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

Essay

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: $$\begin{array} { | l | l | l | l | l | l | l | l | } \hline 42.7 & 43.4 & 44.6 & 45.1 & 45.6 & 45.9 & 46.8 & 47.6 \\\hline\end{array}$$
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.