Compare the method of minimum Chi-square with maximum likelihood estimation.
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A: we have given that n11=15 ,n2=10 ,xbar1=4.93 ,xbar2=2.64 ,and s1=1.14 ,s2=0.66
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Q: A research scholar wants to know how many times per hour a certain strand of virus reproduces. He…
A: From the provided information, Margin of error (E) = 0.2 Mean (µ) = 6.4 Variance (σ2) = 5.29 The z…
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- If the coefficient B₁ has a nonzero value, then it is helpful in predicting the value of the response variable. If B₁ = 0, it is not helpful in predicting the value of the response variable and can be eliminated from the regression equation. To test the claim that B₁ = 0 use the test statistic t = (b₁-0) /sp. Critical values or P-values can be found using the t distribution with n - (k+1) degrees of freedom, where k is the number of predictor (x) variables and n is the number of observations in the sample. The standard error sp, is often provided by software. For example, see the accompanying technology display, which shows that sp=0.076885101 (found in the column with the heading of "Std. Err." and the row corresponding to the first predictor variable of height). Use the technology display to test the claim that B₁ = 0. Also test the claim that B₂ = 0. What do the results imply about the regression equation? Click the icon to view the technology output. Test the claim that B₁ = 0. For…A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 90 % confidence interval with a maximum error of 0.2 reproductions per hour. Assuming that the mean is 11.9 reproductions and the variance is known to be 5.29, what is the minimum sample size required for the estimate? Round your answer up to the next integer.a sample size n=99 is drawn from a population whose standard deaviation is 11 (a) find the margin of error for a confidence interval for u (population mean). round the answer to at least three decimal places the margin of error for a 90% confidence for u (population mean) is
- (d) At the 0.05 level of significance, is there evidence of a linear relationship between the number of cases delivered and the delivery time? (e) Construct a 95% confidence interval estimate of the population slope β1. Interpret the confidence interval estimate. (f) How useful do you think this regression model is for predicting the delivery times?2. In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two - tailed with a = 0.01.(2) Maximum likelihood estimators are unbiased. True False
- The national average for the percentage of high school graduates taking the SAT is 49%, but the state averages vary from a low of 4% to a high of 92%. A random sample of 317 graduating high school seniors was polled across a particular tristate area, and it was found that 171 had taken the SAT. Estimate the lower boundary of the true proportion of high school graduates in this region who take the SAT with 95% confidence. Only the final answer should be rounded-off to THREE decimal places.Aims and objectives of gender pay gap report writing in ukOn average, 0(zero) is expected for the t statistic when the null hypothesis is true. Why? The value for an unknown population mean is estimated with a confidence interval using the t statistic? Why?
- Bayesian statistics uses prior information from past experiments or from previous experience along with present evidence from current experiments/observations. The process combines these two sources of information to obtain a better result usually with fewer tests and usually more accurate (less variance). True False One revises their belief (prior distribution) about the population parameters after getting data (Likelihood) by using Bayes' Theorem. This gives the posterior distribution for f(R) which gives relative weights to each parameter value after analyzing the real data True FalseDiabetes Physicians recommend that children with type-I (insulin dependent) diabetes keep up with their insulin shots to minimize the chance of long-term complications. In addition, some diabetes researchers have observed that growth rate of weight during adolescence among diabetic patients is affected by level of compliance with insulin therapy. Suppose 12-year-old type-I diabetic boys who comply with their insulin shots have a weight gain over 1 year that is normally distributed, with mean = 13 lbs and variance = 13 lbs. (Assume for parts (a) and (b) that weight can be measured exactly and no continuity correction is necessary. Round your answers to four decimal places.) USE SALT (a) What is the probability that compliant type-I diabetic 12 year-old boys will gain at least 17 lbs over 1 year? X (b) Conversely, 12-year-old type-I diabetic boys who do not take their insulin shots have a weight gain over 1 year that normally distributed with mean = 7 lbs and variance = 13 lbs. Answer…While the goal of hypothesis is to test a claim (against Ho), the goal of confidence interval estimation is to estimate a parameter. True False
