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. A researcher wishes to determine if listening to classical music improves the

ID: 3063145 • Letter: #

Question

. A researcher wishes to determine if listening to classical music improves the concentration of office workers. To investigate this, he decides to see if office workers are able to complete a certain pencil-and-paper maze more quickly while listening to classical music. Suppose the time (in seconds) needed for office workers to complete the maze while listening to classical music follows a Normal distribution with mean and standard deviation = 4, Suppose also, that in the general population, the time needed to complete the maze (without listening to classical music) follows a Normal distribution with mean 40 and standard deviation 4. The researcher, therefore, decides to test the following hypotheses Ho: -40. Hai

Explanation / Answer

Since computed p-value < alpha = 0.05 (level of significance), we reject the null hypothesis.

It can thus be concluded that the researcher has strong evidence that for office workers listening to classical music substantially improves the time it takes to complete the maze.

Hence, Option 4 is correct.