Question

The president of a university claimed that the entering class this year appeared to have a mean SAT score lower than previous years. He took a sample of 20 of this year's entering students and found that their mean SAT score is 1,501 with a standard deviation of 53. The university's record indicates that the mean SAT score for entering students from previous years is 1,520. He wants to find out if his claim is supported by the evidence at a 5% level of significance. Give all needed explanations.The president of a university claimed that the entering class this year appeared to have a mean SAT score lower than previous years. He took a sample of 20 of this year's entering students and found that their mean SAT score is 1,501 with a standard deviation of 53. The university's record indicates that the mean SAT score for entering students from previous years is 1,520. He wants to find out if his claim is supported by the evidence at a 5% level of significance. Give all needed explanations.

Answer #1

A college professor claims that the entering class this year
appears to be smarter than entering classes from previous years. He
tests a random sample of
10
of this year's entering students and finds that their mean IQ
score is
121
, with standard deviation of
14
. The college records indicate that the mean IQ score for
entering students from previous years is
111
. If we assume that the IQ scores of this year's entering class
are normally...

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