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 12 randomly selected children with Tourette syndrome. The population standard deviation is σ=σ=4.27. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a ? z t distribution.
b. With 95% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ___ and ___ .
c. If many groups of 12 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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