When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain approximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of one hundred 20-year-olds was taken, and the sample mean was found to be 107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. To determine this, we test the following hypotheses H₀: μ= 120 versus H_a: μ

Question

When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain approximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of one hundred 20-year-olds was taken, and the sample mean was found to be 107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. To determine this, we test the following hypotheses H₀: μ= 120 versus H_a: μ< 120 and obtain a P-value of.0023. Based on this test and using a significance level of 0.05, what should we conclude?

Quizplus · Accepted Answer

The P-value is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is evidence to suggest that the expected level of maximum heart rate during weight-control exercise is lower than 120 bpm for 20-year-olds.

When Engaging in Weight-Control (Fitness/fat Burning) Types of Exercise, a Person