Question

Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 17 0.57 x 0.36 113 a. Use a 0.05 significance level to test the claim that these treated with magnets have a greater mean reduction in pain than those given a shum trement What are the null and alternative hypotheses? O A. Ho 11-12 HH2 1. c. Ho Rih Hi Hi 2H2 OB. Ho: H2 H₂ Hih 1oo. Ho htm The test statistic, t,is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed) Click to select your answer(s) Save for Late This course (Math 119-70) is based on Triola: Elementary Statistics Using the TI 83/84 Plus Calculator, 5e

Answer 1

Claim : Those treated with magnets have a greater mean reduction in pain that those given a sham treatment.

B.  
Но

11
=
112
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11
>
112
  

We have to perform 2 sample t test, we can use TI-84 calculator .

Press STAT key ---> Scroll to TESTS ---> Scroll to 2 sample t test and hit enter.

TI-84 Plus Silver Edition TEXAS INSTRUMENTS EDIT_CALC TESTS 1: Z-Test... 2:T-Test... 3:2-SamPZTest.... 492-Samp TTest... 5:1-PropZTest... 6:2-PropZTest.... 7+ZInterval... STAT PLOTF1 TALSETE? MORMATI CALC F4 TABLE F5

Select Stats and hit enter.

Then plug the given values accordingly

TI-84 Plus Silver Edition TEXAS INSTRUMENTS 2-SIMPTTest Inpt: Data Stats X1:.57 Sx1:.83 n1:17 X2:.36 SX2:1.13 +2:17

Select the sign under Ha

Pooled : No ( because standard deviation are not equal )

TI-84 Plus Silver Edition TEXAS INSTRUMENTS 2-SIMPTTest tni: 17 X2:.36 SX2:1.13 n2:17 11:22 <H2 > Pooled.INC Yes Calculate Draw

Scroll to calculate and hit enter.

TI-84 Plus Silver Edition TEXAS INSTRUMENTS 2-SOMPTTest 11.1.2 t=.6176 p=.2708 df=29.3721 X1=.5700 X2=.3600

Test statistic t = 0.62

P value = 0.271

As P value is greater than α =0.05, we do not reject the null hypothesis H0

There is no significant evidence that those treated with magnets have a greater mean reduction in pain that those given a sham treatment.