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Data Table: 5.5 Person 2012 2013 1 6.2 6.5 2 4.7 4.3 3 0.3 3.6 4 5.3 6 5 2.1 3.7

ID: 3227434 • Letter: D

Question

Data Table:

5.5

Person 2012 2013 1 6.2 6.5 2 4.7 4.3 3 0.3 3.6 4 5.3 6 5 2.1 3.7 6 4.1 4.6 7 6.4 5.7 8 2.7 6.6 9 4.9 6.1 10 3.6 4.3 11 3.3

5.5

A fantasy sports website would like to determine if the number of hours fantasy football players spend during the week managing their teams has increased since last year. A random sample of players was chosen, and the number of hours they spent managing their teams was recorded during the first week of the 2012 season. The number of hours they spent managing their teams during the first week of the 2013 was also recorded, with the accompanying results. Perform a hypothesis test using 0.01 to determine if the players spent more time managing their teams in 2013 than 2012. EE Click the icon to view the yearly recorded times. E Click the icon to view a table of critical values for the Wilcoxon signed-rank test. Determine the null and alternative hypotheses. Ho: Players Y time on their teams in 2013 than in 2012. H1: Players time on their teams in 2013 than in 2012. Determine the test statistic, T (Type an integer or a decimal.) What is the critical value for the test, Ta? Identify the decision rule for this test. v reject Ho State the conclusion of the test. Ho. There is evidence to conclude that players in 2013 in 2012.

Explanation / Answer

HO: les then or equal to

Ha: greater

T==2.7786

if T>=2.7636 reject Ho

reject Ho / there is suffiicient.................in 2013 more time......then in 2012

2012 2013 difference(d) 6.2 6.5 0.3 4.7 4.3 -0.4 0.3 3.6 3.3 5.3 6 0.7 2.1 3.7 1.6 4.1 4.6 0.5 6.4 5.7 -0.7 2.7 6.6 3.9 4.9 6.1 1.2 3.6 4.3 0.7 3.3 5.5 2.2 mean(dbar) 1.209 std deviaition 1.4432 sample size 11.0000 std error= std dev/(n)^(1/2) 0.4351 t stat= (dbar)/std error 2.7786