Question

In a study designed to test the effectiveness of magnets for treating back? pain, 35 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 35 patients had pain scores with a mean of 6.0 and a standard deviation of 2.4. After being given the sham? treatments, the 35 patients had pain scores with a mean of 4.3 and a standard deviation of 2.1. Complete parts? (a) through? (c) below. Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... a. Construct the 90?% confidence interval estimate of the mean pain score for patients given the magnet treatment. What is the confidence interval estimate of the population mean mu?? nothingless thanmuless than nothing ?(Round to one decimal place as? needed.)

Answer 1

A) Here t =1.697

margin of error, E = (t score*standred deviation/sqrt(n) )

E=1.697*(2.4/?35)

E=0.68843

xbar -E <? < x bar + E

6-0.68843<<6+0.68843

5.312<<6.689

90%confidential interval estimate of the mean pain score for patients given the magnet treatment is

=(5.312,6.689)(rounded as 3 decimal places)

B)t=1.697

E=1.697*(2.1/?35)

E=0.60238

xbar -E <? < x bar + E

4.3-0.60238<<4.3+0.60238

3.698<<4.903(rounded as 3decimal places)

The 90%confidential interval estimate of the pain score for patients given sham is( 3.698,4.903)

C)Since the confidence intervals overlap, it appears that the sham treatments are no more effective than the magnet treatments.