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(In some of the exercises that follow, we must | Ch 8.2 - 5E

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 5E Chapter 8.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 5E

PROBLEM 5E

(In some of the exercises that follow, we must make assumptions such as the existence of normal distributions with equal variances.)

Some nurses in county public health conducted a survey of women who had received inadequate prenatal care. They used information from birth certificates to select mothers for the survey. The mothers selected were divided into two groups: 14 mothers who said they had five or fewer prenatal visits and 14 mothers who said they had six or more prenatal visits. Let X and Y equal the respective birth weights of the babies from these two sets of mothers, and assume that the distribution of X is N(μX, σ2) and the distribution of Y is N(μY, σ2).

(a) Define the test statistic and critical region for testing H0: μX − μY = 0 against H1: μX − μY < 0. Let α = 0.05.

(b) Given that the observations of X were

and the observations of Y were

calculate the value of the test statistic and state your conclusion.

(c) Approximate the p-value.

(d) Construct box plots on the same figure for these two sets of data. Do the box plots support your conclusion?

Step-by-Step Solution:
Step 1 of 3

Chapter 3 Notes – The fetus and newborn: health and risk I. Prenatal health and risk a. Infertility – inability to conceive successfully – after trying for a year i. One in 6 couples experience it ii. In vitro fertilization – assisted reproductive technology – one of the mother’s ova is surgically removed and joined with the fathers sperm 1. Once the ova and sperm fertilized and become an embryo – it is surgically placed back in the mother 2. Very expensive iii. Embryo cryopreservation – many ova being removed from the mother and frozen iv. Sper

Step 2 of 3

Chapter 8.2, Problem 5E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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(In some of the exercises that follow, we must | Ch 8.2 - 5E