A psychiatrist is interested in finding a 98% 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 ==4.4. Round answers to 3 decimal places where possible.

0

1

7

1

10

2

11

1

1

10

9

8

a. To compute the confidence interval use a ? z t distribution.

b. With98% 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 hourand about percent will not contain the true population mean number of tics per hour.