A psychologist obtains a random sample of 18 mothers in the first trimester of their pregnancy. The mothers are asked to

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A psychologist obtains a random sample of 18 mothers in the
first trimester of their pregnancy. The mothers are asked to play
classical music 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 18 children in the study result in a sample
mean of 105.2 and sample standard deviation of 18​, is there
evidence that the children have higher​ IQs? Use the α=0.05 level
of significance.
Complete parts​ (a) through​ (d). Click here to view the
standard normal distribution table (page 1). ...
Question content area bottom Part 1 ​
(a) Determine the null and alternative hypotheses.
H0​: ▼ ss pp ModifyingAbove p with caretp sigmaσ muμ x overbarx
▼ less than< equals= greater than> not equals≠ enter your
response here H1​: ▼ ss ModifyingAbove p with caretp x overbarx muμ
sigmaσ pp ▼ greater than> not equals≠ equals= less than<
enter your response here ​(Type integers or decimals. Do not​
round.)
Part 2 ​(b) Identify the test statistic.
▼ t 0t0 z 0z0 =enter your response here ​(Round to two decimal
places as​ needed.)
Part 3 Approximate the​ P-value. The​ P-value is in the range ▼
0.05 less than Upper P dash value less than 0.10 .0.050.10. Upper P
dash value less than 0.01 .P-value<0.01. 0.01 less than Upper P
dash value less than 0.05 .0.01