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Can you help me determine the test statistic and P-value of the following equation?

Can you help me determine the test statistic and P-value of the following equation?

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
Section10.4: Distributions Of Data
Problem 19PFA
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Can you help me determine the test statistic and P-value of the following equation?

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= 0.01 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. Y A. The sample size is no more than 5% of the population size. YB. The differences are normally distributed or the sample size is large. O C. The sampling method results in an independent sample. O D. The sample size must be large. YE. The sampling method results in a dependent sample. Let d; = X; - Yj. Write the hypotheses for the test. Ho: Hd = 0 H1: Pa<0 Calculate the test statistic. to = (Round to two decimal places as needed.)
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= 0.01 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. Y A. The sample size is no more than 5% of the population size. YB. The differences are normally distributed or the sample size is large. O C. The sampling method results in an independent sample. O D. The sample size must be large. YE. The sampling method results in a dependent sample. Let d; = X; - Yj. Write the hypotheses for the test. Ho: Hd = 0 H1: Pa<0 Calculate the test statistic. to = (Round to two decimal places as needed.)
Table of height data Height of Father, Xi Height of Son, Yi 70.8 75.7 67.7 71.1 73.1 75.5 71.5 73.3 70.4 71.6 72.7 73.3 70.6 70.7 69.4 68.7 67.9 66.7 67.8 71.8 66.1 69.3 72.8 69.3 72.2 67.1 Print Done
Transcribed Image Text:Table of height data Height of Father, Xi Height of Son, Yi 70.8 75.7 67.7 71.1 73.1 75.5 71.5 73.3 70.4 71.6 72.7 73.3 70.6 70.7 69.4 68.7 67.9 66.7 67.8 71.8 66.1 69.3 72.8 69.3 72.2 67.1 Print Done
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