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
