(Class Exercise) Table 4.5 provides the ages of all 50 heads of households in a small Nova Scotian fishing village. The data are in the data file Ages at the text website. The distribution of these ages is characterized by

μ = 47.18 and σ = 14.74.

(a) Construct a stem-and-leaf plot or histogram of the population distribution.

(b) Each student should generate nine random numbers between 01 and 50 and use them to sample nine heads of households. Compute their sample mean age. Plot the empirical sampling distribution of the ¯y-values. Compare it to the distribution in (a).

(c) What do you expect for the mean of the ¯y-values in a long run of repeated samples of size 9?

(d) What do you expect for the standard deviation of the

¯y-values in a long run of repeated samples of size 9?

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TABLE 4.5 Name Age Name Age Name Age Name Age Alexander 50 Griffith 66 McTell 49 Staines 33 Bell 45 Grosvenor 51 MacLeod 30 Stewart 36 Bell 23 lan 57 McNeil 28 Stewart 25 Bok 28 Jansch 40 McNeil 31 Thames 29 Clancy 67 Keelaghan 36 McNeil 45 Thomas 57 Cochran 62 Lavin 38 McNeil 43 Todd 39 Fairchild 41 Lunny 81 Mitchell 43 Trickett 50 Finney 68 MacColl 27 Muir 54 Trickett 64 Fisher 37 McCusker 37 Oban 62 Tyson 76 Francey 60 McCusker 56 Reid 67 Watson 63 Fricker 41 McDonald 71 Renbourn 48 Young 29 Gaughan 70 McDonald 39 Rogers 32 Graham 47 McDonald 46 Rush 42