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 Ha: μ< 120
A 95% confidence interval for the population mean weight control heart rate, , of 20-year-olds was found to be ( 98.1, 115.9) . Which of the following statements is the correct interpretation for this confidence interval?
A) There is a 95% chance that the mean duration of another random sample from this population would be between 98.1 and 115.9 bpm.
B) There is a 95% chance that a randomly selected individual from this population would give a response between 98.1 and 115.9 bpm.
C) We are 95% confident that the sample mean duration is between 98.1 and 115.9 bpm.
D) We are 95% confident that the population mean duration is between 98.1 and 115.9 bpm.
Correct Answer:
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