The wrist extension in degrees was measured for each of 36 randomly selected individuals as they used a prototype of a new computer mouse. The results were xbar = 20.4 and s=1.5. The researchers wish to test Ho : u=20 versus Ha : u > 20 at the 10% level of significance. (Extension of more than 20o is known to increase the risk of injury under repeated use.)   1. The rejection region for the test is: a) [1.645, infinity) b) [2.326, infinity) c) [1.282, infinity) d) (-infinity, -1.282]U[1.282, infinity) e) (-infinity, -1.645]U[1.645, infinity)   2. The correct decision and justification are: a) Reject Ho because n>30 b) Reject Ho because 20.4 > 20 c) Reject Ho because the test statistic falls in the rejection region d) Do not reject Ho because the test statistic does not fall in the rejection region e) Do not reject Ho because the observed significance is greater than .10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The wrist extension in degrees was measured for each of 36 randomly selected individuals as they used a prototype of a new computer mouse. The results were xbar = 20.4 and s=1.5. The researchers wish to test Ho : u=20 versus Ha : u > 20 at the 10% level of significance. (Extension of more than 20o is known to increase the risk of injury under repeated use.)

 

1. The rejection region for the test is:

a) [1.645, infinity)

b) [2.326, infinity)

c) [1.282, infinity)

d) (-infinity, -1.282]U[1.282, infinity)

e) (-infinity, -1.645]U[1.645, infinity)

 

2. The correct decision and justification are:

a) Reject Ho because n>30

b) Reject Ho because 20.4 > 20

c) Reject Ho because the test statistic falls in the rejection region

d) Do not reject Ho because the test statistic does not fall in the rejection region

e) Do not reject Ho because the observed significance is greater than .10

 

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