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As part of an evaluation program, a sport goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in Table 2 below. Table 2 Trial Connondale Kona Bike Bianch Orbea 43 37 41 43 2 46 38 45 45 3 43 39 42 46 The data collected was analyzed and Output 2 is shown below. Output 2 Source of Variation Bicydle Brands df MS F p-value 3 81.33 27.11 10.17 0.004 Error 21.33 2.67 Total 11 102.67 At the 0.01 level of significance, is there sufficient evidence to conclude that the mean of downhill coasting speeds is not the same for the four different brands of bicycles? (Use critical value method and P-value method)

As part of an evaluation program, a sport goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in Table 2 below. Table 2 Trial Connondale Kona Bike Bianch Orbea 43 37 41 43 2 46 38 45 45 3 43 39 42 46 The data collected was analyzed and Output 2 is shown below. Output 2 Source of Variation Bicydle Brands df MS F p-value 3 81.33 27.11 10.17 0.004 Error 21.33 2.67 Total 11 102.67 At the 0.01 level of significance, is there sufficient evidence to conclude that the mean of downhill coasting speeds is not the same for the four different brands of bicycles? (Use critical value method and P-value method)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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As part of an evaluation program, a sport goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in Table 2 below. Table 2 Trial Connondale Kona Bike Bianch Orbea 43 37 41 43 46 38 45 45 3 43 39 42 46 The data collected was analyzed and Output 2 is shown below. Output 2 Source of Variation Bicydle Brands df MS F p-value 81.33 27.11 10.17 0.004 Error 21.33 2.67 Total 11 102.67 At the 0.01 level of significance, is there sufficient evidence to conclude that the mean of downhill coasting speeds is not the same for the four different brands of bicycles? (Use critical value method and P-value method)
Transcribed Image Text:As part of an evaluation program, a sport goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in Table 2 below. Table 2 Trial Connondale Kona Bike Bianch Orbea 43 37 41 43 46 38 45 45 3 43 39 42 46 The data collected was analyzed and Output 2 is shown below. Output 2 Source of Variation Bicydle Brands df MS F p-value 81.33 27.11 10.17 0.004 Error 21.33 2.67 Total 11 102.67 At the 0.01 level of significance, is there sufficient evidence to conclude that the mean of downhill coasting speeds is not the same for the four different brands of bicycles? (Use critical value method and P-value method)
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