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Finite element method. Question: Find the difference star for the variational problem......
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- Question 2 Suppose the school board wished to see whether the age of the student affecis test achievement. The Lesting caordinator separated the raster of high school Students into freshmen, sophomores, juniors, and seniors and randomly selected 20 students from each classification. She then flipped a coin to determine which test format each student would receive and then compared the results as follows: • Freshmen who took the multiple-choice test compared to freshmen who took the fill-in-the blank exam • Muliple chaice saphomares compared to fill-in-the-blank saphomares • Muliple-chaice juniors compared ta fill-in-the blank juniors • Muliple chaice seniors compared to fill-in-the-blank seniors. Randomization still occurred because the testing coordinator flipped the coin to assign the test format to each student. This approach is an example of what type of sampling technique? Your answer: O Simple random sampling O Stratified random sampling O Systematic sampling O Cluster sampling o…3. More types of variables and data Independent and Dependent Variables Many statistical experiments explore relationships between variables. In some cases, one variable (known as independent) predicts another variable (known as dependent). In some cases, several independent variables predict a single dependent variable. In graphical terms, Independent variables are plotted on the X-axis while dependent variables are on the Y-axis. Relationships Between Variables If two variables are distributed consistently, we conclude that a relationship exists. However, you must be careful how you characterize this relationship. Are the variables merely correlated, or is there a causal relationship (that is, one variable causes the other)? Check Your Understanding Identify whether each of the following variables is a nominal, ordinal, discrete, or continuous variable. Variable of interest Eye color Average speed driven Sale price of a car Number of cars sold Survey response (Strongly disagree,…Question 4) Steve and Sue, both being relatively short, have always felt they and their shorter than average friends were getting shorted in pay. They hire you to do some analysis. You divide the population into shorter than average (Shorts) and taller than average (Talls). (Probably don’t refer to your friends in these terms, this is only to help you quickly talk about the samples) Your Shorts sample of 10 people earns on average $22 per hour with a standard deviation of $5. The Talls sample of 12 shows an average earned $18 per hour with a standard deviation of $4. Set up a null hypothesis and an alternative hypothesis Using an alpha of .05 test your hypothesis. (If you get stuck write down what you know.) What did you determine based on your test? Refer to your null and alternative hypotheses. (If you are stuck on part b, make up a result and answer parts c and d based on the result. Make sure to explicitly state what result you are making up so I…
- R4A b cQUESTION 9 The following boxplots show the property crime rate per 100,000 residents in the 50 states grouped by regions. The regions are the Midwest (MW), Northeast (NE), South (S), and West (W). MW- NE S- W- 1500 2000 2500 3000 3500 4000 4500 Property Crime (per 100,000 residents) As measured by the interquartile range (IQR), which region has the lowest variation in property crime rates per 100,000 residents? O A. MW O B. NE OC.S O D.W
- Let's stick with our friend Dr. Fraudulus with the red palm oil and the girls & boys with ADHD... : Source SS df MS F Between treatments 800 k - 1 Factor A (dosage) 360 Levels of A - 1 180 MSA / MSwithin Factor B (gender) 250 Levels of B - 1 250 MSB / MSwithin A x B 190 dfA x dfB 95 MSAxB / MSwithin Within treatments (error) ΣSSinside each treatment Σdfinside each treatment 33.54 Total 5630 N - 1 Solve for the F-ratio for Factor A: hint: look at the fourth column before you start your computations, I've included some values that should help. part dQuestion 7 3.1 Question: The average of a set of exam grades for a class would be a regular or weighted average? Regular average since all the exams for each student carry the same weight in the average calculation. Weighted average since all the exams carry a different weight in the average calculation.Question 7 According to a study conducted by the budget Council the products and the tax valuations are attributed in a table such that there are 14 rows and 12 columns. We need to perform chi square test analysis after valuations. What could be the degrees of freedom for this analysis.
- Problem Solving: Caselet 2 Hydrangea is a flower that changes its color according the the pH of the soil. The flower becomes blue when the pH of the soil is too acidic (pH below 5.5), red when the pH of the soil is too basic (pH above 6.5), and purple when the pH of the soil is exactly between 5.5 to 6.5. A landowner claims that the average pH of their soil can produce perfectly consistent purple flowers with a standard deviation pH of at most 0.5. A flower cultivator thinks the standard deviation of the pH of the soil may be greater than 0.5, so they tested 15 random sites from the land area. Use a level of significance of a = 0.05. 5.30 5.46 5.95 6.23 6.40 5.33 5.55 5.95 6.36 6.40 5.35 5.90 6.00 6.37 6.50QUESTION 3 To calculate the sum of squares for a sample, you subtract the degrees of freedom of the sample from the variance of the sample. O add the degrees of freedom of the sample to the variance of the sample. multiply the degrees of freedom of the sample by the variance of the sample. O divide the degrees of freedom of the sample by the variance of the sample.