Question

A personal trainer determines that an individual will get the most benefit from a workout if they keep their heart rate at an average of 150 beats per minute during workouts. To determine if the individual is doing so successfully, a random sample of 30 workouts is selected from their fitness watch. A 95% confidence interval for these workouts reveals that the true mean heart rate while working out is between 158 and 167 beats per minute. Based upon this interval, what conclusion should be made about the hypotheses: H Subscript 0 Baseline: mu = 150 versus H Subscript alpha Baseline: mu not-equals150 where μ = this individual’s true mean heart rate during working out at α = 0.05?
Reject H0. There is convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
Fail to reject H0. There is not convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Fail to reject H0. There is not convincing evidence that this individual’s true mean heart rate while working out differs from 150.

Answer 1

Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 150, that is:

$H_0: \mu = 150$

At the alternative hypotheses, it is tested if the mean is different of 150, hence:

$H_0: \mu \neq 150$.

The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

More can be learned about confidence intervals at brainly.com/question/25890103

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