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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 α = 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 here to view the table of data. Click here to view the table of critical t-values.

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 α = 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 here to view the table of data. Click here to view the table of critical t-values.

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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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 α = 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 here to view the table of data. Click here to view the table of critical t-values. Which conditions must be met by the sample for this test? Select all that apply. A. The sampling method results in a dependent sample. B. The sampling method results in an independent sample. C. The sample size is no more than 5% of the population size. D. The differences are normally distributed or the sample size is large. E. The sample size must be large. Let d₁=X; - Y₁. Write the hypotheses for the test. Ho: Hd=0 H₁: Hd <0 Calculate the test statistic. to = -0.04 (Round to two decimal places as needed.) Identify the critical value(s) for this test. Select the correct choice below and fill in all answer boxes within your choice. (Round to two decimal places as needed.) OA. t= OB. ta/2= OC. -ta = ←.. or -ta/2= Table of height data Height of Father, X₁ 68.3 70.9 71.3 69.6 67.1 73.1 68.1 68.3 66.5 72.7 70.7 68.1 73.2 Print Height D of Son, Y₁ 73.4 74.5 73.9 71.4 68.2 73.8 68.2 67.8 65.3 70.9 68.3 64.5 68.1 Done
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 α = 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 here to view the table of data. Click here to view the table of critical t-values. Which conditions must be met by the sample for this test? Select all that apply. A. The sampling method results in a dependent sample. B. The sampling method results in an independent sample. C. The sample size is no more than 5% of the population size. D. The differences are normally distributed or the sample size is large. E. The sample size must be large. Let d₁=X; - Y₁. Write the hypotheses for the test. Ho: Hd=0 H₁: Hd <0 Calculate the test statistic. to = -0.04 (Round to two decimal places as needed.) Identify the critical value(s) for this test. Select the correct choice below and fill in all answer boxes within your choice. (Round to two decimal places as needed.) OA. t= OB. ta/2= OC. -ta = ←.. or -ta/2= Table of height data Height of Father, X₁ 68.3 70.9 71.3 69.6 67.1 73.1 68.1 68.3 66.5 72.7 70.7 68.1 73.2 Print Height D of Son, Y₁ 73.4 74.5 73.9 71.4 68.2 73.8 68.2 67.8 65.3 70.9 68.3 64.5 68.1 Done
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