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Show your work within a Single Excel file or word document (with embedded tables

ID: 3353848 • Letter: S

Question

Show your work within a Single Excel file or word document (with embedded tables) and offer your own conclusions on the sensibility of the t test results and about which lab would be the most reliable  

The U.S. Department of Agriculture provided homogenized baby food samples to three labs for analysis. Results agreed well for protein, fat, zinc, riboflavin, and palmitic acid Results for iron were questionable Lab A, 159 ± 0 14 (13); Lab B, 1 65 ± 0 56 (8); Lab C. 2 68 ± 78 (3) mg100 g Uncertainty is the standard deviation with the number of replicate analyses in parentheses. Use two separate t-tests to compare results from Lab C with those from Lab A and Lab B at the 95% confidence level. Show your work within a Single Excel file or word document (with embedded tables) and offer your own conclusions on the sensibility of the t test results and about which lab would be the most reliable

Explanation / Answer

Lab A - 1    and Lab C -   2


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Two-Sample T-Test and CI

Sample   N   Mean StDev SE Mean
1       13 1.590 0.140    0.039
2        3 2.680 0.780     0.45


Difference = (1) - (2)
Estimate for difference: -1.090
95% CI for difference: (-1.532, -0.648)
T-Test of difference = 0 (vs ): T-Value = -5.28 P-Value = 0.000 DF = 14
Both use Pooled StDev = 0.3220

Lab B - 1    and Lab C -   2

Two-Sample T-Test and CI

Sample N   Mean StDev SE Mean
1       8 1.650 0.560     0.20
2       3 2.680 0.780     0.45


Difference = (1) - (2)
Estimate for difference: -1.030
95% CI for difference: (-1.973, -0.087)
T-Test of difference = 0 (vs ): T-Value = -2.47 P-Value = 0.036 DF = 9
Both use Pooled StDev = 0.6157

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