Homework: Chapter 10 - Means
Question 7, 10.4.7-T
Part 1 of 6
HW Score: 66.67%, 6 of 9 points
Points: 0 of 1
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Part 1
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 14.3
,
is there evidence that the children have higher IQs? Use the alpha equals 0.05
level of significance.
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Part 1
What type of hypothesis test is appropriate to conduct for this research?
A.
Hypothesis test on a population proportion
B.
Hypothesis test on a population standard deviation
C.
Hypothesis test on a population mean
C. Hypothesis test on a population mean
Which distribution should be used for this hypothesis test?
A.
The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied.
B.
The chi-square distribution because the parameter is sigma
or sigma
Superscript 2,
and the model conditions are satisfied.
C.
The normal distribution because the parameter is the mean, sigma
is known, and the model conditions are satisfied.
D.
The Student's t-distribution because the parameter is the mean, sigma
is not known, and the model conditions are satisfied.