2 different treatments were used to speed the relief time(in minutes) of migraines. 8 subjects received eachtreatment. The recovery times are listed below.Treatment 1: 2019292534323938Treatment 2: 18181617 29282137Construct a 90% confidence interval for the difference inthe relief time between the 2 treatments.

Given that, Sample size n=8 The difference between two paired samples is calculated using formula d=Treatment 1-Treatment 2 as follows: Treatment 1 Treatment 2 Difference (d) 20 18 2 19 18 1 29 16 13 25 17 8 34 29 5 32 28 4 39 21 18 38 37 1 Mean and standard deviation of difference is calculated using EXCEL functions as given below: Mean: “=AVERAGE (select array of data values)” Standard deviation: “=STDEV (select array of data values)” The mean of the difference is d¯=6.5. Standard deviation of difference sd=6.164Critical value: The two tailed t critical value at 7 degrees of freedom and 90% confidence level is 1.8946. Calculation: The 90% confidence interval for the difference in relief time between 2 treatments can be calculated as follows: CI=d¯±tcsdn=6.5±1.89466.1648=6.5±4.12891=2.371, 10.629 Thus, the 90% confidence interval for the difference in relief time between 2 treatments is (2.371, 10.629).

Answered: Treatment 1: 20 19 29 25 34 32 39 38…

Math

Statistics

Treatment 1: 20 19 29 25 34 32 39 38 Treatment 2: 18 18 16 17 29 28 21 37 Construct a 90% confidence interval for the difference in

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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