Consider the following data
x 0 1 2 3 4
Pr(X=x) .16 .19 .36 .18 .11
a) calculate expected value
b) calculate E[X2]
c) calculate Var(X)
d) calculate the standard deviation
2. For the following data: 1 2 3 4 5 6 16 20 18 17 18 21 a. Calculate the sample mean and sample variance b. Calculate the probability that the population mean is between 9 and 10 if the population standard deviation is known to be 2.3. What is the 95% confidence interval for the population mean if the population standard deviation is known to be 2.3? d. Calculate the 95% confidence interval using the sample standard deviation. c.
For the following data: 1 2 3 4 5 6 16 20 18 17 18 21 a. Calculate the sample mean and sample variance b. Calculate the probability that the population mean is between 9 and 10 if the population standard deviation is known to be 2.3. What is the 95% confidence interval for the population mean if the population standard deviation is known to be 2.3? d. Calculate the 95% confidence interval using the sample standard deviation. c.
Consider the following sample data values. 3 17 1 19 13 8 18 11 a) Calculate the range b) Calculate the sample variance. c) Calculate the sample standard deviation. a) The range is 18 b) The sample variance is (Round to two decimal places as needed.)
2. For the following data: 1 2 3 4 5 5 6 16 20 18 17 18 21 1. Calculate the sample mean and sample variance b. Calculate the probability that the population mean is between 9 and 10 if the population standard deviation is known to be 2.3. c. What is the 95% confidence interval for the population mean if the population standard deviation is known to be 2.32 d. Calculate the 95% confidence interval using the sample standard...
Consider the following sample data: x 32 23 18 36 13 40 35 24 y 31 37 34 60 25 45 43 38 Click here for the Excel Data File b. Calculate b1 and b0. What is the sample regression equation? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) yˆy^ + x c. Find the predicted value for y if x equals 11, 16, and 21. (Round intermediate coefficient values and final answers to...
. Consider the following data: Values of X 0 2 6 8 12 12 Associated probabilities P(x) 0.1 0.2 0.4 0.2 0.1 Find the expected value , E(X), that is μΧ 5 6 a) Note E (X) Σ XP(X) b) Find the variance of X, that is, ox Note Var(X): σ/ E(X2) -μα2 Where E(X) X P(X)
For observations {Y, X;}=1, recall that for the model Y = 0 + Box: +e the OLS estimator for {00, Bo}, the minimizer of E. (Y: - a - 3x), is . (X.-X) (Y-Y) and a-Y-3X. - (Xi - x) When the equation (1) is the true data generating process, {X}- are non-stochastic, and {e} are random variables with B (ei) = 0, B(?) = 0, and Ele;e;) = 0 for any i, j = 1,2,...,n and i j, we...
Problem # 2 (18 pts). Calculate the correlation coefficient, r, for the data below. 6 8 x Y 4 20 13 3 10 8 7 9 11 13 10 5 12 15 12 4 5 17 A) - 0.778 B) -0.671 C) -0.995 D) - 0.885 Problem # 3 (16 pts). Find the sample standard deviation for the following data set. (Show your work). 22 29 24 24 28 28 25 36 Choose the one choice that best completes the...
Consider the following sample data 147 16 18 8 9 Calculate the z-score for the following values. a. 19 b. 3 C. d. 16 a. The z-score for 19 is (Round to two decimal places as needed)
Question 19 Gizmo's Inc. Quantity Price 0 $20 1 $18 2 $16 3 $14 4 $12 5 $10 6 $8 7 $6 8 $4 9 $2 10 $0 According to the table above, at what level of output is marginal revenue equal to $14? A. 1 B. 3 C. 4 D. 2 E. 5