The dataset Silverweight.csv contains data collected "The Absolute Isotopic Abundance and Atomic Weight of a Reference Sample of Silver" from NBS Journal of Research, 87, pp. 9-19. It compared the Atomic weight of silver (in Aus) as measured by 2 different instruements. (a) Perform a hypothesis test to determine if their is evidence for the existence of bias or improper calibration in one of the instruments, use a = 0.01. (b) Construct a 99% confidence interval for the difference in the estimated atomic weights. (c) Evaluate the assumptions of your hypothesis test in a). (d) Compute an appropriate effect size for the difference in estimates between the two techniques. (e) Estimate the difference in calibrations (effect size as measured as difference of the means) that you have a 90% chance of detecting for this dataset. Use sp = 1.7 x 10-5 Au of the sample as approximately equal to o and a sample size of 24 in each group. - (f) What sample size would you need in order to have an 80% chance of detecting a calibration difference of 0.8 x 10-5 Au between the two machines. (g) Construct a plot to show the mean silver weight measured on both instruments.

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Author:Amos Gilat
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By using r studio awnser parts a-g
Instrument AgWt
1
1
1
1
1
1
1
1
1
1
1
1
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1
1
1
1
1
1
1
1
1
1
1
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2
107.8681568
107.8681465
107.8681572
107.8681785
107.8681446
107.8681903
107.8681526
107.8681494
107.8681616
107.8681587
107.8681519
107.8681486
107.8681419
107.8681569
107.8681508
107.8681672
107.8681385
107.8681518
107.8681662
107.8681424
107.8681360
107.8681333
107.8681610
107.8681477
107.8681079
107.8681344
107.8681513
107.8681197
107.8681604
107.8681385
107.8681642
107.8681365
107.8681151
107.8681082
107.8681517
107.8681448
2
2
2
2
2
2
2
2
2
2
2
2
107.8681198
107.8681482
107.8681334
107.8681609
107.8681101
107.8681512
107.8681469
107.8681360
107.8681254
107.8681261
107.8681450
107.8681368
Transcribed Image Text:Instrument AgWt 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 107.8681568 107.8681465 107.8681572 107.8681785 107.8681446 107.8681903 107.8681526 107.8681494 107.8681616 107.8681587 107.8681519 107.8681486 107.8681419 107.8681569 107.8681508 107.8681672 107.8681385 107.8681518 107.8681662 107.8681424 107.8681360 107.8681333 107.8681610 107.8681477 107.8681079 107.8681344 107.8681513 107.8681197 107.8681604 107.8681385 107.8681642 107.8681365 107.8681151 107.8681082 107.8681517 107.8681448 2 2 2 2 2 2 2 2 2 2 2 2 107.8681198 107.8681482 107.8681334 107.8681609 107.8681101 107.8681512 107.8681469 107.8681360 107.8681254 107.8681261 107.8681450 107.8681368
The dataset Silverweight .csv contains data collected "The Absolute Isotopic Abundance and Atomic
Weight of a Reference Sample of Silver" from NBS Journal of Research, 87, pp. 9-19. It compared the
Atomic weight of silver (in Aus) as measured by 2 different instruements.
(a) Perform a hypothesis test to determine if their is evidence for the existence of bias or improper
calibration in one of the instruments, use a = 0.01.
(b) Construct a 99% confidence interval for the difference in the estimated atomic weights.
(c) Evaluate the assumptions of your hypothesis test in a).
(d) Compute an appropriate effect size for the difference in estimates between the two techniques.
(e) Estimate the difference in calibrations (effect size as measured as difference of the means) that
you have a 90% chance of detecting for this dataset. Use sp = 1.7 x 10-5 Au of the sample as
approximately equal to o and a sample size of 24 in each group.
(f) What sample size would you need in order to have an 80% chance of detecting a calibration
difference of 0.8 x 10-5 Au between the two machines.
(g) Construct a plot to show the mean silver weight measured on both instruments.
Transcribed Image Text:The dataset Silverweight .csv contains data collected "The Absolute Isotopic Abundance and Atomic Weight of a Reference Sample of Silver" from NBS Journal of Research, 87, pp. 9-19. It compared the Atomic weight of silver (in Aus) as measured by 2 different instruements. (a) Perform a hypothesis test to determine if their is evidence for the existence of bias or improper calibration in one of the instruments, use a = 0.01. (b) Construct a 99% confidence interval for the difference in the estimated atomic weights. (c) Evaluate the assumptions of your hypothesis test in a). (d) Compute an appropriate effect size for the difference in estimates between the two techniques. (e) Estimate the difference in calibrations (effect size as measured as difference of the means) that you have a 90% chance of detecting for this dataset. Use sp = 1.7 x 10-5 Au of the sample as approximately equal to o and a sample size of 24 in each group. (f) What sample size would you need in order to have an 80% chance of detecting a calibration difference of 0.8 x 10-5 Au between the two machines. (g) Construct a plot to show the mean silver weight measured on both instruments.
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