4. Suppose that we want to compare the cholestrol contents of four competing dietfoods on the basis of the following data (in milligrams per package) which wereobtained 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 Dietfood D: 3.5 3.8 3.8a) Fill in the blanks below.b) Test at the 0.05 level of significance whether the differences among meansobtained for the four competing diet foods (Diet A, B, C, D) are significant?(Ftable=4.07)ONE-WAY ANOVA TABLESource ofDegrees ofFreedomSum ofMeanFVariationSquaresSquareTreatments?0.54??Error?Total?1.18

The main objective of an ANOVA (one-way) is to compare the means of more than two means to identify…

Answered: 4. Suppose that we want to compare the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An article discussed the opening of a Market. The following data compared the prices of some kitchen staples at the new Market (group 1) and at the old Market (group 2) located 15 blocks away. ITEM GROUP 1 GROUP 2 HALF GALLON MILK 16.8 22.0 DOZEN EGGS 11.7 15.2 ORANGE JUICE (64OZ) 15.6 18.7 HEAD OF LETTUCE 16.7 15.6 1LB GROUND BEEF 17.5 20.8 6OZ TUNA 18.1 19.5 1LB APPLES 14.1 17.0 LINGUINI 21.8 19.5 SALMON STEAK 1LB 13.9 16.5 WHOLE CHICKEN PER LB 20.8 24.0 A. Using a 0.01 level of signifcance and the p-value approach, what is the p-value? And what is your conclusion? Interpret
Four machines M - Mawere each made with three different components B - Bg fitted. The average production capacities [kg / h] of the machines were determined for each component during a test phase. The following values were measured: machine 3 4th B 7.07 8.24 8.43 9.2 B2 9.1 7.98 8.87 8.11 6.07 7th 5.98 6.36 Determine whether there are significant differences in terms of components or machines and calculate the effect sizes, Normal distribution with the same variance can be assumed. Note: q = 14.9477, 1 = 11.0648, 9a =3.5125 Name of the test procedure: O One-way analysis of variance Ot-test for independent samples with homogeneous variances O Two-factor analysis of variance with repeated measures O Two-factor analysis of variance without repetition of measurements Significance level: O 0.5 O 0.05 O 0.01 Overall hypothesis H: O There are no significant differences in terms of components and machines O There are no significant differences in terms of components or machines O There are no…
Department of Research and Development of Unilever Sdn Bhd has conducted a study to improve the quality of production line by measured the weight (in ounces) of 50 bars of soap. The results are as shown in Table 2(b). Table 2(b) Weight of soap 11 12 12 12 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 19 20 (1) Calculate the mean, standard deviation and variance. (ii) By using 6 of class interval, construct a histogram for this data.
Have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? An article reported on an investigation of this issue for various consumer products. Suppose five 6.0 oz tubes of toothpaste of a particular brand are randomly selected and squeezed until no more toothpaste will come out. Then each tube is cut open and the amount remaining is weighed, resulting in the following data: 0.53, 0.64, 0.41, 0.5, 0.35. Does it appear that the true average amount left is less than 10% of the advertised net contents?Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)t= P-value =
Maple syrup is a non-negligible nutritional source of manganese. It is made from the sap of two species of maple: the sugar maple and the black maple. To see if there is a significant difference between the manganese content of these two species of maple, we measured the manganese content (in mg per 100g syrup) for a sample of sugar maples and a sample of black maples. The data is summarized by the Minitab output below: Two-sample T for Sugar Maple Black Maple group N Mean St Dev SE Mean Sugar Maple 20 Black Maple 12 3.55 0.29 Find: (i) a point estimate for ₁-2, where ₁ and 2 are the average manganese contents of the sugar maple, respectively the black maple; (ii) the standard error of X₁ - X₂. A) (i) -0.07; (ii) 0.101 C) (i) -0.26; (ii) 0.097 E) (i) -0.07; (ii) 0.035 3.29 0.22 0.049 0.084 B) (i) -0.26; (ii) 0.188 D) (i) -0.26; (ii) 0.101
Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test. State the appropriate hypotheses. | H₂: M₁ = H₂ = H3 = H4 H₂: all four μ's are unequal • Ho: M₁ = H₂ = H3 = H4 H₂: at least two μ's are unequal ⒸH₂² H₁ H₂ H3 H4 # H: all four μ's are equal O Ho: M₁ #M₂ #H3 H4 H₂: at least two μ's are equal Compute the test statistic value. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence…
Have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? An article reported on an investigation of this issue for various consumer products. Suppose five 6.0 oz tubes of toothpaste of a particular brand are randomly selected and squeezed until no more toothpaste will come out. Then each tube is cut open and the amount remaining is weighed, resulting in the following data: 0.51, 0.63, 0.42, 0.5, 0.35. Does it appear that the true average amount left is less than 10% of the advertised net contents? USE SALT (a) Check the validity of any assumptions necessary for testing the appropriate hypotheses. O The sample was randomly selected and the normal probability plot is not acceptably nonlinear. The sample was selected to represent a range of results and the normal probability plot is not acceptably nonlinear. The sample was selected to represent a range of results and the normal probability plot is not acceptably linear. O…
Solve the following 1.) The following data were obtained in a study of the relationship between the weight and chest size ofinfants at birth. Weight (lbs) Chest Size (cm) 5.64 29.5 4.41 26.3 9.0 32.2 11.32 36.5 7.08 27.2 8.86 27.7 4.74 28.3 8.82 30.3 7.61 28.7 Ans: a.) r= + 0.77 b.) t = 3.193
The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players: n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 For soccer players: n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 Assume that all the data above are normal, use the information above to answer problem (7) Construct a 95% Confidence Interval for the difference in mean CPK values for football players BEFORE and AFTER exercises.

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