(a) Does playing Mozart for unborn babies result in children with higher IQs? A psychologist obtains a random sample of 20 mothers, asks each to play Mozart in the house during their last two trimesters, until the day they give birth. After 5 years, the children are given IQ tests. If IQ results in general are distributed normally with a mean of 100 and a standard deviation of 15 and the mean results for the 20 children is 104.2, is there enough evidence to support this claim at a 0.05 significance level?
(a) Does playing Mozart for unborn babies result in children with higher IQs? A psychologist obtains a random
sample of 20 mothers, asks each to play Mozart in the house during their last two trimesters, until the day they
give birth. After 5 years, the children are given IQ tests. If IQ results in general are distributed normally with a
mean of 100 and a standard deviation of 15 and the mean results for the 20 children is 104.2, is there enough
evidence to support this claim at a 0.05 significance level?
(b) In a survey by the American Animal Hospital Association, 37% of respondents stated that they talk to their
pets on the answering machine or telephone. A veterinarian found this result to be too high and selected 150 pet
owners to conduct his own survey. He found that 48 of them spoke with their pets on the phone or on the
answering machine. Does the veterinarian have enough proof to question the survey by the American Animal
Hospital Association?
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