Math 1044, Ch 16 (ANOVA) Name: _____________________________
Show all work.
1. Find the following F values.
a. df=(10,4), α=.01 ____________ b. df=(6,7), α=.05 _______________
c. df=(4,10), α=.01 ____________
2. A well-known automotive magazine took three top-of-the-line midsize automobiles manufactured in the U.S., test-drove them and compared them on a variety of criteria. In the area of gasoline mileage performance, five automobiles of each brand were each test-driven 500 miles; the miles per gallon data obtained follow. Use a significance level of 1% to test whether there is a significant difference in the mean number of miles per gallon for the three types of automobiles. Note: I’m not asking you to do the entire hypothesis test. I’m just asking you to identify certain things and to do a few calculations.
Automobile T1 = 100 T1 = 105 T3 = 120
A B C ∑x2 = 7133
19 19 22 21 20 26 20 22 20 19 21 25 21 23 27
a) Set up the hypotheses.
b) Identify the following:
k=________ ∑ x = _________
n1 = _________ n2 = _________ n3 = _________ n = _______
SST = ___________
SSTR = __________
3. At a 5% significance level, do the data provide sufficient evidence to conclude that a difference exists between the mean number of grams of sugar in a fourth of a cup of three different brands of syrup? The sample data are given below. Note: I’m not asking you to do the entire hypothesis test. I’m just asking you to identify certain things and to do a few calculations.
Brand A Brand B Brand C 32 27 22 34 24 25 37 33 32 33 30 22 36 39 21
(Note: 13807 447 ,122 ,153 ,172 2
3 2 1 = = = = = ∑ ∑ x x T T T )
a) Set up the hypotheses.
b) Identify the following:
k=________ ∑ x = _________
n1 = _________ n2 = _________ n3 = _________ n = _______
SST = ___________
SSTR = __________