The sample mean and standard deviation for a sample size of n = 4 are x¯ = 76, 831 and s = 180. The highest and lowest values are x4 = 77, 048 and x1 = 76683, respectively. Calculate the values of x2 and x3.
TOPIC: Finding the missing values from the given values of mean and standard deviation.
The sample mean and standard deviation for a sample size of n = 4 are x¯...
Let X1,X2,X3,X4 be observations of a random sample of n-4 from the exponential distribution having mean 5, What is the mgf of Y-X1 X2 X3 X4? 4. 5. What is the distribution of Y? What is the mgf of the sample mean X = X+X+Xa+X1 ? 6. 7. What is the distribution of the sample mean?
2.Let Xj,X,, Xj, X4, Xj be a random sample of size n-5 from a Poisson distribution with mean ?. Consider the test Ho : ?-2.6 vs. H 1 : ? < 2.6. a)Find the best rejection region with the significance level a closest to 0.10 b) Find the power of the test from part (a) at ?= 2.0 and at ?=1.4. c) Suppose x1-1, x2-2, x3 -0, x4-1, x5-2. Find the p-value of the test.
Let X1, X2, ..., Xn be a random sample of size n from the distribution with probability density function f(x;) = 2xAe-de?, x > 0, 1 > 0. a. Obtain the maximum likelihood estimator of 1. Enter a formula below. Use * for multiplication, / for divison, ^ for power. Use mi for the sample mean X, m2 for the second moment and pi for the constant 1. That is, n mi =#= xi, m2 = Š X?. For example,...
Let X1, X2, ..., Xn be a random sample of size n from the distribution with probability density function f(x1) = 2 Æ e-dz?, x > 0, 1 > 0. a. Obtain the maximum likelihood estimator of 1 . Enter a formula below. Use * for multiplication, / for divison, ^ for power. Use m1 for the sample mean X, m2 for the second moment and pi for the constant n. That is, m1 = * = *Šxi, m2 =...
A sample mean, sam ple size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 10% significance level. X-27, s-4, n-24, Ho : ?-29, Ha : ? 29 EEB Click here to view a partial table of values of to The test statistic is t- Round to two decimal places as needed.)
Suppose four x-variables are candidates to be in a model for predicting y. The sample size is n - 50 and SST。= 884.8. SSE values for all possible models (which all include an intercept term) are given in the table below, SSEModelSSEModel 452.2 X1.X2297.9Xi.X2,X3 SSE 261.6 262.2 297.6 273.2 Жу 279.5 | Х, X4 | 370.7 | XiXyX 389.3X2.X3262.5XiX3.X4 X2X4 | 309.3 | X1.X2X3Xi | 26 1.6 X3.X4273.3 (a) Complete the following Best Subsets table. VarsR-SqR-Sq (adj)Mallows Cp 1 2...
Additional Problem A researcher collected data on Y and four X-variables: X1, X2, X3, X4, and he wants to obtain a regression model. However, he is not sure if all the four X-variables should be included in the model. He provides you with the information shown below, namely, the SSR obtained when Y was regressed on each subset of X-variables. Also given: SST-100, and that the sample size is n 12. Your task Apply the Forward-Stepwise selection method, with a-to-enter-...
countries sample size sample mean sample standard deviation brazil n=20 X1=3.48 S1=1.78 Ireland n=20 X2=2.17 S2=1.41 A) Test at 5% level individually if the mean percentage for each of the means is different from 10%. B) Obtain a 95% confidence interval for the difference of means for the two countries. C) Test an appropriate pair of hypotheses for the two means at 5% level of significance.
A sample of size n = 36 is selected from a population with mean E(X) = 52 and standard deviation SD(X) = 26. The expected value E(x) and standard deviation SD(x) of the sampling distribution of the sample mean x are: 52 and 4.33, respectively 52 and 18.78 respectively 52 and 26, respectively 52 and 0.85 respectively 52 and 0.72 respectively
A sample of size n = 49 is selected from a population with mean E(X) = 58 and standard deviation SD(X) = 22. The expected value E(x) and standard deviation SD(x) of the sampling distribution of the sample mean x are:_______________ A) 58 and 0.67 respectively B) 58 and 22, respectively C) 58 and 9.88 respectively D) 58 and 3.14, respectively E) 58 and 0.45 respectively