Solved: Drug content assessment. Refer to the Analytical

Chapter 7, Problem 92E

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QUESTION:

Refer to the Analytical Chemistry (Dec. 15, 2009) study of a new method used by GlaxoSmithKline Medicines Research Center to determine the amount of drug in a tablet, Exercise 6.101 (p. 340). Drug concentrations (measured as a percentage) for 50 randomly selected tablets are repeated in the accompanying table. The standard method of assessing drug content yields a concentration variance of 9. Can the scientists at GlaxoSmithKline conclude that the new method of determining drug concentration is less variable than the standard method? Test using \(\alpha=.01\)

\(\begin{array}{lllllllll}
\hline 91.28 & 92.83 & 89.35 & 91.90 & 82.85 & 94.83 & 89.83 & 89.00 & 84.62 \\
86.96 & 88.32 & 91.17 & 83.86 & 89.74 & 92.24 & 92.59 & 84.21 & 89.36 \\
90.96 & 92.85 & 89.39 & 89.82 & 89.91 & 92.16 & 88.67 & 89.35 & 86.51 \\
89.04 & 91.82 & 93.02 & 88.32 & 88.76 & 89.26 & 90.36 & 87.16 & 91.74 \\
86.12 & 92.10 & 83.33 & 87.61 & 88.20 & 92.78 & 86.35 & 93.84 & 91.20 \\
93.44 & 86.77 & 83.77 & 93.19 & 81.79 & & & & \\
\hline
\end{array}
\)

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(2 Reviews)

QUESTION:

Refer to the Analytical Chemistry (Dec. 15, 2009) study of a new method used by GlaxoSmithKline Medicines Research Center to determine the amount of drug in a tablet, Exercise 6.101 (p. 340). Drug concentrations (measured as a percentage) for 50 randomly selected tablets are repeated in the accompanying table. The standard method of assessing drug content yields a concentration variance of 9. Can the scientists at GlaxoSmithKline conclude that the new method of determining drug concentration is less variable than the standard method? Test using \(\alpha=.01\)

\(\begin{array}{lllllllll}
\hline 91.28 & 92.83 & 89.35 & 91.90 & 82.85 & 94.83 & 89.83 & 89.00 & 84.62 \\
86.96 & 88.32 & 91.17 & 83.86 & 89.74 & 92.24 & 92.59 & 84.21 & 89.36 \\
90.96 & 92.85 & 89.39 & 89.82 & 89.91 & 92.16 & 88.67 & 89.35 & 86.51 \\
89.04 & 91.82 & 93.02 & 88.32 & 88.76 & 89.26 & 90.36 & 87.16 & 91.74 \\
86.12 & 92.10 & 83.33 & 87.61 & 88.20 & 92.78 & 86.35 & 93.84 & 91.20 \\
93.44 & 86.77 & 83.77 & 93.19 & 81.79 & & & & \\
\hline
\end{array}
\)

ANSWER:

Step 1 of 2

Here the data regarding the amount of drug in 50 randomly selected tablets is given.

\(\begin{array}{lllllllll} \hline 91.28 & 92.83 & 89.35 & 91.90 & 82.85 & 94.83 & 89.83 & 89.00 & 84.62 \\ 86.96 & 88.32 & 91.17 & 83.86 & 89.74 & 92.24 & 92.59 & 84.21 & 89.36 \\ 90.96 & 92.85 & 89.39 & 89.82 & 89.91 & 92.16 & 88.67 & 89.35 & 86.51 \\ 89.04 & 91.82 & 93.02 & 88.32 & 88.76 & 89.26 & 90.36 & 87.16 & 91.74 \\ 86.12 & 92.10 & 83.33 & 87.61 & 88.20 & 92.78 & 86.35 & 93.84 & 91.20 \\ 93.44 & 86.77 & 83.77 & 93.19 & 81.79 & & & & \\ \hline \end{array}\)

The scientists using the standard method of assessing, found that the tables have drug concentration with a variance 9.

We have to check whether a new method of assessing is less variable than the standard method of assessing or not at \(\alpha=0.01\)

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Review this written solution for 40215) viewed: 370 isbn: 9780321826237 | Statistics For Business And Economics - 12 Edition - Chapter 7 - Problem 92e

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Textbook: Statistics for Business and Economics

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