Sample of two different models of cars were selected, and the actual speed for each car was determined when the speedometer registered 50 mph. The resulting 95% confidence intervals for mean actual speed were (50.3, 52.7) and (49.8, 50.6) respectively. Assuming that the two sample standard deviations are equal, which confidence interval is based on the larger sample size? Explain your reasoning.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Sample of two different models of cars were selected, and the actual speed for each car was
determined when the speedometer registered 50 mph. The resulting 95% confidence intervals
for mean actual speed were (50.3, 52.7) and (49.8, 50.6) respectively. Assuming that the two
sample standard deviations are equal, which confidence interval is based on the larger sample
size? Explain your reasoning.

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