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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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?

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