Calculate an estimate for the population standard deviation of filling weights. Use the approach favoured by industry: your estimate must be based on the sample ranges (rather than the sample standard deviations). Your answer must be accurate within ±0.005 grams.

MATLAB: An Introduction with Applications
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At a production plant manufacturing hazelnut cocoa spread, a sample of 6 jars was taken every 30
minutes between 9.00 and 13.00. The filling weight (in grams) of each jar is shown in the table below.
Sample Time
1
9:00
2
9:30
3
4
5
6
7
8
9
10:00
10:30
11:00
11:30
12:00
12:30
13:00
Weight 1 Weight 2 Weight 3 Weight 4
395
392
403
394
407
393
401
405
407
400
409
397
396
402
399
399
403
397
400
394
396
396
394
409
406
390
402
391
396
400
400
397
403
403
409
397
Weight 5
408
405
397
410
406
390
408
399
407
Weight 6
398
409
395
406
395
393
410
393
409
Calculate an estimate for the population standard deviation of filling weights. Use the approach
favoured by industry: your estimate must be based on the sample ranges (rather than the sample
standard deviations). Your answer must be accurate within ±0.005 grams.
Transcribed Image Text:At a production plant manufacturing hazelnut cocoa spread, a sample of 6 jars was taken every 30 minutes between 9.00 and 13.00. The filling weight (in grams) of each jar is shown in the table below. Sample Time 1 9:00 2 9:30 3 4 5 6 7 8 9 10:00 10:30 11:00 11:30 12:00 12:30 13:00 Weight 1 Weight 2 Weight 3 Weight 4 395 392 403 394 407 393 401 405 407 400 409 397 396 402 399 399 403 397 400 394 396 396 394 409 406 390 402 391 396 400 400 397 403 403 409 397 Weight 5 408 405 397 410 406 390 408 399 407 Weight 6 398 409 395 406 395 393 410 393 409 Calculate an estimate for the population standard deviation of filling weights. Use the approach favoured by industry: your estimate must be based on the sample ranges (rather than the sample standard deviations). Your answer must be accurate within ±0.005 grams.
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