Hypothesis testing using t: One-sample We test if artificial sunlight during the winter months lowers one’s depression. Without the light, a depression test has m = 8. With the light, our sample with N = 41 produced M = 6. The t value = -1.83. What are the hypotheses? What is the critical value? What is the test statistic? What is the decision? State the conclusion.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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Hypothesis testing using t: One-sample

We test if artificial sunlight during the winter months lowers one’s depression. Without the light, a depression test has m = 8. With the light, our sample with N = 41 produced M = 6.
The t value = -1.83. 

  • What are the hypotheses?
  • What is the critical value?
  • What is the test statistic?
  • What is the decision?
  • State the conclusion.
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