Sam Wanted to Test a Claim About the Mean of a Population

question 44

Essay

Sam wanted to test a claim about the mean of a population whose standard deviation was unknown. He picked
a simple random sample of size 20 from the population. Lou wanted to test a claim about a mean of a different
population whose standard deviation was known. He picked a simple random sample of size 22 from that
population. George said that Sam would need to determine whether his sample was from a normally
distributed population because the population standard deviation was unknown. He said that Lou would not
need to do this since for his test the population standard deviation was known. Is George right?

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Definitions:

Present Experience

The immediate perception of events happening at the current moment, involving a focus on the here and now.

Mindfulness

Paying attention on purpose in the present moment with attitudes of curiosity, patience, nonjudgement and openness.

Negative Affectivity

The state or trait tendency to experience nervousness, fear, anger, sadness, contempt, or guilt.

Nervousness

A feeling of agitation or anxiety, often experienced in anticipation of a stressful event or situation.