Fishing shore or Boat? Oct Nov Dec Jan feb march April B:shore 1.6 1.8 2 3.2 3.9

Question

Fishing shore or Boat? Oct Nov Dec Jan feb march April B:shore 1.6 1.8 2 3.2 3.9 3.6 3.3 A: boat 1.5 1.4 1.6 2.2 3.3 3 3.8
use a 1% level of significance to test if there is a difference inthe population mean hours per fish caught using a boat comparedwith fishing from the shore. Fishing shore or Boat? Oct Nov Dec Jan feb march April B:shore 1.6 1.8 2 3.2 3.9 3.6 3.3 A: boat 1.5 1.4 1.6 2.2 3.3 3 3.8 Oct Nov Dec Jan feb march April B:shore 1.6 1.8 2 3.2 3.9 3.6 3.3 A: boat 1.5 1.4 1.6 2.2 3.3 3 3.8 Oct Nov Dec Jan feb march April B:shore 1.6 1.8 2 3.2 3.9 3.6 3.3 A: boat 1.5 1.4 1.6 2.2 3.3 3 3.8

Explanation / Answer

n1=7, xbar1=2.77, s1=0.94 (shore) n2=7, xbar2=2.4, s2=0.97 (boat) =0.01, t(0.005, df=n1+n2-2=12) = - 3.05 (check student ttable) The test hypothesis is Ho: 1=2 Ha: 1 not equal 2 The test statistic is t=(xbar1 - xbar2)/[(s1^2/n1)+(s2^2/n2)] =(2.77-2.4)/sqrt(0.94^2/7+0.97^2/7) =0.72 Since t=0.72 < 3.05, do not reject Ho. Thus, there is nodifference in the population mean hours per fish caught using aboat compared with fishing from the shore.

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