data below show the tics in an observed hour for 13 randomly selected children with Tourette syndrome. 7 6 2 11 1 4 3 0 8 5 0 10 11 a. To compute the confidence interval use a ? distribution. b. With 95% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ? and ? days. c. If many groups of 13 randomly selected children with Tourette syndrome are observed, then a different confidence interval would be
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!
A psychiatrist is interested in finding a 95% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 13 randomly selected children with Tourette syndrome.
| 7 | 6 | 2 | 11 | 1 | 4 | 3 | 0 | 8 | 5 | 0 | 10 | 11 |
a. To compute the confidence interval use a ? distribution.
b. With 95% confidence the population
c. If many groups of 13 randomly selected children with Tourette syndrome are observed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population mean number of tics per hour and ? about percent will not contain the true population mean number of tics per hour.
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