Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 11.4, Problem 42E
To determine
Construct the ANOVA table and test all the hypotheses using 1% level of significance.
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The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale).
Student
Sleep time
GPA
1
7
3.28
2
9
3.16
3
8
3.75
4
6
2.50
5
4
2.45
6
8
2.91
7
7
3.53
8
6
3.02
9
3
2.30
10
8
3.48
a. Find the equation between GPA (y) as function of sleep time (x).
b. What is the estimated GPA of a student who averages 5 hours of sleep per night?
c. What is the coefficient of determination?
*(no use EXCEL)
Suppose that we want to compare the cholestrol contents of four competing diet foods on the basis of the following data (in milligrams per package) which were obtained for three 6-ounce packages of each of the diet foods:
Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D: 3.5 3.8 3.8
a)Fill in the blanks below.
b)Test at the 0.05 level of significance whether the differences among means obtained for the four competing diet foods (Diet A, B, C, D) are significant? (Ftable=4.07)
ONE-WAY ANOVA TABLE
Source of Variation
Degrees of Freedom
Sum of Squares
Mean Square
F
Treatments
?
0.54
?
?
Error
?
?
?
Total
?
1.18
A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results:
Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - An experiment was carried out to investigate the...Ch. 11.1 - Four different coatings are being considered for...Ch. 11.1 - Prob. 3ECh. 11.1 - In an experiment to see whether the amount of...Ch. 11.1 - In an experiment to assess the effect of the angle...Ch. 11.1 - A particular county employs three assessors who...Ch. 11.1 - Prob. 7ECh. 11.1 - The paper Exercise Thermoregulation and...Ch. 11.1 - The article The Effects of a Pneumatic Stool and a...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - Prob. 17ECh. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - Prob. 46ECh. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - Prob. 51SECh. 11 - Prob. 52SECh. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - Prob. 57SECh. 11 - Prob. 58SECh. 11 - The bond strength when mounting an integrated...Ch. 11 - Prob. 60SECh. 11 - Prob. 61SE
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- Suppose that we want to compare the cholestrol contents of four competing diet foods on the basis of the following data (in milligrams per package) which were obtained for three 6-ounce packages of each of the diet foods: Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D: 3.5 3.8 3.8 Fill in the blanks below. Test at the 0.05 level of significance whether the differences among means obtained for the four competing diet foods (Diet A, B, C, D) are significant? (Ftable=4.07) source of varation degrees of freedom sum of squares mean squares F treatments ? 0.54 ? ? error ? ? ? total ? 1.18arrow_forwardIn a breeding experiment, chicken with white feathers, small comb were mated and the offspring categories white feathers, small comb (WS), white feathers. large comb (WL), dark feathers, small comb (DS) and dark feathers, large comb (DL) were expected to follow the ratio 9:3:3:1 the researcher observed that there were 100 WS, 32 WL, 40 DS and 20 DL offspring. In order to test if the observed frequencies follow the expected ratio, what should be the hull hypothesis?A. P(WS) = 100/192, P(WL) = 32/192, P(DS) = 40/192 , P(DL) = 20/192 B. P(WS) = 100 , P(WL) = 32, P(DS) = 40, P(DL) = 20 C. P(WS) = 9/16 , P(WL) = 3/16, P(DS) = 3/16, P(DL) = 1/16 D. P(WS) = 9, P(WL) = 3, P(DS) = 3 , P(DL) = 1 2. In Problem 1, what would be the degree of freedom for an appropriate test?A.2 B.3 C.4 D.1 3. What is the value of the computed test statistic in problem 1? A.7.81 B.3.84 C.6.81 D.5.99 5.What would be the p-value for this test in problem 1? A.0.28 B.0.05 C.0.08 D. 0.11 6. At 5-% level of significance,…arrow_forwardIn a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire. Leavers Stayers 1 = 3.09 2 = 2.92 σ1 = 0.78 σ2 = 0.78 n1 = 107 n2 = 222 At α = 0.01, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P-value method.arrow_forward
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