Question

show all work please

2. Not all hotdogs have the same calories. Table 31.6 contains calorie data on a random sample of Beef, Poultry, and Veggie dogs. (One extreme outlier for Veggie dogs was omitted from the data.) Does the mean calorie count differ depending on the type of hotdog? You first encountered this topic in Boxplots. Calories Beef Poultry Veggie 110 110 130 130 140 150 160 160 170 170 175 180 180 180 190 190 190 200 210 230 60 60 60 70 70 70 40 45 45 45 50 50 57 60 60 70 80 80 81 90 95 100 100 110 90 100 100 100 110 110 110 120 130 140 150 Table 31.6. Calorie content of hotdogs. a. Verify that the standard deviations allow the use of ANOVA to compare population means. b. Use technology to run an ANOVA. State the value of the F-statistic, the degrees of freedom for F, the p-value of the test, and your conclusion. c. Make boxplots that compare the calorie data for each type of hot dog. Add a dot to each boxplot to mark the sample means. Do your plots help confirm your conclusion in (b)?

Answer 1

2)

data

Beef	Poultry	Veggie
110	60	40
110	60	45
130	60	45
130	70	45
140	70	50
150	70	50
160	80	55
160	90	57
170	90	60
170	100	60
175	100	70
180	100	80
180	110	80
180	110	81
190	110	90
190	120	95
190	120	100
200	130	100
210	140	110
230	150

Anova Result

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Beef	20	3355	167.75	1022.302632
Poultry	20	1940	97	737.8947368
Veggie	19	1313	69.10526316	494.4327485
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	101620.4605	2	50810.23026	67.19733235	1.31502E-15	3.161861165
Within Groups	42343.53947	56	756.1346335
Total	143964	58

a)
the largest sample SD is not larger than twice the smallest.

here largest variance is less than 4 times the smallest

b)
F = 67.1973
df1 = 2
df2 = 56

p-value = 0
p-value < alpha
we reject the null hypothesis
we conclude that there is significant difference

c)

Veggie L.Beef Poultry