Hypnotism in Reducing Pain:a study was conducted to investigate the effectiveness of hypnotism in reducing pain.Results for randomly selected subjects are given in the accompanying table.The values are before and after hypnosis, the measurements are in centimeters on a pain scale.At 5% test the claim that the sensory measurements are lower after hypnosis.

Subject

1 2 3 4 5 6 7 8

Before 6.6, 6.5, 9.0, 10.3, 11.3, 8.1, 6.3, 11.6

After 6.8, 2.4, 7.4, 8.5, 8.1, 6.1, 3.4, 2.0

Let0=0

H0uD=0

a)State H1 in symbols and in words.Identify which hypothesis is the claim and determine the type of test (right-tail, left-tail, two tail).

b)Determine the critical value and label it(for example, z = 1.96or t = -2.421, etc).

c)Compute the test value.If you are using the p-value method, then include the p-value of the test.

d)Make the decision toReject HoorDo not reject Ho.

e)State your conclusion.