Question

X Correlation coefficient Calcula Conduct and Interpreta Bivare X R Variance calculator Chapter 8 Confidence interval x + cc instructure.com/courses/20438/assignments/257908 < Plus ES Chapter 8 Confidence intervals (Mean) Done us Score: 1.274 174 answered les Question 2 < > 0.2/1 pt 2-3 nments Essions Score on last try: 0.2 of 1 pts. See Details for more. > Next question Try a similar question You can retry this question below ent Support ring Services 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 14 randomly selected children with Tourette syndrome. Round answers to 3 decimal places where possible. sfer Services coring 10 1 0 1 1 5 6 11 36 51 91 103 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 c. If many groups of 14 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. Submit Question

Answer 1

Sol: Given data from the given table ti 10 - 0 4 5 6 11 8 6 5 9 to 5 Exi 91 Sample Mean n 14 ã 6.5 where no 14 (No. Of Variables) Sample standard deviation : (5) - £ (x; -ā)? n-1 (10 - 6.5)2 + ((-6.5)+60-6.5)4(4-6.5) (11-6.5) (5-6.5) 366–6:5)?, 711-6.5) 2+ (8-6.5) +(6-6-57265-6-5)+(9–6.5) (10-6:5) +(5-5.5) 14-1 (3.5)+(-5:5)?+(-6.5)+(-2-5)+(4.5)+(-1-5)+(-0.5) (4.5)+ (15)+(-0.5)*(-1-5)2+(2.5)2+(3.5)2+(-1.512 13 12.25 +30.25 +42:25 +6.25+20.25+2.25 +0.25+ 20.25 +2.25 0.25+2.25 +6.25 + 12.25+2.25 13 159.5 S = 12.267 3. 502 13 CS Scanned with CamScanner

A) To Compute the Confidence interval Use a distribution B At 95%. of confidence interval level of Significance X = 1-CI x: 1-95.1. No 1- 95 IDO x=1-0.95 = 0.025 - 13 : 0.05 0.05 2. Degree of freedom : Of = n-1 14 -1 Of = 13 from T- Critical value Calculator where Dp 13, X0.05 Tata DF 5,04 -> +0.025,13 t 0.05 = 2.160 Nao, 95 %. Of CI xta (sa => 3.502 => 6.5 + 2.160 Vi4 -> 6.5 + 2.160 X 0.936 > 6.5 +2.021

í 6.5 - 2.021 6.5 +2.021 (4.479,8:52] with 954. Confidence the population mean number of tics Per hour that children with Tourette Syndrome eshibit is between 4-479 and 18.521 tics If many groups of 114) randomly Selected children with Tourette Sundrome are observed then a different confidence interval would be produced from each group · About 195 Percent of these confidence intervals will contain the true Population mean number of tics per hour & about Percent will not contain the true population mean number per hour 5 of tics CS Scanned with CamScanner
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