A psychologist has developed a new test to measure depression. Using a very large group of "normal" individuals, the mean score on this test is found to be p=55 and a population standard of o=12. The scores form a normal distribution. A researcher would like to use this test to evaluate a theory predicting that increased depression is a common part of the aging process. To test the theory, a sample of n=36 elderly people is obtained. The depression test is administered to each person, and the mean score for the sample is 59. Testing the hypothesis using a one-tailed test at 0.05 level of significance, do these data support the theory? You can answer "Yes" or "No". Do the 4-step process to determine the answer.

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A psychologist has developed a new test to measure depression. Using a very large group
of "normal" individuals, the mean score on this test is found to be p=55 and a population
standard of o=12. The scores form a normal distribution. A researcher would like to use
this test to evaluate a theory predicting that increased depression is a common part of the
aging process. To test the theory, a sample of n=36 elderly people is obtained. The
depression test is administered to each person, and the mean score for the sample is 59.
Testing the hypothesis using a one-tailed test at 0.05 level of significance, do these data
support the theory? You can answer "Yes" or "No". Do the 4-step process to determine the
answer.
Answer:
Transcribed Image Text:A psychologist has developed a new test to measure depression. Using a very large group of "normal" individuals, the mean score on this test is found to be p=55 and a population standard of o=12. The scores form a normal distribution. A researcher would like to use this test to evaluate a theory predicting that increased depression is a common part of the aging process. To test the theory, a sample of n=36 elderly people is obtained. The depression test is administered to each person, and the mean score for the sample is 59. Testing the hypothesis using a one-tailed test at 0.05 level of significance, do these data support the theory? You can answer "Yes" or "No". Do the 4-step process to determine the answer. Answer:
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