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The data below displays heights (in inches) of a random sample of students and their parent of the same sex. 70 65 68 Student (s) 63 72 71 Parent (p) 65 67 64 63 70 66 Difference (s-p) -2 4 The mean for the difference between student and parent heights is Xp = 2.33 and the sample standard deviation for the difference between student and parent heights is sp= 2.88. We can assume the distribution of the differences is Normal. The p-value for this hypothesis test is 0.0218. At a 0.05 significance level, what conclusion can you make? O a, There is not sufficient evidence to conclude that students are taller on average than their respective parents O b. There is not sufficient evidence to conclude that an individual student is taller than his/her parent of the same gender. O c. There is sufficient evidence to conclude that students are taller on average than their respective parents. riont evidence to conclude that the average height for students is the same as the average height of their respective parents

The data below displays heights (in inches) of a random sample of students and their parent of the same sex. 70 65 68 Student (s) 63 72 71 Parent (p) 65 67 64 63 70 66 Difference (s-p) -2 4 The mean for the difference between student and parent heights is Xp = 2.33 and the sample standard deviation for the difference between student and parent heights is sp= 2.88. We can assume the distribution of the differences is Normal. The p-value for this hypothesis test is 0.0218. At a 0.05 significance level, what conclusion can you make? O a, There is not sufficient evidence to conclude that students are taller on average than their respective parents O b. There is not sufficient evidence to conclude that an individual student is taller than his/her parent of the same gender. O c. There is sufficient evidence to conclude that students are taller on average than their respective parents. riont evidence to conclude that the average height for students is the same as the average height of their respective parents

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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The data below displays heights (in inches) of a random sample of students and their parent of the same sex. Student (s) 70 65 68 63 72 71 Parent (p) 65 67 64 63 70 66 Difference (s-p) 5 -2 4 2 5 The mean for the difference between student and parent heights is Xp = 2.33 and the sample standard deviation for the difference between student and parent heights is sp= 2.88. We can assume the distribution of the differences is Normal. The p-value for this hypothesis test is 0.0218. At a 0.05 significance level, what conclusion can you make? O a. There is not sufficient evidence to conclude that students are taller on average than their respective parents O b. There is not sufficient evidence to conclude that an individual student is taller than his/her parent of the same gender. O c. There is sufficient evidence to conclude that students are taller on average than their respective parents. O d. There is sufficient evidence to conclude that the average height for students is the same as the average height of their respective parents.
Transcribed Image Text:The data below displays heights (in inches) of a random sample of students and their parent of the same sex. Student (s) 70 65 68 63 72 71 Parent (p) 65 67 64 63 70 66 Difference (s-p) 5 -2 4 2 5 The mean for the difference between student and parent heights is Xp = 2.33 and the sample standard deviation for the difference between student and parent heights is sp= 2.88. We can assume the distribution of the differences is Normal. The p-value for this hypothesis test is 0.0218. At a 0.05 significance level, what conclusion can you make? O a. There is not sufficient evidence to conclude that students are taller on average than their respective parents O b. There is not sufficient evidence to conclude that an individual student is taller than his/her parent of the same gender. O c. There is sufficient evidence to conclude that students are taller on average than their respective parents. O d. There is sufficient evidence to conclude that the average height for students is the same as the average height of their respective parents.
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