Question

A researcher working for the Ray-Ban Corporation decides to perform a hypothesis test to investigate whether there is a significant positive correlation between monthly temperature and number of sunglasses sold at one of their locations. The researcher randomly selected the following sample from this location. Monthly Temperature (°F) Number of Sunglasses Sold 80 91 61 34 56 66 99 72 71 74 95 125 43 65 (TEMP SUMS: 2x = 505; E x2 = 38,973) (NBR SUMS: 2 x = 527; E x2 = 44,303) The decision rule for this hypothesis test at a= 5% is:

Answer 1

Answer:-

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Calculations

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os 8= correlation between x andy E(X-lyný) 2082.714286 E(X-)? Ely-y) 5254018571 X 462914286 ช : To test ) . Oo 607 Ho i p=0 VIS HI: po decision Rule, At Q = Oros d.Fch-25 Si treitical : Es, 0.0512 treitical 2.571 HD if +7-2.57) or (two stoled) Reject t > 2:51) 2) test statistic t=8 n-2 0060어 55 J.9079 1-82 H-40.60012 t-1.9079 Here t> 2.571 i so Ho at 4). decisioni Reject 50% significante level Conclusion: theke is a positive correlation between monthly temperature and number of sunglassesie 2014 lat one of their locations Significant

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