The Small Business Administration (SBA) is a government run organization that oversees the microloan program for small businesses. Microloans are small, short term loans that are less than $ 25,000 with less than a six year term. Due to tougher credit guidelines, the SBA is concerned that microloan amounts have been declining. To investigate this, suppose the SBA collected a random sample of microloans from 2006 and a random sample from 2013. The loan amounts are as follows, in thousands of dollars. These data can also be found in the Excel file microloan.xlsx.

Using α = 0.05, perform a hypothesis test to determine if the median microloan amount in 2013 was less than the median microloan amount in 2006.

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2006 (S) 11.6 16.6 18.5 13.7 22. 18.0 19.3 14.5 8.5 16.5 18.7 7.5 2013 ($) 5.2 12.1 15.5 9.0 10.9 13.1 8.0 7.2 10.1 8.4 14.1 7.4 12.0