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A Pharmaceutical Company Wants to Answer the Question Whether It 42.743.444.645.145.645.946.847.6\begin{array} { | l | l | l | l | l | l | l | l | } \hline 42.7 & 43.4 & 44.6 & 45.1 & 45.6 & 45.9 & 46.8 & 47.6 \\\hline\end{array}

Question 19

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A pharmaceutical company wants to answer the question whether it takes longer than 45 seconds for a drug in pill form to dissolve in the gastric juices of the stomach. A sample was taken from patients taken the given drug in pill form and times for the pills to be dissolved were measured as the following: 42.743.444.645.145.645.946.847.6\begin{array} { | l | l | l | l | l | l | l | l | } \hline 42.7 & 43.4 & 44.6 & 45.1 & 45.6 & 45.9 & 46.8 & 47.6 \\\hline\end{array}
a. State the hypotheses to test this question.
b. State the assumptions of the test.
c. Perform the test and determine if it is statistically significant at α = 0.05.
d. Interpret the result.

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