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 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. Which conditions must be met by the sample for this test? Select all that apply. Table of height data O A. The sample size must be large. O B. The sampling method results in an independent sample. Height of Father, X, Height of D O C. The sample size is no more than 5% of the population size. Son, Y; 71.6 71.6 76.7 O D. The differences are normally distributed or the sample size is large. O E. The sampling method results in a dependent sample. 75.1 69.1 71.7 72.9 68.1 74.7 Let d, = X - Y Write the hypotheses for the test 69.4 67.9 67.0 67.9 72.0 66.3 69.1 68.2 Hg: H,: 67.2 67.1 68.6 73.3 68.1 Calculate the test statistic. 71.6 tn = (Round to two decimal places as needed.) 71.7 67.7 62.8 Calculate the P-value. P-value = (Round to three decimal places as needed.) Print Done Should the null hypothesis be rejected? V H, 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.
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 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. Which conditions must be met by the sample for this test? Select all that apply. Table of height data O A. The sample size must be large. O B. The sampling method results in an independent sample. Height of Father, X, Height of D O C. The sample size is no more than 5% of the population size. Son, Y; 71.6 71.6 76.7 O D. The differences are normally distributed or the sample size is large. O E. The sampling method results in a dependent sample. 75.1 69.1 71.7 72.9 68.1 74.7 Let d, = X - Y Write the hypotheses for the test 69.4 67.9 67.0 67.9 72.0 66.3 69.1 68.2 Hg: H,: 67.2 67.1 68.6 73.3 68.1 Calculate the test statistic. 71.6 tn = (Round to two decimal places as needed.) 71.7 67.7 62.8 Calculate the P-value. P-value = (Round to three decimal places as needed.) Print Done Should the null hypothesis be rejected? V H, 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.
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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