1.A bacteriologist is interested in the effects of two different culture media and two different times on thegrowth of a particular virus. She performs six replicates of a 22 design, making the runs in random order.Analyze the bacterial growth data that follow and draw appropriate conclusions. Analyze the residualsand comment on the model's adequacy. Use a = 0.05. (Two-Factor Factorial Design)Culture MediumTime122122252612 hr23282425202629273739313418 hr3838293335363035

Approach to solving the question:There are 2 steps to solve this question:Step1: Residual is mainly…

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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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One variety of corn is genetically modified to produce chemicals for defense against predators. The standard corn contains the same standard genotype, but without genetic modification for the chemicals. The two types of corn are then planted in randomly placed adjacent plots across a single field. The amount of predators that are present when the corn has matured are then recorded. The data that was recorded of the predators present among each type are listed. Has genetic alterations decreased the amount of predators for the altered genotype? Normality tests for the populations of both contain a p value less than 0.05. The given alpha is 0.05 Modified Corn (20, 18, 26, 23, 17, 23, 22) Standard Corn (89, 64, 102, 96, 56, 77, 84, 59) use an F test to determine if the variance between the 2 lists are different. Based on this result, state the correct 2 sample parametric test to be used. State the null and alternative. Show calculations while rounding to two decimal points.What is the…
Determine the kurtosis if the data given is a sample.
A pharmaceutical company has developed a drug that is expected to reduce hunger. Totest the drug, three samples of rats are selected with n = 9 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Slart with the df column.) s.s. df. M.S. F Between 3.65 Within 3.12 TOTAL Use the =FDIST() function in Excel to locate the pvalue for this ANOVA: pvalue - Report p-value accurate to at least 6 decimal places. If you use a significance level of a = .05, what would you conclude about these treatments? OThere is a significant difference between treatments OThese data do not provide evidence of a difference between the treatmenES
A farmer has two types of beans and wants to determine which produces a better bean of greater nutritional content. A geneticist was employed to do the investigation examining genotype with nutritional content. The results were as follows: Nutritional Content Genotype High Low bb 8 4 Bb 6 2 Perform a chi square to test the association between genotype and nutritional content. State the null and alternative hypotheses and determine at 95% level of accuracy. Which hypotheses would be accepted?
Turtles are one of the longest existing creatures in the world. Due to several environmental factors, many species of turtles are already endangered. A wildlife biologist would like to study the effect of two randomly selected substrates during incubation (A1 = sand, A2 = vermiculite) and temperature (B1 = 25°C, B2 = 30°C) on the number of days before a turtle egg is hatched. The experiment was laid out in CRD with five replications.
A laboratory has two large format printers installed. During the installation, the manufacturer has stated that the capacity of the printer is to print 20 maps of A4 size in an hour. Owing to various factors such as different students working on the printers, raw materials etc., there is a variation in the number of prints produced per hour. A researcher has taken a random sample of prints produced in 10 hours for printer 1 and 13 hours for printer 2, respectively. The following data gives the number of prints produced on a sampled hour by the two printers:Printer 1 18 19 19 18 17 19 18 19 18 19Printer 2 16 17 17 17 16 18 16 16 17 17 16 16 17Can the researcher ascertain that the variance is from the same population (i.e., population variances are equal)? Consider α = 0.05 as the significance level.
An engineer is performing a DoE including the the RF setting and it affects the etch rate, and she has run a completely randomized experiment with four levels of RF power and five replicates. Calculate SSE
[C10] A randomized block design with 9 treatments and 6 blocks produced the following sum of squares values: SSTotal) = 578, SST = 263, SSB = 129. Find MSE. MSE = 23.25 %3D MSE = 4.65 %3D MSE = 37.2 MSE = 3.875
A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=8n=8 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Start with the df column.) S.S. d.f. M.S. F Between 4.53 Within 4.18 TOTAL Use the =FDIST() function in Excel to locate the p-value for this ANOVA:p-value = Report answer accurate to at least 4 decimal places.If you use a significance level of α=.05α=.05, what would you conclude about these treatments? These data do not provide evidence of a difference between the treatments There is a significant…
A two-way ANOVA experiment with no interaction is conducted. Factor A has four levels (columns) and Factor B has eight levels (rows). Assume normality in the underlying populations. The results include the following sum of squares terms: SST=367.5 SSA = 207.0 SSE = 52.4 a. Construct an ANOVA table. (Round "SS" and "MS" to 2 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation Rows Columns Error Total SS X Answer is complete but not entirely correct. 207.00 X 108.10 X 52.40 367.50 df 7 3 21 31 MS 29.57 X 36.03 X 2.50 F 11.850 X 14.412 X p- value 0.001 0.000
The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.
A two-way ANOVA experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. Assume normality in the underlying populations. The results include the following sum of squares terms: SST=1542 SSA= 1042 SSB = 358 SSAB = 39 a. Construct an ANOVA table. (Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation Rows Columns Interaction Error Total SS 0 df Answer is not complete. 0 MS F p- value 0.000 0.000 0.002

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