Question

In: Statistics and Probability

A study was conducted on a sample randomly selected from city A. The results are presented...

A study was conducted on a sample randomly selected from city A. The results are presented in

the table. Based on the information in the table answer the below questions:

Age groups Number of participants Proportion of female Relative frequency of

participants

15 years or younger 10 0.4  

16-25 years 25 0.6  

26-30 years 10 1.0  

31 years or older 2 1.0  

Are the age groups mutually exclusive?

Based on the number of participants, can you argue for or against this sample being

representative of the age groups in city A?

How many males and females were included in the study?

Calculate the relative frequencies in the first right column.

Solutions

Expert Solution

Age group

Number of Participants

Proportion of female

Relative frequency

15 years or younger

10

0.4

0.213

16-25 years

25

0.6

0.532

26-30 years

10

1.0

0.213

31 years or older

2

1.0

0.042

The relative frequency can be calculated as Relative frequency=number of participantstotal number of participants

Yes, the age groups are mutually exclusive.

The above sample is not the representative of the age groups in the city.


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