number of forms required of the next applicant.

The probability mass function is defined as:

P(y) = \left \{ {{ky};\ for \ y=1,2,...5 \atop {0};\ otherwise} \right

(a)

The sum of all probabilities of an event is 1.

Use this law to compute the value of <em>k</em>.

\sum P(y) = 1\\k+2k+3k+4k+5k=1\\15k=1\\k=\frac{1}{15}

Thus, the value of <em>k</em> is \frac{1}{15}.

(b)

Compute the value of P (Y ≤ 3) as follows:

P(Y\leq 3)=P(Y=1)+P(Y=2)+P(Y=3)\\=\frac{1}{15}+\frac{2}{15}+ \frac{3}{15}\\=\frac{1+2+3}{15}\\ =\frac{6}{15} \\=0.40

Thus, the probability that at most three forms are required is 0.40.

(c)

Compute the value of P (2 ≤ Y ≤ 4) as follows:

P(2\leq Y\leq 4)=P(Y=2)+P(Y=3)+P(Y=4)\\=\frac{2}{15}+\frac{3}{15}+\frac{4}{15}\\   =\frac{2+3+4}{15}\\ =\frac{9}{15} \\=0.60

Thus, the probability that between two and four forms (inclusive) are required is 0.60.

(d)

Now, for P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 to be the pmf of Y it has to satisfy the conditions:

  1. P(y)=\frac{y^{2}}{50}>0;\ for\ all\ values\ of\ y \\
  2. \sum P(y)=1

<u>Check condition 1:</u>

y=1:\ P(y)=\frac{y^{2}}{50}=\frac{1}{50}=0.02>0\\y=2:\ P(y)=\frac{y^{2}}{50}=\frac{4}{50}=0.08>0 \\y=3:\ P(y)=\frac{y^{2}}{50}=\frac{9}{50}=0.18>0\\y=4:\ P(y)=\frac{y^{2}}{50}=\frac{16}{50}=0.32>0 \\y=5:\ P(y)=\frac{y^{2}}{50}=\frac{25}{50}=0.50>0

Condition 1 is fulfilled.

<u>Check condition 2:</u>

\sum P(y)=0.02+0.08+0.18+0.32+0.50=1.1>1

Condition 2 is not satisfied.

Thus, P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 is not the pmf of <em>y</em>.

7 0
3 years ago
What the answer question now
dexar [7]

Answer:

UW=41

Step-by-step explanation:

the tangent line and the radius always meet at a right angle(90 degrees)

UWV is a right angle triangle, apply the Pythagorean theorem:

a²+b²=c² (a=40, b=9, c=UW)

40²+9²=c²

c=√40²+9²=√1600+81=√1681

c= 41

8 0
3 years ago
What are the factors of 78
Kitty [74]
The factors of 7 is <span><span>1, </span><span>2, </span><span>3, </span><span>6, </span><span>13, </span><span>26, </span><span>39, </span><span>78<span>.</span></span></span>
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3 years ago
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122+306 count by tens and ones to find the sum
olchik [2.2K]
1648851 is the answer
5 0
3 years ago
{[9 x (7.3+10.7)} - 5} + [3 x (7.8 - 6.8)}
otez555 [7]

Answer:

160.

Step-by-step explanation:

Work out the innermost parentheses first:

{[9 x (7.3+10.7)} - 5} + [3 x (7.8 - 6.8)}

= {[9 x 18} - 5} + [3 x 1}

= {162 - 5} + 3

= 160.

6 0
3 years ago
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