A random sample (n=16) is obtained from a population with a mean of 70, and a treatment is administered.  After treatment, the sample mean is found to be M = 75 and the sample variance is 81.  Conduct a one-sample t test (alpha = .05, two-tailed).    a) State the null and alternative hypotheses in SYMBOLS only.   Null:    Alternative:    b) What is the critical t?     c) What is the observed t-statistic?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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A random sample (n=16) is obtained from a population with a mean of 70, and a treatment is administered.  After treatment, the sample mean is found to be M = 75 and the sample variance is 81.  Conduct a one-sample t test (alpha = .05, two-tailed). 

 

  1. a) State the null and alternative hypotheses in SYMBOLS only.

 

Null: 

 

Alternative: 

 

  1. b) What is the critical t?

 

 

  1. c) What is the observed t-statistic?

 

 

  1. d) Are there significant differences between the sample and the population?  (yesor no)

 

 

 

  1. e) Should we reject the null or fail to reject the null?

 

 

 

  1. f) Calculate variance explained (r2):

 

 

 

 

 

 

 

 

 

 

 

 

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