Question 288028: I am having problems answering the following question
A researcher wants to test whether a certain sound will make rats do worse 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.
(a) 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 cutoffs), and
The score of the sample on this distribution
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A researcher wants to test whether a certain sound will make rats do worse 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.)
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The researcher now tries an ordinary rat in the maze, but with the sound.
The rat takes 38 trials to learn the maze.
(a) Using the .05 level, what should the researcher conclude?
-------------
Ho: u = 18
Ha: u is not equal to 18
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Critical Values for 2-tail test with alpha = 5% : +-1.96
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Test Statistic: z(38) = (38-18)/6 = 20/6 = 10/3 = 3.333
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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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Cheers,
Stan H.
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