. A researcher wants to test whether a certain sound will makerats do worse on l
ID: 3095803 • Letter: #
Question
. A researcher wants to test whether a certain sound will makerats do worse on learning tasks. It is known that an ordinary ratcan learn to run a particular maze correctly in 18 trials, with astandard deviation of 6. (The number of trials to learn this mazeis normally distributed.) The researcher now tries an ordinary ratin the maze, but with the sound. The rat takes 38 trials to learnthe maze.
(a) Using the .05 level, what should the researcher conclude?Solve this problem explicitly using all five steps of hypothesistesting, and illustrate your answer with a sketch showing thecomparison distribution, the cutoff (or cutoffs), and the score ofthe sample on this distribution. (b) Then explain your answer tosomeone who has never had a course in statistics (but who isfamiliar with mean, standard deviation, and Z scores).
Explanation / Answer
For this question you first want to solve for the z-score of yourtrial. So the equation for z-score is z= (x-)/(/n) where x is the average value(18 trials) and u is the value of theexperiment( 38). Also is our standard deviation of6. We will say n, the number of tries is 1 since we only didthis with one rat. z=(18-38)/6=-20/6=-3.333 Now that we have the z-score we can determine the probability bylooking it up on a z-score table. http://www.uwsp.edu/math/hgonchig/Math_355/Tables/Standard%20Normal.pdf We then get a a probability of .0004 which is far below our .05level. To explain this to someone who hasn't had statistics just statewhat we did in words since they know about every step we have takenhere. Hope this helps.
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