Several drugs can be used to treat epilepsy, including one called Carbamazepine. In the 2000's, a concern was raised by studies indicating that in pregnant epilepsy patients, Carbamazepine might be causing cognitive impairment in their children. A study of 18 children from women who had taken Carbamazepine during pregnancy was conducted, with each child taking a (age-appropriate) IQ test. The mean child IQ was 98.0, and the standard deviation was 6.03. The expected mean for IQ tests is 100. Report answers for multiple choice as a single letter with no punctuation, i.e. A (1) What would the researcher's null hypothesis be? A. The children's mean IQ is 100. B. The children's mean IQ is different from 100. (2) Find the normalized tabs score for the observed mean IQ for the children exposed to Carbamazepine. Report 2 digits after the decimal. (3) Sketch a normalized t distribution (see the Practice Problems for examples), and add tabs on the plot of the null t-distribution. Shade in the appropropriate region that represents the probability of a value as large or more extreme that tObS' in either direction. (l.e. don't forget the other tail.) You next find that for this sample, tc'r'it = t0'05(2),df = 2.11. Add this value to your t distribution plot. Which of the following graphs most resembles your sketch? Standardized t Distribution Standardized t Distribution -0.05(21r(r f0. 05 :1th '150. 05(2), (u tonsrsz -_ t score 1'. score Standardized t Distribution Standardized t Distribution -to. (21am d] : : to. 05( (2.1 df 40.05014} ' to 05(2).df ' (4) Find the 95% confidence interval for the mean IQ for the population of children exposed to Carbamazepine. Report 1 digit after the decimal for each value. 95% confidence interval: \\[ Q/ ,- Q/ \\] (5) What statistical conclusion should the researchers arrive at from this study? A. Reject the Null Hypothesis. B. Fail to Reject the Null Hypothesis. C. Accept the Null Hypothesis. -~ (6) What more colloquial conclusion should the researchers arrive at from this study? A. The epilepsy medication has an effect on children's IQ. B. The data does not provide evidence that the epilepsy medication has an effect on children's IQ. C. The epilepsy medication has no effect on children's IQ. A