Question: a. Construct TABLE 1, a table of ratios of length and breadth.

b. The golden ratio f = 1.618 is thought to be a "natural" relationship between length and breadth. At a = 0.05, use TABLE 1to test the hypothesis that the ratio of length to breadth for these sample lakes is 1.618

c. Similarly, test the hypotheses that the ratio is bigger than 2.43

d. Correlate "length" versus "breadth." Compute the line of regression. Graph it

e. 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

f. Global warming is creating a new Great Lake. Suppose the length is 373 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

f. NOTE: RELY ON THE TABLE OF RATIOS — DO PROJECT BREADTH BASED ON THIS RATIO

g. Test the independence of the "length" and "breadth" variables using a chi-square test with

a = 0.05 USE TABLE TO FIND CHI-SQUARE

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