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Psychology experiments sometimes involve testing the ability of rats to navigate

ID: 3058383 • Letter: P

Question

Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes to find the food at the end. One researcher needs a maze that will take rats an average of one minute to solve. He tests one maze on 18 rats. Is there evidence that this maze is "too easy" or "too difficult" (implying taking something other than one minute to solve, on average)? The times to complete the maze (in seconds) for the 18 rats are given in the maze.csv data set on Canvas. (Note: “time” is in seconds.) Suppose the population standard deviation ( ), is 2 seconds.

4. Use R to perform the hypothesis test. Report the test-statistic and p-value, but do NOT include all of the output.

5. State a conclusion in the context of the problem.

6. Report AND interpret a 95% confidence interval for the mean time to complete this maze for all rats that may do this maze.

Time 38.4 46.2 62.5 38 62.8 33.9 50.4 35 52.8 60.1 55.1 57.6 55.5 49.5 44.3 69.2 56.3 46.2

Explanation / Answer

Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes to find the food at the end. One researcher needs a maze that will take rats an average of one minute to solve. He tests one maze on 18 rats. Is there evidence that this maze is "too easy" or "too difficult" (implying taking something other than one minute to solve, on average)? The times to complete the maze (in seconds) for the 18 rats are given in the maze.csv data set on Canvas. (Note: “time” is in seconds.) Suppose the population standard deviation ( ), is 2 seconds.

4. Use R to perform the hypothesis test. Report the test-statistic and p-value, but do NOT include all of the output.

5. State a conclusion in the context of the problem.

6. Report AND interpret a 95% confidence interval for the mean time to complete this maze for all rats that may do this maze.

Time 38.4 46.2 62.5 38 62.8 33.9 50.4 35 52.8 60.1 55.1 57.6 55.5 49.5 44.3 69.2 56.3 46.2
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