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 erence 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.

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 erence 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Parts a-g

The document displays two columns labeled "Instrument" and "AgWt." The data entries under these columns are as follows:

Column 1 - Instrument:
- Entries are either "1" or "2."

Column 2 - AgWt (Assumed to be a weight measurement):
- For Instrument "1":
- 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
- 107.8681568
- 107.8681672
- 107.8681385
- 107.8681518
- 107.8681662
- 107.8681424
- 107.8681360
- 107.8681333
- 107.8681610
- 107.8681477
- 107.8681393
- 107.8681079

- For Instrument "2":
- 107.8681198
- 107.8681482
- 107.8681334
- 107.8681609
- 107.8681101
- 107.8681512
- 107.8681469
- 107.8681360
- 107.8681261
- 107.8681450
- 107.8681368
- 107.8681344
- 107.8681513
- 107.8681197
- 107.8681385
- 107.8681642
- 107.8681365
- 107.8681151
- 107.8681082
- 107.8681517
- 107.8681448

This data appears to be a set of measurements

The dataset *Silverweight.csv* contains data collected from "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 instruments.

(a) Perform a hypothesis test to determine if there is evidence for the existence of bias or improper calibration in one of the instruments, use α = 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 \( s_p = 1.7 \times 10^{-5} \) Au of the sample as approximately equal to σ 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 \( 0.8 \times 10^{-5} \) Au between the two machines.

(g) Construct a plot to show the mean silver weight measured on both instruments.

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