Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 4.5, Problem 26BSC
Identical and Fraternal Twins. In Exercises 25-28, use the data in the following table. Instead of summarizing observed results, the entries reflect the actual probabilities based on births of twins (based on data from the Northern California Twin Registry and the article “Bayesians, Frequeatists, and Scientists” by Bradley Efron, Journal of the American Statistical Association, Vol. 100, No. 469). Identical twins come from a single egg that splits into two embryos, and fraternal twins are from separate fertilized eggs. The table entries reflect the principle that among sets of twins, 1/3 are identical and 2/3 are fraternal Also, identical twins must be of tire same sex and the sexes are equally likely (approximately), and sexes of fraternal twins are equally likely.
Sexes of Twins
| boy/boy | boy/girl | girl/boy | girl/girl | |
| Identical Twins | 5 | 0 | 0 | 5 |
| Fraternal Twins | 5 | 5 | 5 | 5 |
26. Fraternal Twins
- a. After having a sonogram, a pregnant woman learns that she will have twins. What is the probability that she will have fraternal twins?
- b. After studying die sonogram mote closely, the physician tells the pregnant woman that she will give birth to twins consisting of one boy and one girl. What is the probability that she will have fraternal twins?
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9.2 Testing the Mean mu:
Problem 3
(1 point)
Test the claim that the population of sophomore college
students has a mean grade point average greater than 2.2.
Sample statistics include n = 71, x = 2.44, and s = 0.9.
Use a significance level of a = 0.01.
The test statistic is
The P-Value is between :
The final conclusion is
< P-value <
A. There is sufficient evidence to support the claim that
the mean grade point average is greater than 2.2.
○ B. There is not sufficient evidence to support the claim
that the mean grade point average is greater than 2.2.
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Chapter 4 Solutions
Elementary Statistics
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