ourse Hor 7.3.23 Question Help Homework in a study designed to test the efflecti
ID: 2933844 • Letter: O
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ourse Hor 7.3.23 Question Help Homework in a study designed to test the efflectiveness of magnets for treating back pain, 40 patients were given a treatment with magnets and also a sham treatment without magnets. Pain was measured using a scale from 0 (no pain) to 100 (extreme pain). After given the magnet treatments, the 40 patients had pain soores with a mean of 1 1.0 and a standard deviation of 2.3 After being given the sha treatments the 40 patients had pain scores with a mean of 12.8 and a standard deviation of 26 Complete parts (a) through (c) below. Quizzes &1 Study Plan Click here to view at distrbution table Gradebook Cick here tov StatCrun a Construct the 96% co dence interval estrate of the mean pain score for patents oven the magnet treatment Chapter Co Tools for Su (Round to one decimal place as needed ) Click here to yew page 1 of the standard normal distribution table. what is the confidence interval estimate of the population mean ? Enter your answer in the edit fields and then click Check Answer Purchase O Clear A Pearson Tu remaining Services Course Tools To see what to study next,go to your Stucty Plan. OKExplanation / Answer
a) we know that confidence intervel is given by
mean +/- margin error
margin error = z*s/sqrt(n)
here s=2.3 , mean =11 and n=40
from standard distribution table , the value of z at 95 % level is 1.96 (The critical value for a 95% confidence interval is 1.96, where (1-0.95)/2 = 0.025)
margin error =1.96*2.3/sqrt(40)
=0.712777385
95% confidence intervel = 11-0.712777385 , 11+0.712777385
=(10.28722261,11.71277738)
=(10.3,11.7) round to one decimal place
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