The golden ratio f = 1.618 is thought to be a natural relationship between length and breadth.
Question:
The golden ratio f = 1.618 is thought to be a “natural” relationship between length and breadth. At a = 0.05, use TABLE 1 to test the hypothesis that the ratio of length to breadth for these sample lakes is 1.618
Similarly, test the hypotheses that the ratio is bigger than 2.26
Correlate “length” versus “breadth.” Compute the line of regression. Graph it
Divide the lakes into Western and Eastern hemispheres. Test the hypothesis that their ratios have the same sample means. Discuss the viability of that hypothesis, in light of your analysis
Global warming is creating a new Great Lake. Suppose the length is 300 miles. Give a 90% confidence interval for the breadth of this new lake Use the approach given in Chapter 8 of the text, with a t statistic
NOTE: RELY ON THE TABLE OF RATIOS — DO PROJECT BREADTH BASED ON THOSE RATIOS
Test the independence of the “length” and “breadth” variables using a chi-square test with a = 0.05 USE TABLE TO FIND CHI-SQUARE ANOVA concern
Introduction to Mathematical Statistics and Its Applications
ISBN: 978-0321693945
5th edition
Authors: Richard J. Larsen, Morris L. Marx