1. A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are shown in the table below. A lower score indicates less pain. The "before" value is matched to an "after" value and differences are calculated (after minus before; I ask you to com- plete the table by computing these differences). Assume the population of differences is approximately normal. Are the sensory measurements, on average, lower after hypnotism? Test at a 2.5% significance level. Subject: After Before Difference B| C|D|E | F | G | H_ 6.9 1.9 7.7 8.7 8.7 5.6 3.0 2.1 6.7 6.0 9.3 10.5 11.9 7.6 5.9 11.7 (a) Complete the table above, by computing the differences. (b) Provide the null and alternative hypotheses for this hypothesis test. Ho: Ha: (c) The test statistic t= (round to two decimal places as needed) (d) The p-value p= (round to four decimal places as needed) (e) State your conclusion: REJECT or FAIL TO REJECT Ho. At a 2.5% level of significance, there is SUFFICIENT or INSUFFICIENT evidence to conclude that the sensory measurements, on average, are lower after hypnotism. (Circle the correct capitalized word or phrase in each of the two places a choice is given.)

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1. A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for
randomly selected subjects are shown in the table below. A lower score indicates less pain. The "before"
value is matched to an "after" value and differences are calculated (after minus before; I ask you to com-
plete the table by computing these differences). Assume the population of differences is approximately
normal. Are the sensory measurements, on average, lower after hypnotism? Test at a 2.5% significance
level.
A | B | C | D
6.9 1.9 7.7 8.7
6.7 6.0
FGH
Subject:
After
Before
Difference
E
8.7 5.6 3.0 2.1
10.5 11.9 7.6 5.9 11.7
9.3
(a) Complete the table above, by computing the differences.
(b) Provide the null and alternative hypotheses for this hypothesis test.
Ho:
Ha:
(c) The test statistic t =
(round to two decimal places as needed)
(а) The p-value p -
(round to four decimal places as needed)
(e) State your conclusion: REJECT or FAIL TO REJECT H9. At a 2.5% level of significance, there is
SUFFICIENT or INSUFFICIENT evidence to conclude that the sensory measurements, on average, are
lower after hypnotism. (Circle the correct capitalized word or phrase in each of the two places a choice is
given.)
Transcribed Image Text:1. A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are shown in the table below. A lower score indicates less pain. The "before" value is matched to an "after" value and differences are calculated (after minus before; I ask you to com- plete the table by computing these differences). Assume the population of differences is approximately normal. Are the sensory measurements, on average, lower after hypnotism? Test at a 2.5% significance level. A | B | C | D 6.9 1.9 7.7 8.7 6.7 6.0 FGH Subject: After Before Difference E 8.7 5.6 3.0 2.1 10.5 11.9 7.6 5.9 11.7 9.3 (a) Complete the table above, by computing the differences. (b) Provide the null and alternative hypotheses for this hypothesis test. Ho: Ha: (c) The test statistic t = (round to two decimal places as needed) (а) The p-value p - (round to four decimal places as needed) (e) State your conclusion: REJECT or FAIL TO REJECT H9. At a 2.5% level of significance, there is SUFFICIENT or INSUFFICIENT evidence to conclude that the sensory measurements, on average, are lower after hypnotism. (Circle the correct capitalized word or phrase in each of the two places a choice is given.)
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