Treatrment Placebu As udy was done using a lleatmerl group a d a placebo group T

Question

Treatrment Placebu As udy was done using a lleatmerl group a d a placebo group The 'esults ure nown ?n te able Assume hat he wo samples a e ndependen sr ? e lundum sam standard devlations ar equal. Complete parts (a) and (b) below. Use a 0.10 slgnificance level for both parts. es selec e frul Ibu ed upu ations, and du nu as urne I la the population nonna 216 95 263 0.52 a. Test the claim that the two sumples are from populations with the same mean What ane the null and altamative hypothases? The test staticc s1.45 Round totwo decimal placs as needed) The P-value is 0.155 Ruund to three decimal places as needed.) State thec concusion for the test : A Re ecl the nu hypothesis There is suficient evidence to war aril rejecion ofthe claim that the two sairiples tre forn populations with the seme mean O B. Fal to eject the null hypothesis. Thare is sufficiant avdence to warrant rejection of the dlaim that the two samples are from populations with the same mean ? C Re ecl the nul hypothest There is nol sufficer! evidence to warar?l rejectiun of the darn that the two samples are torn populations with the same mean D. Fal to reject the null hypothesls. Thare ls not sufficlent evidence to warrant rejection of the clalm that the two samples are from populations with the sama maan. b. Construct a confidence Interval sultabla for testing the claim that the two samples are from populations with the same mean.

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary confidence interval:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
(without pooled variances)

90% confidence interval results:

Hence,

The appropriate confidence interval will be:

-0.583 < ?1 - ?2 < 0.043

Difference Sample Diff. Std. Err. DF L. Limit U. Limit ?1 - ?2 -0.27 0.18670725 48.636797 -0.58306925 0.04306925

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