Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.186 0.205 0.255 0.305 0.191 0.212 0.266 0.298 0.188 0.222 0.278 0.307 0.197 0.246 0.290 0.311 Yes. The correlation between the expected z-scores and the observed data, nothing, exceeds the critical value, nothing. Therefore, it is reasonable to conclude that the data come from a normal population. B. Yes. The correlation between the expected z-scores and the observed data, nothing, exceeds the critical value, nothing. Therefore, it is not reasonable to conclude that the data come from a normal population. C. No. The correlation between the expected z-scores and the observed data, nothing, does not exceed the critical value, nothing. Therefore, it is reasonable to conclude that the data come from a normal population. D. No. The correlation between the expected z-scores and the observed data, nothing, does not exceed the critical value, nothing. Therefore, it is not reasonable to conclude that the data come from a normal population.
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!
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is
0.186
0.205 0.255 0.305 0.191 0.212 0.266 0.298 0.188 0.222 0.278 0.307 0.197 0.246 0.290 0.311 Yes.
The nothing,
exceeds
the critical value,
nothing.
Therefore, it is
reasonable
to conclude that the data come from a normal population.Yes.
The correlation between the expected z-scores and the observed data,
nothing,
exceeds
the critical value,
nothing.
Therefore, it is
not reasonable
to conclude that the data come from a normal population.No.
The correlation between the expected z-scores and the observed data,
nothing,
does not exceed
the critical value,
nothing.
Therefore, it is
reasonable
to conclude that the data come from a normal population.No.
The correlation between the expected z-scores and the observed data,
nothing,
does not exceed
the critical value,
nothing.
Therefore, it is
not reasonable
to conclude that the data come from a normal population. |
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