Q3 A researcher wish to compare four manufacturing methods on the breaking strengthof plastic. Four types of machines are used in this experiment. He believed thatmachines have an effect on the plastics breaking strength. However, each machinecan operate only three methods during the experiments on a given day. Table Q3shows the data of the experiment.Table Q3: Four manufacturing methods on the breaking strength of plasticManufacturing MethodsMachine21A=73C=73D=752A=74B=75C=753B=67C=68D=724A=71В-72D=75What is the name of the design? Write an appropriate statistical modelthen list the assumptions and identify the terms.(a)(b)Is this design symmetric ? Justify your answer.State if the design balance or not. Discuss how to achieve balance in thisdesign ? Justify your answer.(c)(d)Test the hypothesis at a = 0.05 whether there is an effect of the fourmanufacturing methods on the breaking strength of plastics.

*Answer: *a This is an LSD design since we have two sources of blocking. The model is: Yijk = pi +…

Answered: hines have an effect on the plastics…

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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Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is…
man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours? a. The predicted grade for 10 hours is more than 100, which is impossible. b. The value of 10…
i need this. HELP ASAP 13) The categorical variable marital status has the following values: single, married,separated, divorced, and widowed. To include marital status in a multiple regressionmodel, how many indicator variables will be included?A) ThreeB) TwoC) FiveD) OneE) Four
ONLY NEED ANSWERS TO STEP 4 AND 5 t test for Independent Means. Professor Wolinsky hypothesizes that type of TV show impacts people’s mood. To study this, she uses two groups: the experimental group who watches reality TV shows for three hours, while the control group watches the news for three hours. Each of the groups then completes an assessment of mood. In all, 32 people participate: 17 watch reality TV shows and 15 watch the news. The Mean, Sample Size, and SS for each group are below. Using these data, conduct a t test (p<.05) to determine if TV show type had an impact on an individual’s mood. Reality TV Shows: News: N = 17 N = 15 M = 34 M = 24 SS = 340 SS = 251 Step 1) Create a research hypothesis and a null hypothesis about the populations. Null hypothesis (H0): Research hypothesis (HA): Step 2) Determine the characteristics of the comparison distribution. Degrees of freedom for…
- Input the data in IBM SPSS - State the step by step process and explain Case analysis: Workers at a tree farm decided to test the efficacy of three fertilizer mixtures (A,B and C) on the growth of Norway maple seedlings, Acer platanoides. The table below contains the heights of seedlings (in feet) for the three fertilizer treatments. Determine if there are significant differences in the heights among the three treatments. Use also the appropriate posthoc for mean separation, if necessary. A 2.0 2.1 2.4 ~23m 2.8 489 2.9 3.1 3.2 3.7 278 AW 3.8 4.1 STATISTICAL TOOL USED: CONCLUSION: B 2.3 2.9 1.5 1.2 1.9 1.9 3.4 NW 2.1 2.6 2.4 с 3.1 1.5 2.2 2.9 1.7 2.1 2.8 1.5 2.8 2.2
R2.43. Vehicle weights The Minnesota Department of Transporta- tion hoped that they could measure the weights of big trucks without actually stopping the vehicles by using a newly developed "weigh-in-motion" scale. After installation of the scale, a study was conducted to find out whether the scale's readings correspond to the true weights of the trucks being monitored. In Chapter 6, Exercise 52, you examined the scatterplot for the data they collected, finding the association to be approximately linear with R² = 93%. Their regression equation is Wt = 10.85 +0.64 Scale, where both the scale reading and the predicted weight of the truck are measured in thousands of pounds. a) Estimate the weight of a truck if this scale read 31,200 pounds. b) If that truck actually weighed 32,120 pounds, what was the residual? c) If the scale reads 35,590 pounds, and the truck has a residual of -2440 pounds, how much does it actually weigh? d) If the police plan to use this scale to issue tickets to…

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