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(Solution Document) In a famous research paper in the psychology literature, George Miller found that the amount of information humans could process in short-term memory...


In a famous research paper in the psychology literature, George Miller found that the amount of information humans could process in short-term memory was 7 bits (pieces of information), plus or minus 2 bits. Let us assume that the title of Miller's paper ("The Magical Number Seven, Plus or Minus Two") refers to a 95% confidence interval for the population mean amount of information processed by humans in bits, that is, the 95% confidence interval goes from 5 bits to 9 bits. 

Question 9 Subquestions

Based on the confidence interval, what was the value for the sample mean amount of information processed?

  • 2 bits
  • 7 bits
  • 4 bits
  • 9 bits
  • Cannot be determined


A fixed level of significance of 5% was selected to test the hypotheses H0: ? = 6.1 bits versus Ha: ? ? 6.1 bits. Based on the confidence interval, what would be your statistical decision?

  • Reject H0
  • Fail to Reject H0
  • Cannot tell


A fixed level of significance of 10% was selected to test the hypotheses H0: ? = 10 bits versus Ha: ? ? 10 bits.. Based on the confidence interval, what would would be your statistical decision?

  • Reject H0
  • Fail to Reject H0
  • Cannot tell


A fixed level of significance of 10% was selected to test the hypotheses H0: ? = 5.5 bits versus Ha: ? ? 5.5 bits. Based on the confidence interval, what would be your statistical decision?

  • Reject H0
  • Fail to Reject H0
  • Cannot tell

 


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