Answered: (a) Use technology to determine sb1.…

Name: A pediatrician wants to determine the relation that may exist between
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Description: A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. A normal probability plot

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. A normal probability plot suggests that the residuals are normally distributed. Complete parts (a) and (b) below.

Height (inches), x	26.5	26.75	25.5	27.5	25
Head Circumference (inches), y	17.3	17.3	17.1	17.5	16.9

(a) Use technology to determine sb1.

sb1=_____?

(Round to four decimal places as needed.)

(b) Test whether a linear relation exists between height and head circumference at the

α=0.01

level of significance. State the null and alternative hypotheses for this test.

Choose the correct answer below.

A. H0: β1=0 H1: β1>0

B. H0: β0=0 H1: β0≠0

C. H0: β0=0 H1: β0>0

D. H0: β1=0 H1: β1≠0

Determine the P-value for this hypothesis test.

P-value=____?

(Round to three decimal places as needed.)

What is the conclusion that can be drawn?

A. Do not reject H0 and conclude that a linear relation does not exist

between a child's height and head circumference at the level of significance

α=0.01.

B. Do not reject H0 and conclude that a linear relation exists

between a child's height and head circumference at the level of significance

α=0.01.

C. Reject H0 and conclude that a linear relation exists

between a child's height and head circumference at the level of significance

α=0.01.

D. Reject H0 and conclude that a linear relation does not exist

between a child's height and head circumference at the level of significance

α=0.01.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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