Mathematics, 21.03.2020 08:52 Clup0211
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, is found to be between 5 bits to 9 bits.
1. What is the sample mean for the amount of information processed by humans?
2. A fixed level of significance of 5% was selected to test the hypotheses H0: μ = 6.1 bits versus Ha: μ ≠6.1 bits. What would be your statistical decision?
a. Fail to reject H0
b. Reject H0
c. Cannot tell
3. A fixed level of significance of 10% was selected to test the hypotheses H0: μ = 10 bits versus Ha: μ ≠10 bits.. What would be your statistical decision?
a. Fail to reject H0
b. Reject H0
c. Cannot tell
4. A fixed level of significance of 10% was selected to test the hypotheses H0: μ = 5.5 bits versus Ha: μ ≠5.5 bits. What would be your statistical decision?
a. Fail to reject
b. Reject
c. Cannot tell
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