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A psychologist obtains 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 14.6, is there evidence that the children have higher IQs? Use the x = 0.05 level of significance. What type of hypothesis test is appropriate to conduct for this research? OA. Hypothesis test on a population standard deviation O B. Hypothesis test on a population mean O C. Hypothesis test on a population proportion Determine the null and alternative hypotheses. Ho: H₁: (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? OA. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied. OB. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. OC. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied. OD. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied.

A psychologist obtains 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 14.6, is there evidence that the children have higher IQs? Use the x = 0.05 level of significance. What type of hypothesis test is appropriate to conduct for this research? OA. Hypothesis test on a population standard deviation O B. Hypothesis test on a population mean O C. Hypothesis test on a population proportion Determine the null and alternative hypotheses. Ho: H₁: (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? OA. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied. OB. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. OC. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied. OD. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied.

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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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 14.6, is there evidence that the children have higher IQs? Use the x = 0.05 level of significance. What type of hypothesis test is appropriate to conduct for this research? OA. Hypothesis test on a population standard deviation B. Hypothesis test on a population mean OC. Hypothesis test on a population proportion Determine the null and alternative hypotheses. Ho: H₁: (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? O A. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied. OB. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. C. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied. O D. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied.
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 14.6, is there evidence that the children have higher IQs? Use the x = 0.05 level of significance. What type of hypothesis test is appropriate to conduct for this research? OA. Hypothesis test on a population standard deviation B. Hypothesis test on a population mean OC. Hypothesis test on a population proportion Determine the null and alternative hypotheses. Ho: H₁: (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? O A. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied. OB. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. C. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied. O D. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied.
Calculate the test statistic. Test statistic = (Round to two decimal places as needed.) Calculate the P-value. P-value= (Round to three decimal places as needed.) State the conclusion for the test. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs. B. Do not reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs. C. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that mothers who listen to Mozart have children with lower IQs. D. Reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that mothers who listen to Mozart have children with lower IQs.
Transcribed Image Text:Calculate the test statistic. Test statistic = (Round to two decimal places as needed.) Calculate the P-value. P-value= (Round to three decimal places as needed.) State the conclusion for the test. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs. B. Do not reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs. C. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that mothers who listen to Mozart have children with lower IQs. D. Reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that mothers who listen to Mozart have children with lower IQs.
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