sav meh pl0x ty famMean: 42 Median: 38 Range: 52 Mean Deviation: 11.23Shift 118255642293854473530Shift 223195049673430594033Shift 319222440452933293959Shift 421232540351970402223 The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean closest to the population mean?A) Shift 1 B) Shift 2 C) Shift 3 D) Shift 4
Accepted Solution
A:
Given that the summary of the population is: 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: 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: 23, 19, 50, 49, 67,34,30,59,40, 33 The mean is: (23+19+50+49+67+34+30+59+40+33)/10 =404/10 =40.4
Shift 3: Shift 3 19, 22, 24, 40, 45, 29, 33, 29, 39, 59 The mean of the values (19+22+24+40+45+29+33+29+39+59)/10 =339/10 =33.9
Shift 4: 21, 23, 25, 40, 35, 19, 70, 40, 22, 23 The mean of the values is: (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