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?
116

Question

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The Answer of 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?
116

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