SOLUTION: The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they coll

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Question 208460This question is from textbook
: The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean
weekly salary of nurses was larger than that of school teachers. To investigate, they collected
the following information on the amounts earned last week by a sample of school
teachers and nurses.

teachers ($) 845 826 827 875 784 809 802 820 829 830 842 832
nurses ($) 841 890 821 771 850 859 825 829


Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the .01 significance level. What is the p-value?
This question is from textbook

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Chamber of Commerce wanted to know whether the mean
weekly salary of nurses was larger than that of school teachers. To investigate, they collected
the following information on the amounts earned last week by a sample of school
teachers and nurses.
teachers ($) 845 826 827 875 784 809 802 820 829 830 842 832
nurses ($) 841 890 821 771 850 859 825 829

Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the .01 significance level. What is the p-value?
-----------------------------------------
Find the two sample means.
---------------
Ho: u(teach) - u(nurse) = 0
Ha: u(teach) - u(nurse) < 0
-------------------------------
Run a 2-sample z-test to determine the p-value.
If the p-value is less than 1% reject Ho.
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Cheers,
Stan H.

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