MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Imagine that we are interested in studying whether or not college students are more motivated to succeed than the general public. To test this, we've developed a measure that ranks motivation on a scale of 0-100. We know that the average score of the population is 50, and we know that the population standard deviation is 6. To test whether college students are more motivated than the general public, I choose a sample of N=1, and have this person complete my measure. She does, and gets a score of 62. Use p<.05.

Step 1: Restate the question as a research hypothesis and a null hypothesis:

  • Research Hypothesis:

 

  • Null Hypothesis:

 

Step 2: Determine the characteristics of the comparison distribution:

  • Mean = ________

 

  • Standard Deviation = __________

 

Step 3: Determine the cutoff Z-score for rejecting the null hypothesis (use a 0.05 p value):

  1. Is this a 1- or 2-tailed test? __________
  2. Z cutoff sample score = __________

 

Step 4: Determine your sample's score on the comparison distribution:

  • Sample Z-score = __________

 

Step 5: Make a decision about the hypothesis. (What do we do with the null hypothesis?)

  • Plot the Z-score mean, cutoff score, and sample Z-score on a normal curve:
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