We suspect that Method 1 for detecting impurities in iron ingots yields higher results than Method...

We suspect that Method 1 for detecting impurities in iron ingots yields higher results than Method 2 for finding such impurities. We want to give a 95% confidence interval for the difference in the average number of impurities detected by the two methods. In order to obtain the confidence interval we measured the impurities of 3 ingots, employing both methods for each ingot. The results are presented in the table below. Assume the difference scores are normally distributed.

We let μ₁ denote the population average number of defects for Method 1 and μ₂ denotes the population average number of defects for Method 2. We wish to develop a confidence interval for μ_d = μ₁-μ₂. Give the margin of error for the 95% confidence interval for μ_d^.

	Ingot 1	Ingot 2	Ingot 3
Method 1	16	32	12
Method 2	12	26	10

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orchestra answered 2 years ago

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