Given that the summary of the population is: <span>Mean: 42 Median: 38 Range: 52 Mean Deviation: 11.23
To obtain the sample that is closest to the mean we shall proceed as follows: Shift 1: </span><span>18,25,56,42,29,38,54,47,35,30 The mean of the sample is: (18+25+56+42+29+38+54+47+35+30)/10 =374/10 =37.4
Shift 2: </span><span>23, 19, 50, 49, 67,34,30,59,40, 33 </span>The mean is: (23+19+50+49+67+34+30+59+40+33)/10 =404/10 =40.4
Shift 3: <span>Shift 3 19, 22, 24, 40, 45, 29, 33, 29, 39, 59 The mean of the values </span>(19+22+24+40+45+29+33+29+39+59)/10 =339/10 =33.9
Shift 4: <span>21, 23, 25, 40, 35, 19, 70, 40, 22, 23 The mean of the values is: (</span>21+23+25+40+35+19+70+40+22+23)/10 =318/10 =31.8
From the calculations, the sample that has mean that is close to population mean is Shift 2
The formula for S.A. of a cylinder: S.A. = 2πr² + 2πrh (given).
r is radius, which is half the diameter. The diameter is 6 in, thus the radius is 3 in. h is height; the height of this cylinder is 8 in. Let's plug in our numbers and solve.
