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 mach 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 104.3 and sample standard deviation of 14, is there evidence that the children have higher IQs? Use the a=0.10 level of significance. Complete parts (a) through (d). a) Determine the null and alternative hypotheses #6 # =100 H₂H > 100 (b) Calculate the P-value P-value = (Round to three decimal places as needed)
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 mach 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 104.3 and sample standard deviation of 14, is there evidence that the children have higher IQs? Use the a=0.10 level of significance. Complete parts (a) through (d). a) Determine the null and alternative hypotheses #6 # =100 H₂H > 100 (b) Calculate the P-value P-value = (Round to three decimal places as needed)
MATLAB: An Introduction with Applications
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Problem 1P
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Need help calculating the P value on part (b)
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![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 104.3 and sample standard deviation of 14, is there evidence that the children have higher IQs? Use the a=0.10 level
of significance. Complete parts (a) through (d).
(a) Determine the null and alternative hypotheses.
но н
= 100
H₂ H > 100
(b) Calculate the P-value
P-value=
(Round to three decimal places as needed)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb4941db-493e-4a2b-a2c5-7e73113da3b9%2F4482b096-63fc-4b2a-ba26-aa57dba322cd%2Fag9wvyf_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 104.3 and sample standard deviation of 14, is there evidence that the children have higher IQs? Use the a=0.10 level
of significance. Complete parts (a) through (d).
(a) Determine the null and alternative hypotheses.
но н
= 100
H₂ H > 100
(b) Calculate the P-value
P-value=
(Round to three decimal places as needed)
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