
Arnold F. answered 02/27/16
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College Professor & Expert Tutor In Statistics and Calculus
Does the question say there are a total of 45 branches in the company?
Is the question actually asking if the 32 surveyed branches are different from the remaining 13?

Arnold F.
This is a bit of a confusing question.
Usually a claim is made about a (large) population and then a sample is taken to test the claim.
Here the population is of size and the sample of size 32 (almost the whole population) is taken.
To answer the question exactly as asked we would need to calculate the average and standard deviation of the 13 remaining.
That being said a "calculation" can be made using the assumption that the question is really asking "Does the average of 34.8 million indicate the claim of 37 million is incorrect?"
Null hypothesis would be claim is accurate
Alternate hypothesis is claim is not accurate
Based on the wording of the question it would be a two-tailed test with alpha=.05 so the critical z=1.96.
The test statistic for z would be z=(37-34.8) / [6/sqroot(32)].
If this value is greater than 1.96 then reject null hypothesis.
For a one tailed test the critical value would be 1.645.
Does this make sense?
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02/28/16
Freiya J.
Is the question actually asking if the 32 surveyed branches are different from the remaining 13? Yes Sir
02/28/16