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Chapter 13: Q3BSC (page 597)

Notation For the data given in Exercise 1, identify the values of n1 , n2 , n3 , and N.

Short Answer

Expert verified

\({n_1}\)is equal to 10 and denotes the sample size of sample 1 or the corresponding age bracket 20-22.

\({n_2}\)is equal to 10 and denotes the sample size of sample 2 or the corresponding age bracket 23-26.

\({n_3}\)is equal to 10 and denotes the sample size of sample 3 or the corresponding age bracket 27-29.

N is equal to 30 and denotes the total number of observations for all three samples.

Step by step solution

01

Given information

Three samples are given showing the attribute ratings of people in different age groups.

Referring to Exercise 1 of section 13-5, the provided data is:

Age 20-22

38

42

30

39

47

43

33

31

32

28

Age 23-26

39

31

36

35

41

45

36

23

36

20

Age 27-29

36

42

35.5

27

37

34

22

47

36

32

02

Determine the size of the three samples

\({n_1}\)denotes the sample size of sample 1.

Thus,\({n_1} = 10\)

\({n_2}\)denotes the sample size of sample 2.

Thus,\({n_2} = 10\)

\({n_3}\)denotes the sample size of sample 3.

Thus,\({n_3} = 10\)

N denotes the total number of observations for all three samples.

Thus,

\(\begin{array}{c}N = {n_1} + {n_2} + {n_3}\\ = 10 + 10 + 10\\ = 30\end{array}\)

Thus, N is equal to 30.

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28.02

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28.9

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