Ans the all three questions

9. a gambler thinks a die may be loaded, that is, that the six numbers are not equally likely. Jo test his suspicion, he rolled the die 150 times and obtained the data shown in the following table. Number 2 3 6 Frequency Do the data provide sufficient evidence to conclude that the die is loaded? Perform the hypothesis test at the 005 level of significance. ( (notes: J.5 =2.45, 2.0 = 11.070) 10. The Japan Clutomobile Manufacture's Casaciation provides data on experted vehicles. In 2005, cars, trucks and busca constituted 86.47 12.1%, and 1.5% of uchicle exports, respectively. This year, a simple random sample of 750 uchicle exports gilded 665 cars, 71 bucks and 14 buses. (It the 107, significance level, do the data provide sufficient evidence to conclude that this year's distribution for exported vehicles differs from the 2005 distribution? ( Cluster: J.S = 5.416, C.V = 4.605) 11. a box contains 15 red, 5 yellout, 12 broum, & orange, 7 green and 13 blue fabric dyes. The following table shows the frequency with each the dye selected Dye Red | yellow Change| Green Blue Frequency 27 24 37 34 at 5%, significance level and conclude that do the data provide sufficient evidence that all the colors are equally selected while dying fabrics. ((notes: J.5 = 40.01, ev = 11.070)