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 norma 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 15, 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. Họ: 100 V100 (b) Calculate the P-value. P-value (Round to three decimal places as needed.) (c) State the conclusion for the test. Choose the correct answer below. O A. Do not reject Ho because the P-value is greater than the a=0.05 level of significance. O B. Reject Ho because the P-value is less than the a =0.05 level of significance. OC. Do not reject Ho because the P-value is less than the a= 0.05 level of significance. O D. Reject H, because the P-value is greater than the a= 0.05 level of significance. (d) State the conclusion in context of the problem. There V sufficient evidence at the a=0.05 level of significance conclude that mothers who listen Mozart have children with higher 1Qs.

Name: A psychologist obtains a random sample of 20 mothers in the first tri
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 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