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 Head Circumference (inches), y 25.5 26.75 27.75 17.1 17.3 25 27 17.6 17.5 16.9 (a) Use technology to determine sp (Round to four decimal places as needed.) (b) Test whether a linear relation exists between height and head circumference at the a 0.01 level of significance. State the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho Po 0 H Po0 О В. На: В, 30 H P1>0 ОС. На: Ро -0 H1 Po 0 O D. H P1 0 H: B1 0 Determine the P-value for this hypothesis test (Round to three decimal places as needed.) P-value What is the conclusion that can be drawn? O A. Reject H and conclude that a linear relation exists between a child's height and head circumference at the level of significance a 0.01 O B. Reject H and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a 0.01 O C. Do not reject H and conclude that a linear relation exists between a child's height and head circumference at the level of significance a 0.01 O D. Do not reject H and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a 0.01.
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 Head Circumference (inches), y 25.5 26.75 27.75 17.1 17.3 25 27 17.6 17.5 16.9 (a) Use technology to determine sp (Round to four decimal places as needed.) (b) Test whether a linear relation exists between height and head circumference at the a 0.01 level of significance. State the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho Po 0 H Po0 О В. На: В, 30 H P1>0 ОС. На: Ро -0 H1 Po 0 O D. H P1 0 H: B1 0 Determine the P-value for this hypothesis test (Round to three decimal places as needed.) P-value What is the conclusion that can be drawn? O A. Reject H and conclude that a linear relation exists between a child's height and head circumference at the level of significance a 0.01 O B. Reject H and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a 0.01 O C. Do not reject H and conclude that a linear relation exists between a child's height and head circumference at the level of significance a 0.01 O D. Do not reject H and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a 0.01.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text: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
Head Circumference (inches), y
25.5 26.75 27.75
17.1 17.3
25
27
17.6
17.5
16.9
(a) Use technology to determine sp
(Round to four decimal places as needed.)
(b) Test whether a linear relation exists between height and head circumference at the a 0.01 level of significance. State the null and alternative hypotheses for this test.
Choose the correct answer below.
OA. Ho Po 0
H Po0
О В. На: В, 30
H P1>0
ОС. На: Ро -0
H1 Po 0
O D. H P1 0
H: B1 0
Determine the P-value for this hypothesis test
(Round to three decimal places as needed.)
P-value
What is the conclusion that can be drawn?
O A.
Reject H
and conclude that a linear relation exists between a child's height and head circumference at the level of significance a
0.01
O B. Reject H and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a 0.01
O C. Do not reject H and conclude that a linear relation exists between a child's height and head circumference at the level of significance a 0.01
O D.
Do not reject H
and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a 0.01.
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