Q17 – Q21. A researcher wants to learn more about the average attention span of individuals in a young adult population (18 – 25 years old). The researcher cites that the attention span (the time in minutes attending to some task) in this population is normally distributed with a mean µ = 20 and a standard deviation of σ2 = 36.  The researcher takes a sample of four individuals (n = 4) from this population to test whether the mean attention span in this population is really 20 minutes attending to some task Q20. From which sample (n = 4 or n = 36) is there a lower probability of collecting a sample mean of 25 from a population with a mean of 20? Q21. What does your answer to question 9 indicate about the relationship between sample size and standard error?

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Author:Amos Gilat
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Q17 – Q21. A researcher wants to learn more about the average attention span of individuals in a young adult population (18 – 25 years old). The researcher cites that the attention span (the time in minutes attending to some task) in this population is normally distributed with a mean µ = 20 and a standard deviation of σ2 = 36.  The researcher takes a sample of four individuals (n = 4) from this population to test whether the mean attention span in this population is really 20 minutes attending to some task

Q20. From which sample (n = 4 or n = 36) is there a lower probability of collecting a sample mean of 25 from a population with a mean of 20?

Q21. What does your answer to question 9 indicate about the relationship between sample size and standard error?

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