A psychologist obtains a random sample of
20
mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. After 5 years, the child is administered an IQ test. It is known that IQs are normally distributed with a mean of
100.
If the IQs of the
20
children in the study result in a sample mean of
104.2
and sample standard deviation of
15,
is there evidence that the children have higher IQs? Use the
α=0.10
level of significance. Complete parts (a) through
(d).
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