Coursepack, p. 689 MAT 133: Ch. 10 Review WS p.3 6. Conventional wisdom says that the average movie length is 2 hours, but you think this is not true. To check your claims, you gather a random sample of 33 movies from IMDb and find their average length is 109.39 minutes with a standard deviation of 17.25 minutes) (Source and Source) n: 53 x= 109.39 S= 17.25 a. Are the requirements for conducting a hypothesis test satisfied? (Note: There are 6.5 million movies listed on IMDb) Explain. Random yes Indp yes Samp Sy 210 you b. Test your claim at a 5% level of significance showing all steps, work, and graphs. (Use minutes, not hours. Hint: How many minutes are in 2 hours?] 0:1= 120 tz x-16_ 109,39-120 liu $ 1 120 17.25 V 33 = 3.5 33 t = - 3.533 off= =32 tvalue= 2p ( t c- 5.539) = 0. 00127 LL A