3.2 Kendall, Danielle, Lauren, and Mitch developed a spectrophotometric method t

Question

3.2 Kendall, Danielle, Lauren, and Mitch developed a spectrophotometric method to determine the amount of yellow dye tartrazine in M&M; candy. They tested the method by analyzing a standard reference material certified to contain 10.0 ppm tartrazine and obtained the following data in five replicate analyses. Mean = 12. ppm Standard deviation = 4. ppm 3.2.1 What is the tcalculated (tcal ) for these data? 50 points 3.2.2 What is t table for this data? Consider 95% confidence interval and see the back of the page for T table. 20 point 3.2.3 Using ttable and tcalculated for these data determine whether their method is acceptable. 30 3.2.4 What is the 95% confidence interval for their data? 30 points

Explanation / Answer

1.

t(cal) = (12 - 10)/(4/sqrt(5))

t(cal) = 1.1180

2.

t-value of 95% CI = 2.7764

t(table) = 2.7764

3.

Method is acceptable as tcal < t(table)

4.

CI for 95%

n = 5

mean = 12

t-value of 95% CI = 2.7764

std. dev. = 4

SE = std.dev./sqrt(n) = 1.78885

ME = t*SE = 4.96666

Lower Limit = Mean - ME = 7.03334

Upper Limit = Mean + ME = 16.96666

95% CI (7.0333 , 16.9667 )

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