Please read the following question carefully and type the solution down accordingly. distribution 1. X₁, X₂, X3, X₁ is the sample from x that has the normal N(0,4) and a(X₁-2X₂)² +b(3X,-4X₂)² has a x² (n), Find the values of a, b and´n. distrbituion
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![Please read the following question carefully and type the solution down accordingly.
1. X₁, X₂, X3, X₁ is the sample from x that has the normal
distribution
N(0,4) and a(X₁-2X₂2)² +b(3X₂-4X₂)²
has a
x² (n), Find the values of a, b and n.
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- TITT The data shown to the right are from independent simple random samples from three populations. Use these data to complete parts (a) through (d). Sample 1| Sample 2| Sample 3 o 3 5 Click the icon to view a table of values of Fa. 6 2 14 a. Compute SST, SSTR, and SSE using the following computing formulas, where x, is the ith observation, n is the total number of observations, n; is the sample size for population j, and T; is the sum of the sample data from population j. SST = Ex? - (Ex)² /n, SSTR = E (T? /n) - (Ex)² /n, and sSE = SST -SSTR Compute the values required to find SST, SSTR, and SSE. n= Ex = Ex? = E(1; /n) = (Type integers or decimals. Do not round.) Calculate SST, SSTR, and SSE using the computing formulas. SST = (Type an integer or a decimal. Do not round.) SSTR= (Type an integer or a decimal. Do not round.) SSE = (Type an integer or a decimal. Do not round.) b. Compare your results in part (a) for SSTR and SSE with the following results from the defining formulas. SSTR…Q23. A social psychologist records the number of outbursts in a sample of different classrooms at a local school. Answer the questions based on the statement below. (Note: These are not the results from Q19) The number of outbursts among students at this local school (M = 3) was significantly less than that in the general population, t(39) = 4.19, p < .05, d = .25. 23a. What was the sample size?n = 23b. What was the decision?A. Retain H0B. Reject H0Decision = 23c. What was the effect size?A. 39B. 4.19C. .05D. .25 Effect size =Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,17,20,17,17,14,16,21,15,21,15,22 Give the p-value and interpret the results. a) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0003; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = 0.0003; Based on 5% significance level, I will reject the…
- Briefly explain how increasing sample size influences each of the following. Assume that all other factors are held constant. Does tach increase, decrease, or stay the same? (M-u) (M-u)Vn The size of the Z-score Z. = M-u – OM (M-u) The size of Cohen's d d = (Mcr-u) (Mcr-u)vn The power P( 2Z> Mcritical-µuWhich statement is accurate about the relationship between Populations and Samples? It is easier to test the entire population than to make inferences from a sample. If a sample is selected randomly from a population then it will be exactly equal to the population. Any difference between the population and the sample is known as sampling error All 3 statements are trueStudent Absences and Grades on the Final Exam Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable? Question 2: Using Microsoft Excel: SHOW YOUR WORK Times Late/Absent Final Exam Grade 1 9 84.00 2 2 92.50 3 12 52.00 4 5 87.00 5 11 75.00 6 24 45.00 7 7 39.00 8 10 46.00 9 19 63.00 10 2 65.00 11 2 98.00 12 17 24.50 13 8 58.00 14 20 69.50 15 55 49.00 16 23 68.50 17 6 70.00 18 4 75.50 19 2 85.00 20 7 97.00 21 2 97.00 22 2 93.50 23 0 93.50 24 2…
- Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 33 24 41 36 31 38 28 The sample mean is x ≈ 33.0 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 33 26 42 34 28 35 31 The sample mean is x ≈ 32.7 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)- X i Data Table Share Detail (x,) Sample (x2) 0.256 0.103 0.618 0.276 0.098 0.685 0.269 0.108 0.620 0.274 0.108 0.893 0.261 0.101 0.428 0.262 0.03 0.231 0.27 0.082 0.572 0.26 0.085 0.426 0.271 0.103 0.632 0.263 0.085 0.511 0.266 0.081 0.459 0.255 0.103 0.468 0.266 0.092 0.350 e table d all te 0.265 0.07 0.268 0.267 0.106 0.500 0.264 0.111 0.411 0.265 0.097 0.556 0.258 0.066 0.309 0.272 0.115 0.662 0.271 0.135 0.626 Print Done
- coffee extraction One student dissolved 20mg of caffeine in 20mL of water. The student carried out two extractions using 20mL of dichloromethane in each. Caffeine solubility in water: 2.17g / 100mL at 25C Caffeine solubility in dichloromethane: 10.0g / 100mL at 25C a. Determine the distribution coefficient. b. Determine the amount of caffeine obtained in the first extraction. c. Determine the amount of caffeine obtained in the second extraction. d. Determine the total amount of caffeine extracted during the entire process. e. Determine the percent recovery.ACT scores range from 1 to 36 and are normally distributed where N (21.5, 5.4). SAT scores• range from 600 to 2400 and are normally distributed where N (1498, 316). Jorge scores 2090 on the SAT. If both tests measure the same thing, what score on the ACT is equivalent to Jorge's SAT score?Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are longer than 35 centimeters. The biologists will select a random sample of crabs to measure. Which of the following is the most appropriate method to use for such an estimate? A one-sample z-interval for a population proportion A A one-sample z-interval for a sample proportion B A two-sample z-interval for a population proportion C A two-sample z-interval for a difference between population proportions D A two-sample z-interval for a difference between sample proportions
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