The average resting heart rate for a normal adult is around 80 beats per minutes. A randomly selected group of 16 people who live in SF was taken and it was found that their average resting heart rate is 71.3 beats per minute. Assume that the standard deviation of the resting heart rate for any normal adult is 18 beats per minute. Test the claim that the average resting heart rate for people who live in SF is less than 80 beats per minute. Round your answer to the nearest tenth of a BPM For credit, the hypothesis test must contain: 1) Claim in terms of the appropriate parameter (e.g. μ = 4.5 m i l e s) 2) Null and alternative hypothesis 3) Sample evidence used 4) Test stat (z or t) , p-value and direction of test. (right, left or two tailed) 5) Whether you rejected or failed to reject the null hypothesis. 6) Conclusion telling us what the test concluded about your original claim.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The average resting heart rate for a normal adult is around 80 beats per minutes. A randomly selected group of 16 people who live in SF was taken and it was found that their average resting heart rate is 71.3 beats per minute. Assume that the standard deviation of the resting heart rate for any normal adult is 18 beats per minute. Test the claim that the average resting heart rate for people who live in SF is less than 80 beats per minute.
Round your answer to the nearest tenth of a BPM
For credit, the hypothesis test must contain:
1) Claim in terms of the appropriate parameter (e.g. μ = 4.5 m i l e s)
2) Null and alternative hypothesis
3) Sample evidence used
4) Test stat (z or t) , p-value and direction of test. (right, left or two tailed)
5) Whether you rejected or failed to reject the null hypothesis.
6) Conclusion telling us what the test concluded about your original claim.
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