To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. E Click the icon to view the table of data. Table of height data Which conditions must be met by the sample for this test? Select all that apply. D O A. The sample size must be large. Height of Father, X Height of o Son, Y B. The sampling method results in a dependent sample. |C. The sample size is no more than 5% of the population size. 71.3 69.9 76.4 73.4 O D. The differences are normally distributed or the sample size is large. 69.8 72.3 JE. The sampling method results in an independent sample. 68.5 70.3 70.2 72.1 71.4 Let d, =X, -Y,. Write the hypotheses for the test. 72.7 67.8 67.9 71.3 70.6 Họ: 71.9 70.7 70.5 67.5 H: 72.4 70.1 Calculate the test statistic. 67.8 64.3 64.8 69.7 to = (Round to two decimal places as needed.) Calculate the P-value. P-value = (Round to three decimal places as needed.) Print Done Should the null hypothesis be rejected? Ho because the P-value is V the level of significance. There V sufficient evidence to conclude that sons their fathers at the 0.05 level of significance.
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. E Click the icon to view the table of data. Table of height data Which conditions must be met by the sample for this test? Select all that apply. D O A. The sample size must be large. Height of Father, X Height of o Son, Y B. The sampling method results in a dependent sample. |C. The sample size is no more than 5% of the population size. 71.3 69.9 76.4 73.4 O D. The differences are normally distributed or the sample size is large. 69.8 72.3 JE. The sampling method results in an independent sample. 68.5 70.3 70.2 72.1 71.4 Let d, =X, -Y,. Write the hypotheses for the test. 72.7 67.8 67.9 71.3 70.6 Họ: 71.9 70.7 70.5 67.5 H: 72.4 70.1 Calculate the test statistic. 67.8 64.3 64.8 69.7 to = (Round to two decimal places as needed.) Calculate the P-value. P-value = (Round to three decimal places as needed.) Print Done Should the null hypothesis be rejected? Ho because the P-value is V the level of significance. There V sufficient evidence to conclude that sons their fathers at the 0.05 level of significance.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons
taller than their fathers? Use the a = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
Click the icon to view the table of data.
Table of height data
Which conditions must be met by the sample for this test? Select all that apply.
A. The sample size must be large.
Height of
Father, X1
Height of
Son, Y¡
B. The sampling method results in a dependent sample.
71.3
76.4
C. The sample size is no more than 5% of the population size.
69.9
73.4
D. The differences are normally distributed or the sample size is large.
69.8
72.3
E. The sampling method results in an independent sample.
68.5
70.3
70.2
71.4
Let d; = X; - Yj. Write the hypotheses for the test.
72.1
72.7
67.8
67.9
71.3
70.6
Ho:
71.9
70.7
Hy:
72.4
70.5
70.1
67.5
Calculate the test statistic.
67.8
64.3
69.7
64.8
to = |(Round to two decimal places as needed.)
Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
Print
Done
Should the null hypothesis be rejected?
Ho because the P-value is
the level of significance. There
sufficient evidence to conclude that sons
their fathers at the 0.05 level of significance.
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