a) Use calculator or computer to calculate s (hand calculation is too tedious).

Question

a) Use calculator or computer to calculate s (hand calculation is too tedious).
b) Compare the ratio of the range to s for the three sample sizes
n=6 , s=1.21
n=20, s=9.54
n=88, s=the result in a)
Note that the ratio tends to increase as the amount f data increases. The greater the amount of data, the greater will be their tendency to contain a few extreme values that will inflate the range and have relatively little effect on s. We ignored phenomenon and suggested that you use 4 as the ratio for finding s guessed value of s in checking calculations.

Supplementary Exercises 1 25 The following data give the lengths of time to failure for n 88 radio transmitter-receivers: 16 224 16 80 96 536 400 80 392 576 128 56 656 224 40 32 358 384 256 246 328 464 448 716 304 16 72 8 80 72 56 608 108 194 136 224 80 16 424 264 156 216 168 184 552 72 184 240 438 120 308 32 272 152 328 480 60 208 340 104 72 168 40 152 360 232 40 112 112 288 168 352 56 72 64 40 184 264 96 224 168 168 114 280 152 208 160 176

Explanation / Answer

a)

s calculated as per the computer is 162.17 for n=88.

b)

Range to s is as follows: -

n=6, 0.20 n=20, 0.477 n=88, 1.84

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