Inspection trials are carried out in a factory to assess the quality of products. In each trial r¡ products are tested and Y;, the number of satisfactory items in thetrial, is assumed to follow the binomial model Y; Bin(ri, p), where p is the proportion of satisfactory items in the production process.Using inspection data (rı, yı), (r2, Y2), …‚ (˜n, Yn) and assuming independent trials, the following log-likelihood for p was obtained...l(p; data) = 25.8392 + 35 · log(p) + 17 · log(1 − p).A) Determine which of the following (r1, y₁), (r2, y2), …‚ (˜n, yn) is the correct data that yields the given log-likelihood 1(p; data). Note that you do not need todevelop the likelihood from scratch, but to carefully look and use results shown in lectures, notes and exercises.B) Write the maximum likelihood estimate p.

Given that be the number of satisfactory items in the trial and is assumed to follow the binomial…

Answered: Inspection trials are carried out in a…

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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Total 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 45 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 o = 7.60 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.) n is large the distribution of weights is normal o is known the distribution of weights is uniform o is unknown (c) Interpret your results in the context of this problem. The probability that this interval contains the true average…
Total 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. d)Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) =__ male firefighters What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that ? is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that…
A set of data is best fit by y = a, Using linear least squares, determine the coefficient: Select one: a. None b. Ex, /n c. E,y, In d. E,x y,/2,x Previous page Next page
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…
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Fisher's exact p-value 3.0 puntos posibles (calificables, resultados ocultos) In the table of data below, the column labeled Y is the observed outcome and W is the indicator of treatment, i.e. W = 1 indicates that Y in the same row is the observed outcome from a treatment unit, and W = 0 indicates that Y in the same row is the observed outcome from a control unit. Y W 0.5 1 0.2 0 0.4 0 0.7 1 Compute the test statistic T for the Fisher Exact Test. T = Conduct the two-sided Fisher Exact Test on the data above and report the p-value. Fisher's p-value:
A special bumper was installed on selected vehicles in a large fleet. The dollar cost of body repairs was recorded for all vehicles that were involved in accidents over a 1-year period. Those with the special bumper are the test group and the other vehicles are the control group, shown below. Each "repair incident" is defined as an invoice (which might include more than one separate type of damage). Statistic Test Group Control Group Mean Damage x¯1x¯1 = $ 1,101 x¯2x¯2 = $ 1,766 Sample Standard Deviation s1 = $ 696 s2 = $ 838 Repair Incidents n1 = 12 n2 = 9 (a) Construct a 90 percent confidence interval for the true difference of the means assuming equal variances. (Round answers to 3 decimal places. Negative values should be indicated by a minus sign.) (b) Repeat part (a), using the assumption of unequal variances with Welch's formula for d.f. (Round answers to 2 decimal places. Negative values should be indicated by a minus sign.) (d) Construct separate…
Total 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 48 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 σ = 8.00 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) Z=0.005 (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.) the distribution of volumes is normal ✔ is known o is unknown the distribution of volumes is…
ANSWERS ALL PARTS A,B,C A) Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance. B) Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers obtained in 2 rolls of a dice. Calculate E(Y), Var(Y). C) Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z), Var(Z) from the result of part a and b.
Victims of Violence A random survey of 86 women who were victims of violence found that 20 were attacked by relatives. A random survey of 54 men found that 6 were attacked by relatives. At α=0.10, can it be shown that the percentage of women who were attacked by relatives is different from the percentage of men who were attacked by relatives? Use p1 for the proportion of women who were attacked by relatives. Use the P-value method with tables. State the hypotheses and identify the claim with the correct hypothesis. H0: claim/do not claim? H1: claim/do not claim? This hypothesis test is one tailed/two tailed? Compute the test value. Round all intermediate steps to four decimal places and always round z score values to tow decimal places. Z= Compute the P-value. Round the answer to four decimal places. P -value = Make the decision. Reject/do not reject the null hypothesis. Summarize the results. There is/ is not enough evidence to support the claim t
Let n=23 and consider the following information, Model One: Y = Bo + B1X, + B2X2 + B3 X3 + B4X, +e and R 90.62% Model Two: Y Bo + B1X1 + B2X2 + B4X4 + e and R2 = 82.55%, Model Three: Y = Bo+ B1X1 + B2X2 + B3X3 te and R2 Model Four: Y = Bo + B,X1 + B,X, +e and R? 86.85%, 81.19%. %3| Consider testing that Ho : B1 = B2 = B3 = 0. The value of the computed test statistic is Select one: O a. 74.45 O b. 41.83 Oc. 29.96 O d. 43.46
The paired data below show the Coursework marks of 6 randomly selected students from a statistics course at UWI and their Final Exam marks in the same course. Coursework Mark, x Final Exam Mark, y > x yresult summary (result). Call: 1m (formula y x) Residuals: 1 A 27 22 B 28 34 A linear regression equation was found using R, and the output is shown below. 2 3 4 -7.5563 3.5822 0.3659 3.3830 -1.7252 1.9509 Student Coefficients: Estimate Std. Error t value Pr (>t|) (Intercept) 6.2964 4.6774 1.346 0.24949 0.1706 5.048 0.00724 ** 0.8615 C с 12 17 D 41 45 Signif. codes: 0 **** 0.001 **0.01 0.05 0.11 Residual standard error: 4.698 on 4 degrees of freedom Multiple R-squared: 0.8643, Adjusted R-squared: 0.8304 F-statistic: 25.49 on 1 and 4 DF, p-value: 0.007239 E 33 33 F 9 16 a) Write out the model for the simple linear regression. Define all terms used in the model. b) What are the values of the intercept and the slope of the regression equation? c) Write out the regression equation. d) A UWI…

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