Independent Samples t-test:s²p = (SS₁ + SS₂)/(df₁ + df₂)SM1-M2 Vs²p/n₁ + s²p/n₂(x₁ - X₂)SM1-M2df=(n₁-1)+(n₂-1)Formulas vou may needGiven the following data, calculate SM1-M2--Related Samples t-test:Sp=So/√nDS5Non-depressed: M₁= 24, SS₁ = 178Depressed: M₂ = 12, SS₂-122Dr. Smith believes being raised by a depressed parent alters optimism. To test their hypothesis, Dr. Smith has twogroups of students (five non-depressed and five depressed) take a measure of optimism and analyzes their scores.**ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!**t =df = n -1wwwww TABLE A.3 Critical Values for the Student's t Distributiondf123456789101112131415161718192021222324252627282930406012000.10.203.0781.8861.6381.5331.4761.4401.4151.3971.3831.3721.3631.3561.3501.3451.3411.3371.3331.3301.3281.3251.3231.3211.3191.3181.3161.3151.3141.3131.3111.3101.3031.2961.2891.282.05.106.3142.9202.3532.1322.0151.9431.8951.8601.8331.8121.7961.7821.7711.7611.7531.7461.7401.7341.7291.7251.7211.7171.7141.7111.7081.7061.7031.7011.6991.6971.6841.6711.6581.645Level of Significance for One-Tailed Test.025.01Level of Significance for Two-Tailed Test.0231.8216.9654.541.0512.7064.3033.1822.7762.5712.4472.3652.3062.2622.2282.2012.1792.1602.1452.1312.1202.1102.1012.0932.0862.0802.0742.0692.0642.0602.0562.0522.0482.0452.0422.0212.0001.9801.9603.7473.3653.1432.9982.8962.8212.7642.7182.6812.6502.6242.6022.5832.5672.5522.5392.5282.5182.5082.5002.4922.4852.4792.4732.4672.4622.4572.4232.3902.3582.326.005VENTER.0163.6579.9255.8414.6044.0323.7073.4993.3553.2503.1693.1063.0553.0122.9772.9472.9212.8982.8782.8612.8452.8312.8192.8072.7972.7872.7792.7712.7632.7562.7502.7042.6602.6172.576.0005.001636.61931.59812.9418.6106.8595.9595.4055.0414.7814.5874.4374.3184.2214.1404.0734.0153.9653.9223.8833.8503.8193.7923.7673.7453.7253.7073.6903.6743.6593.6463.5513.4603.3733.291SOURCE: Lehman, R. S. (1995) Statistics in the Behavioral Sciences: A Conceptual Introduction. Pacific Grove, CA: Brooks/Cole Publishing.Reprinted by permission of the author.

The sample size for group 1 is 5, the sample mean is 24 and the sum of squares is 178.The sample…

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

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Chapter4: Writing Linear Equations

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Give a brief analysis of the following cross 2?
Strength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows. Can you conclude that the mean strength after three days differs from the mean strength after six days? Let μ1 represent the mean strength after three days and =μd−μ1μ2 . Use the =α0.10 level and the P -value method with the table. Block 1 2 3 4 5 After 3 days 1356 1337 1344 1310 1348 After 6 days 1352 1355 1355 1324 1380 State the appropriate null and alternate hypotheses. test statistic: Estimate the P-value. Identify the form of the interval based on the Critical Values for the Student's t Distribution Table. Determine whether to reject H0 State the conclusion: There enough evidence to conclude that the mean strength after three days differs from the mean strength after six days.
Interpreting Simple Linear Regression 1. Linear correlation coefficient r = 0.794556 2. Coefficient of Determination ( r square) 0.631319 3. Standard Error of the estimate = 12.9668 4. SSR (Explained variation) = 5182.41 5. SSE ( Unexplained variation) = 3026.49 6. SST = 8208.90 7. Predicted equation or equation of the regression line (Y predicted or hat) = 0.725983X + 16.5523 8. Level of Significance = 0.1 9. Critical Value= 0.378419 Question What is the meant by the standard error of the estimate? Which number measures the scatter of points about the regression line?
Interpreting Simple Linear Regression 1. Linear correlation coefficient r = 0.794556 2. Coefficient of Determination ( r square) 0.631319 3. Standard Error of the estimate = 12.9668 4. SSR (Explained variation) = 5182.41 5. SSE ( Unexplained variation) = 3026.49 6. SST = 8208.90 7. Predicted equation or equation of the regression line (Y predicted or hat) = 0.725983X + 16.5523 8. Level of Significance = 0.1 9. Critical Value= 0.378419 Question What is meant by SSR? Which number measures the variation explained by the regression line? Sum of the Squares Regression (SSR); amount of variation in Y explained by the variation in X explanatory variable Sum of the Squares Regression (SSR); amount of variation in X explained by the variation in Y SSR is the percent variation in total variation SST that is explained by the variation in X or SSR/SST = 5182.41/8208.90 = 0.631319 or 63% Both A and C
What conditions are necessary in order to use the dependent samples t-test for the mean of the difference of two populations?
Is there a statistically significant difference between professors and rock stars in terms of political party affiliation? The proportion of professors and rock stars registered as Democrats from a nationally representative sample from each profession is reported below. Please include all steps of the five step model and write a sentence or two interpreting your results (use p= .01, Z(critical) = ± 2.58). Professors Rock Stars Ps1 = .86 Ps2 = .92 N1 = 325 N2 = 287
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A professor of mathematics teaches at a catholic school and at a public school. He wants to know whether attending a catholic school leads to higher grades. He collected data from 7,430 students from both school's types. Considering this information, please answer the following questions: a) How can you interpret the OLS outcome on whether the child attended a catholic school (cathhs) is important to explain students' grade? Source Model Residual Total cathhs lfaminc SS 143098.058 521610.985 motheduc fatheduc 664709.043 df math12 Coefficient Std. err. 17887.2573 8 7,421 70.2885036 7,429 89.4749015 1.623158 .4106669 1.447696 .1431147 .0613988 .7345401 .832485 . 055494 black -5.226717 hispan -1.221689 asian 3.28341 female _cons MS .3915981 .3328612 .4438741 -1.066021 .1950649 16.72931 1.355485 Number of obs F(8, 7421) Prob > F R-squared Adj R-squared Root MSE t P>|t| 3.95 0.000 0.000 10.12 11.96 0.000 15.00 0.000 -13.35 0.000 -3.67 0.000 7.40 0.000 -5.46 0.000 12.34 0.000 = .8181343…
otal plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. (a)Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit ___ upper limit ___ margin of error ___ (b)What conditions are necessary for your calculations? (Select all that apply.) A-the distribution of volumes is uniform B-? is known C-the distribution of volumes is normal D-? is unknown E-n is large d)Find the sample size necessary for a 99% confidence level with maximal margin of error E =…
An economic instructor at UCF is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 19 students who took the course last semester follow # of observation(s) n = 19 # of independent variable(s) = 1 SSR = 3,882 SSE = 256 Find the Value for MSE (Use two decimals)

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