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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 104.2 and sample standard deviation of 16, is there evidence that the children have higher IQs? Use the a =0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Ho: H = 100 H,: P > 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 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 16, is there evidence that the children have higher IQs? Use the a =0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Ho: H = 100 H,: P > 100 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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  • What is the P value=
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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 104.2 and sample standard deviation of 16, is there evidence that the children have higher IQs? Use the α = 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. \(H_0: \ \mu = 100\) \(H_1: \ \mu > 100\) (b) Calculate the P-value. P-value = □ (Round to three decimal places as needed.)
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 104.2 and sample standard deviation of 16, is there evidence that the children have higher IQs? Use the α = 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. \(H_0: \ \mu = 100\) \(H_1: \ \mu > 100\) (b) Calculate the P-value. P-value = □ (Round to three decimal places as needed.)
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