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A researcher wants to test whether a certain sound will make rats do w6orse on l

ID: 3204638 • Letter: A

Question

A researcher wants to test whether a certain sound will make rats do w6orse on learning tasks. It is known that an ordinary rat can learn to run a particular maze correctly in 18 trials, with a standard deviation of 6. (The number of trials to learn this maze is normally distributed.) The researcher now tries an ordinary rat in the maze, but with the sound. The rat takes 38 trials to learn the maze, Using the .05 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cut offs), and the score of the sample on this distribution. The explain your

Explanation / Answer

Solution:

Using the .05 level, what should the researcher conclude?

a) Ho: u = 18
Ha: u is not equal to 18

Critical Values for 2-tail test with alpha = 5% : +-1.96

Test Statistic: z(38) = (38-18)/6 = 20/6 = 10/3 = 3.333

Conclusion:
   Since the test statistic is in the reject interval, reject Ho. The test results do not support the claim that the mean number of trials required to learn the maze is 18.

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