Two different physical conditioning programs are being tested by Omni Physical Therapy Centers to determine if one is more effective than the other in reducing high pulse rates. Ten volunteers are randomly selected for Program A and another 10 are selected for Program B. After four months, Program A participants showed an average pulse rate reduction of 15.2 beats per minute, with a standard deviation of 4.9 beats. Program B participants showed an average reduction in pulse rate of 12.5 beats, with a standard deviation of 5.4 beats. Set up a hypothesis test to test whether the difference in sample means is statistically significant and report your conclusion. Use a significance level of 5%. Assume that the population distributions are normal and that the population standard deviations are equal.
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