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Darina [25.2K]
1 year ago
5

The city council hired three college interns to measure public support for a large parks and recreation initiative in their city

. The interns mailed surveys to 500 randomly selected participants in the current public recreation program. They received 150 responses.
Which of the following is the appropriate sampling frame in this scenario?

A. All members of the community
B. The 500 people who got the survey
C. All participants in the city's recreation program
D. The participants that support the initiative
E. The 150 people that responded
Mathematics
1 answer:
arsen [322]1 year ago
8 0

Answer:

C. All participants in the city's recreation program

Correct, since we are interested in all the participants in the city's recreation program

Step-by-step explanation:

Previous concepts

A sampling frame by definition is "a list of all the items in your population". Or a list of all the people that we want to study.

Taking in count this definition we can analyze one by one the possible options:

A. All members of the community

False we are interested just in all the participants in the city's recreation program

B. The 500 people who got the survey

False that represent the selected people but no represent the sampling frame, since we are interested in all the participants in the city's recreation program

C. All participants in the city's recreation program

Correct, since we are interested in all the participants in the city's recreation program

D. The participants that support the initiative

False we are not interested just in the participants that support the initiative, we want all the participants in the recreation program for the sampling frame

E. The 150 people that responded

False that represent the sample obtained not the sampling frame

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The population of Champaign, Illinois is given for three years in the table below:
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Answer:

See below

Step-by-step explanation:

a) <u>Using the first two lines to get the equation:</u>

Since t = 0 represents a start point, the y-intercept is 163488

<u>Slope is:</u>

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<u>And the equation:</u>

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b) Prediction of the population in 2012 using the function:

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Algebra. Find the variable in the equation 803 divided by 73=m
weeeeeb [17]

<u>Answer:</u>

The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.

<u>Solution:</u>

Need to find the variable in the given equation 803 divided by 73 = m

That means need to solve below expression to determine value of variable m.

\frac{803}{73}=m

So let’s solve left hand side to get the value of  m.

For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.

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The frequency distribution of weights (in kg) of 40 persons is given below.
gregori [183]

Answer: (a) 4

(b) 5

(c) 14

(d)

Class interval       Class mark

30 - 35                       \dfrac{35+30}{2}=32.5

35 - 40                       \dfrac{35+40}{2}=37.5

40 - 45                        \dfrac{40+45}{2}=42.5

45 - 50                        \dfrac{45+50}{2}=47.5

50 - 55                        \dfrac{50+55}{2}=52.5

Step-by-step explanation:

The data of 40 persons is given as :

Weights (in kg)    Frequency

30 - 35                  6

35 - 40                   13

40 - 45                   14

45 - 50                   4

50 - 55                  3

(a)

<em>Lower limit is the lowest number in a class interval .</em>

So, is the lower limit of fourth-class interval (45 - 50) is 4.

(b)

<em>Class size = Upper limit - lower limit </em>

So, Class size of first class interval = 35-30=5

Thus , class size of each interval is 5. [ class size remains same]

(c)

Highest frequency in table = 14 which is corresponding to 40 - 45   .

Thus , 40 - 45  is the class interval has the highest frequency.

(d)

<em>Class mark is the mid value of each class interval.</em>

<em>Class interval = </em>\dfrac{(\text{Upper limit+Lower limit})}{2}

Class interval       Class mark

30 - 35                       \dfrac{35+30}{2}=32.5

35 - 40                       \dfrac{35+40}{2}=37.5

40 - 45                        \dfrac{40+45}{2}=42.5

45 - 50                        \dfrac{45+50}{2}=47.5

50 - 55                        \dfrac{50+55}{2}=52.5

8 0
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