A researcher believes that the median annual rainfall in the valley is about 36.0 inches. A randomly selected sample of 20 years had the following numbers of inches of rainfall in the valley:
19)2, 20.8, 22.5, 25.1, 27.1, 27.3, 31.0, 37.2, 37.7, 39.0, 41.1, 42.4, 45.7, 49.0, 49.8, 50.9, 53.1, 55.3, 61.2, 65.8
Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values for the sign test (two tailed, = .05), taken from Table J in the text:
A) Reject, because the test value 6 is greater than the critical value 4.
B) Accept, because the test value 7 is greater than the critical value 4.
C) Reject, because the test value 6 is greater than the critical value 5.
D) Accept, because the test value 7 is greater than the critical value 5.

Question

A researcher believes that the median annual rainfall in the valley is about 36.0 inches. A randomly selected sample of 20 years had the following numbers of inches of rainfall in the valley:
19)2, 20.8, 22.5, 25.1, 27.1, 27.3, 31.0, 37.2, 37.7, 39.0, 41.1, 42.4, 45.7, 49.0, 49.8, 50.9, 53.1, 55.3, 61.2, 65.8
Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values for the sign test (two tailed,  = .05), taken from Table J in the text: 
A) Reject, because the test value 6 is greater than the critical value 4. 
B) Accept, because the test value 7 is greater than the critical value 4. 
C) Reject, because the test value 6 is greater than the critical value 5. 
D) Accept, because the test value 7 is greater than the critical value 5.

Quizplus · Accepted Answer

The Answer of A researcher believes that the median annual rainfall in the valley is about 36.0 inches. A randomly selected sample of 20 years had the following numbers of inches of rainfall in the valley:
19)2, 20.8, 22.5, 25.1, 27.1, 27.3, 31.0, 37.2, 37.7, 39.0, 41.1, 42.4, 45.7, 49.0, 49.8, 50.9, 53.1, 55.3, 61.2, 65.8
Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values for the sign test (two tailed,  = .05), taken from Table J in the text: 
A) Reject, because the test value 6 is greater than the critical value 4. 
B) Accept, because the test value 7 is greater than the critical value 4. 
C) Reject, because the test value 6 is greater than the critical value 5. 
D) Accept, because the test value 7 is greater than the critical value 5.

A Researcher Believes That the Median Annual Rainfall in the Valley