Question

1. An online survey claimed that household income of athletes vary by sport. In order to verify this claim, five sports enthusiasts are sampled who participate in 6 different sports and obtains the income (in $1,000s) Snorkeling Sailing Windsurfing Bowling Triathalon Off road Triathalon 79.3 64.5 47.7 90.9 86 93.6 87.6 95 94. 6 75.9 75.6 83.1 758 67.2 79.6 628 59.6 68 98.8 78.5 59.2 98.4 82.5 80.5 73.2 66.5 Xbar Xbar = 93 5 Xbar = ** 89.4 Xbar = 77.9 77.3 Xbar =64 Xbar = 57.4 Sample var = 28.8 Sample var = Sample var = Sample Sample Sample var = 7.4 var = 10.3 var = 66.4 28.5 Grand mean = 76.6

Answer 1

Solution Page-1 Brablem of Experments of Design. (Mentioned labor) firet donate the Madel. Campletely Rondomize Design This is a Hore the hypotheses is, Let us This is Modeli Mt tit Cüj j= IC1)5 Symbsli have theise wuyual meani ng Total obsenwation = 6xS 2 30=n. Vs Hz: Net Hto, to Ghical Regionir We will regect the Ho at 5%. Lovel of signeticance i ods f is granten than Fa, K-a,n-k.

provided the dato, We Page-2 are ond Sample var and X bar 's and Grond mean. We will ealenlate 155 (uatment scom of Squeane) Sum Sum of Square of Sample vani' ance 2, Сл 4552 5. -(43748-65+399 43-92 +30342.08 Total Raa Suns of squarest %3D 20 50 5-608 + 16485.28 - 195 5 G= Gorand Meon. 2. d;,? 2. (76.6) 181507 84 30 195.58 181 507.8 4 = 18 1 31 2.84 18131281 errex = SSE Sum of square 150829.928 t8K$7.64 30 482-912 30165-98 obs Fz : 23.75 0 %3D 1270.12 SS E 30-6

Page -3 to.05, 5,24 = 2:41 ::. Hence f fo. os, 5, 24 We ryect Ho, and anclude that " Ineme of athlets vary by sport" ANOVA Table MS Source of Variation SS Degries af freedom Treatments 30165-9 150829.928 23-75 Ervror 30482-912 1270.12 24 Total 181312-84
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