!Required informationCheck myTo assess the effect of piston ring type and oil type on piston ring wear, three types of piston rings and four types of oilwere studied. Three replications of an experiment, in which the number of milligrams of material lost from the ring infour hours of running was measured, were carried out for each of the 12 combinations of oil type and piston ring type.With oil type as the row effect and piston ring type as the column effect, the following sums of squares were observed:SSA = 1.293, SSB = 0.9340, SSAB = 0.2485, SSE = 1.7034.Is the additive model plausible? Provide the value of the test statistic and the P-value. (Round the final answer to three decimal places.The test statistic isP-value: 0.001 < P < 0.015.13The additive model is plausibleSearchS< Prev9 10 11of 20Next >C

The lack-of-fit test assesses the plausibility of an additive model for the effect of piston ring…

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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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A study was carried out to compare the writing lifetimes of four premium brands of pens (factor A). It was thought that the writing surface (factor B) might affect lifetime, so three different surfaces were randomly selected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., constant pressure and a fixed angle). The accompanying table shows the two lifetimes (min) obtained for each brand-surface combination. A B Brand of Pen AB Error Total 1 2 3 4 = 1 Writing Surface 707, 659 668, 685 659, 685 698, 650 5411 SS 2 713, 726 722, 740 668, 684 704, 666 5623 The hypotheses are as follows. 2=0 HOG: G² HaG: G² > 0 HOA: α₁ = α₂ = α3 = 4 = 0 HOB: 0B² = 0 HaA: at least one a, # 0 2 HaB: >0 Carry out an appropriate ANOVA. (Use a = 0.05. Round your answers to two decimal places.) Source df f 3 660, 645 692, 720 678, 750 688, 733 5566 MS XI.. 4110 4227 4124 4139 16,600 Test for an interaction. Find the critical value. (Round your answer to two decimal places.)…
Analyze your data from Exercise 2 (coin toss using 2 coins). Copy your results from there and write under the Observed column. Is my answer correct?
Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article "An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 181 diabetic patients. The results are presented in the following table. Left Foot Right Foot 80 80 85 85 75 80 88 86 89 87 87 82 78 78 88 89 89 90 76 81 89 86 87 82 78 78 80 81 87 82 86 85 76 80 88 89 Construct a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Verify that a linear model is appropriate. b. Compute the least-squares line for predicting the right foot temperature from the left foot temperature. If the left foot temperatures of two patients differ by 2 degrees, by how much would you predict their right foot temperatures to differ? Predict the right foot temperature for a patient whose left…
Compare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?
A traffic office in a country was in charge of a study where the safety of passengers in different types of cars was examined. Three models were examined; small cars, minivans and SUVS and six cars in each category were inspected. A special traffic accident simulator was used in the study and the pressure on the drivers' heads was measured. Umferðarastofa wanted to investigate whether there was a difference in the average pressure on the head during a collision in these three types of cars and used a variance analysis for this purpose. Failed to complete the square sum table, which can be seen below. weekend sum degree of freedom ave week sums between groups (area) 725.4 within groups (area) 178.6 XXX total Questions 1-3 deal with this study by the Traffic Authority. Question 1 What value should be given where xxx is in the table? 1 1.91 2. 2679 3. 3036.2 4. The information provided cannot be answered. Question 2 to be used to check if there is a difference in the average- What is the…
A medical student at a community college in city Q wants to study the factors affecting the systolic blood pressure of a person (Y). Generally, the systolic blood pressure depends on the BMI of a person (B) and the age of the person A. She wants to test whether or not the BMI has a significant effect on the systolic blood pressure, keeping the age of the person constant. For her study, she collects a random sample of 150 patients from the city and estimates the following regression function: Y= 15.50 +0.90B + 1.10A. (0.48) (0.35) The test statistic of the study the student wants to conduct (Ho: B, =0 vs. H4: B, #0), keeping other variables constant is. (Round your answer to two decimal places.) At the 5% significance level, the student will v the null hypothesis. Keeping BMI constant, she now wants test whether the age of a person (A) has no significant effect or a positive effect on the person's systolic blood pressure. So, the test statistic associated with the one-sided test the…
A study was conducted to examine the effect of diet cola consumption on calcium levels in women. A sample of 16 healthy women aged 18 to 40 were randomly assigned to drink 24 ounces of either diet cola or water. Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg) was measured. The data are stored in ColaCalcium.
The spike stature of the plants grown from the seeds of the porcine separates (Dactylis glomerata L) collected from the University campus and İbradı Eynif pasture are given below. In this plant, compare whether there is a difference between regions in terms of spike height. Virgo Height (cm) Data obtained from plants collected from university campus 5 6 8 7 8 6 5 5 4 6 6 Data obtained from plants collected from Eynif pasture 12 9 11 9 9 11 9 10 11 10 Note: Your results interpretation according to two different possibilities (Do it separately, assuming that it is 0.07 and 0.04).
Aircraft primer paints are applied to aluminum surfaces to improve paint adhesion. Theprocess engineering group responsible for this operation is interested in learning whetherthree different primers differ in their adhesion properties. An experiment was designed andconducted to investigate the effect of paint primer type on paint adhesion. For each primertype, six specimens were painted, then a finish paint was applied, and the adhesion force wasmeasured. The data from the experiment are shown in the following table.Adhesion force (MPa)Primer Type X 4.5 4.5 4 5 5.5 5Y 5.5 5.5 6 6.5 7 7Z 3.5 4 3 4 5 4.5a) What type of experiment is this? What type of analysis id needed for the investigation?Break down the details and parameters of this experiment design. You must list theparameters that were considered in the design and also mention the quantity of each.b) Does primer type make a significant impact on adhesion, at 5% significance level?
5) Alcohol consumption is influenced by price and packaging, but what about glassware? Atwood et al. (2012) measured whether the time taken to drink a beer was influenced by the shape of the glass in which it was served. Participants were given a 12 oz. of chilled lager and were told that they should drink it at their own pace while watching a nature documentary. The participants were randomly assigned to receive their beer in either a straight-sided glass or a curved, fluted glass. The data below are the total time in minutes to drink the glass of beer by the 19 women participants in the study. Straight glass: 11.63 10.37 17.89 6.96 20.40 20.64 9.26 18.11 10.33 23.54 Curved glass: 7.46 9.28 8.90 6.73 8.25 6.16 13.09 2.10 6.37 a. Show the data in a graph. What trend is suggested? Comment on other differences between the frequency distributions of the two samples. b. Test whether the mean total time to drink the beer differs depending on beer glass shape.
Determine the kurtosis if the data given is a sample.
You may need to use the appropriate technology to answer this question. An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer computerized electronic Car compact 50 41 Intermediate 56 45 Full Sized 62 46 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?ElectronicH0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?Electronic H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal.H0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sizedH0:…

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