42. (Class Exercise) Table 4.4 provides the ages of all 50 heads of households in a sinall Nova Scotian fishmg village. The distribution of these ages is characterized by j = 47.18 and = 14.74.

a) Construct a stein and leaf plot of the population distribution of the ages of all heads of households

b) Using a random number table, each student should select nine random numbers be- tween 0) and 50. Using these numbers, each student should sample nine heads of house- holds and compute their sample mean age. Using the intervals 31.01-34.00. 34.01-37.00,

37 01-40.00, and so forth to 61.01-64.00, construct the empirical sampling distribution of the P-values Compare it to the distribution in part

(a)

c) Find the mean of the P-values generated in part

(b) What value do you expect for this nican in a long run of repeated samples of size 9"

d) Find the standard deviation of the Y-values generated in part (b). What value do you expect for this standard deviation in a long run of repeated samples of size 9? TABLE 4.4 Name Age Naine Age Name Age Name Age Alcxander 50 Griffith 66 McTell 49 Staines 33 Bell 45 Grosveno 51 MacLeod 30 Stewart 36 Bell 23 lan 57 McNeil 28 Stewart 25 Bok 28 Jansch 40 McNeil 31 Thames 29 BEKE Clancy 67 Kagan 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 Trickert 64 Fisher 37 McCusker 37 Oban 62 Tyson 76 Frase 60 McCusker 56 Reid 67 Watson 63 Fricker 41 McDonald 7] Renbourn 48 Young 29 Gaughan 70 McDonald 39 Rogers 32 Graham 47 McDonald 46 Rush 42