e) The 90% critical value is: f) The 90% confidence interval for the true mean d

Question

e) The 90% critical value is:

f) The 90% confidence interval for the true mean difference in pain level after hypnosis is: [ ] < d < [ ]

g) Based on your confidence interval in part (f), does hypnosis seem to have a significant effect on pain levels? Why or why not?

No, because 0 is in the confidence interval for the true mean difference.

No, because 0 is not in the confidence interval for the true mean difference.

Yes, because 0 is in the confidence interval for the true mean difference.

Yes, because 0 is not in the confidence interval for the true mean difference.

h) Is your conclusion valid from part the previous part valid? Why or why not?

No, because the sample number of pairs/differences is less than 30 and we do not know if pre and post pain levels have normal distributions

Yes, because the sample number of pairs/differences is less than 30 but we know that pre and post pain levels both have normal distributions   

Yes, because the sample number of pairs/differences is at least 30

No, because the samples are dependent

Yes, because the samples were selected independently

s are recorded in team is interested in the cfffoctiveness of hypnosi in reducing pain. The responses from Brandomly selected patients bofore and after hypnosis are recorded i alues indicate more pain). Construct a 90 confidence interval for the true moan diffenence he tabl levels Ditt Pranco H1 ES 13 29 91 Ea missino tal ble col the pair b) Itthe hypncsis treatment is erettive in reducing pain, we expect the differences (pr Pest c) The point estimate for the true average effect (2) that hypnosis has on pain perceptionis: 2175 d) The poin estimate fur Lhe true standard deviation (sd) of the effect that hypnusis has un pain perception is: RO3 nfidence interval el after hyl (round your arswer to 2 decimals confide nt effect pain levels? W part No, be: all for the true No, boc mfidance intorval for the Yes, bac is in the rval for the true Yas, har 0 is not in the confl for the true mom part the previous part d? Why ar hy not? No, because sample number or painsicimerences w pre post pai mal distributions Yes, because the mple numi pairs/drerenc less than 30 but we kno w that pre and post in lew both have normal distitutions Yes, bec le number of at least 20 No beci clerk lected independe Yes,

Explanation / Answer

a) done

b)to be -ve

c)point estimate =-1.475

d) std deviation =1.022

e) 90% critical value t=+/- 1.8946

f)confidence interval =-3.411 ; 0.461

g) No, because 0 is in the confidence interval for the true mean difference.

h)Yes, because the sample number of pairs/differences is less than 30 but we know that pre and post pain levels both have normal distributions

before after difference(d) 9.7 13.8 -4.1 8.8 11.7 -2.9 12.7 14 -1.3 8.1 12.9 -4.8 14.2 11.3 2.9 10.3 12.4 -2.1 12.8 10 2.8 7.3 9.6 -2.3 mean -1.475 std deviaition 2.8907 std error= std dev/(n)^(1/2) 1.0220 t stat= (d-0)/std error -1.4432

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