Apsychologist obtains a random sample of 20 mothers in the first trim ester 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. we know 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 a sample standard deviation of 14.7, is there evidence that the children have higher iqs? use the α=0.05 level of significance.

Step-by-step explanation:

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.

a. Do not reject H0 because the P-value is less than the a-0.05 level of significance

b. Reject H0 because the p-value is greater than the a=0.05 level of significance

c. Do not reject H0 because the P-value is less than the a-0.05 level of significance.

d. Reject H0 because the p-value is less than the a=0.05 level of significance.

d) State the conclusion in context of the problem.

There (1)sufficient evidence at the a=0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs.

(1)__is not

___is

Expert Answer

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify