The average income in a certain area is assumed to be approximately $35,000. Assume the standard deviation of the incomes in the area to be $8,000.  We wish to test if the average income in the area is less than $35,000.  A SRS of size 36 yields a sample mean of $37,000.   State the appropriate set of hypotheses to test whether the average income of this area is as assumed.  Group of answer choices μ = $8,000 vs Ha: μ < $8,000 Ho: μ = $37,000 vs Ha: μ > $37,000 Ho: μ = $35,000 vs Ha: μ < $35,000 Ho: μ = $35,000 vs Ha: μ ≠ $35,000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average income in a certain area is assumed to be approximately $35,000. Assume the standard deviation of the incomes in the area to be $8,000.  We wish to test if the average income in the area is less than $35,000.  A SRS of size 36 yields a sample mean of $37,000.

 

State the appropriate set of hypotheses to test whether the average income of this area is as assumed. 

Group of answer choices
μ = $8,000 vs Ha: μ < $8,000
Ho: μ = $37,000 vs Ha: μ > $37,000
Ho: μ = $35,000 vs Ha: μ < $35,000
Ho: μ = $35,000 vs Ha: μ ≠ $35,000
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