The standard deviation of pulse rates of adult males is more than 11 beats per minute. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.345. 4. Sketch a normal distribution curve and highlight the region of significance (also called critical region or rejection region). 5. On your graph, next highlight the P-value. (The P-value means that there is a 34.5% chance that your results could be random or happen by chance). 6. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) 7. Without using technical terms or symbols, state a final conclusion that addresses the 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 standard deviation of pulse rates of adult males is more than 11 beats per minute. This is a claim about a population proportion so a
4. Sketch a normal distribution curve and highlight the region of significance (also called critical region or rejection region).
5. On your graph, next highlight the P-value. (The P-value means that there is a 34.5% chance that your results could be random or happen by chance).
6. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)
7. Without using technical terms or symbols, state a final conclusion that addresses the original claim.
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