Question

Bobby Beefeater really loves to eat hamburgers. However, he also is conscientious about the amount of calories he eats every day. HIS TWO favorite burger joints are: Happy Burger and Burger Delight. He visits both restaurants a number of times and takes them to a lab to determine the number of calories in each hamburger. Test to determine if there are significant differences in the number of calories at the two hamburger joints using a -0.05. Conduct a hypothesis test, use the traditional method. Show all 5 steps of your hypothesis test. Happy Burger: - X1 - 220 calories 51-24 calories - 5 Burger Delight - X3 - 265 calories 52 28 calories

Answer 1

M - 220 de =265 51=24 $z=28 M= 5 m =9 Pe T. Null hypothesd Ho : M, EM Alternate He iM #Mz e Sample F test hypothesis two Failed b test Significance level 2=0.05 de = ntn2=5+9-2= 12 df = 12 x=005 - cortical values = f 2.179 Rejection Region Regect He if F(-2.179 g FS 2.179 Dest stabiai E Arama + 220-265 Naudo test statistic = (3.164) +254 = -3.764

P-value = 2p(T <t) 2 (T2 -3 4 4) - df =12 5210.00ul LR Value = 0.0082 Herep-value is less than alpha so derechnuli hypothesis There is sufficient evidence to conclude that means of two Populatims are different af 2=0.05 level