In a controlled and scientifically valid study of sleeping pills, 40 people who took Pill A averaged 7.5 hours of sleep, with a standard deviation of 1.5 hours, while 40 people who took Pill B averaged 8 hours of sleep, with a standard deviation of 2 hours. Is there enough evidence to support the assertion that Pill B is more effective than Pill A to a 95% confidence interval? Explain.

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