The wrist extension in degrees was measured for each of 36 randomly selected individuals as they used prototype of a new computer mouse. The results were ̅x = 20.4 and s = 1.5. The researchers wish to test H ₀ : [I = ‘20 Versus H _a : [1 > 20 at the 10% of significance. (Extension of more than 20° is known to increase the risk of injury under repeated use.)

1. The rejection region for the test is:
(a) [1.0150∞)

(b) [2.326, x)

(c) [1.282, N)

(d) (-∞, -l.282]U[1.282, ∞)
(e) (-∞, -1.645] U [1.645, ∞)
2. The correct decision and justification are:
(a) Reject H ₀ lx-cmlse n > 30.
(b) Reject H ₀ because 20.4 > '20.
(c) Reject H ₀ because the test statistic falls in the rejection region.
(d) Do not reject H ₀ because the test statistic does not full in the rejection region.
(e) Do not reject H ₀ because the observed significance is greater than, 10.
3. The observed significance (the p-value) of the test is about:
(a) .055

(b) .020

(c) .445

(d) .110

(e) .010

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