An estimator () is said to be a consistent estimator if the bias of (✔) goes to zero as the sample size gets larger and larger and the variance goes to zero. O True False
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- In a hypothetical country called Tritonland, demand and supply of fish are determined by the following system of equations: Q Q = 3+P+v, where Q and P stand for quantity and price respectively, and that u and v are independent Uniform [0, 2]. Suppose we have i.i.d. observations (Qi, Pi)_1 from n markets in equilibrium. Answer the next few questions. = 15 P+u,The Class 2 group for the next Boy's and Girl's Championships female 100m dash has 56 females registered. The average running time of the group is 23 seconds with a variance of 169 seconds. If a random sample of 32 males are taken from the group what is the probability that the sample average running time will be greater than 18 seconds? Select one O a 0.3300 O b. 0.6700 O C.0.5319 O d. 0.46814.33 124 For a population of 1000 items, μ = 50 and o= 10. What is the mean and standard error of the theoretical sampling distribution of the mean for sample sizes of (a) 25 and (b) 81? Ans. (a) x = 50 units and ox= 2 (b) μx = 50 units and ox = 1.07 XX1. +1₁ f+h f th 10 if th
- in studying a problem statement, you find the mean and the variance along with the sample size. The probability distribution to consider it is almost surely The normal The Uniform The Binomial The PoissonIn one of its Spring catalogs, L.L. Bean advertised footwear on 29 of its 192 catalog pages. Suppose we randomly surgery 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once. Calculate the standard deviationQuestion 3 Saved 4) Listen A customer service team receives an average of 376 emails every day. Assume that the standard deviation for the number of emails is 96 emails. A random sample of 40 days was selected. a. What is the expected value of the sample mean? b. What is the standard deviation of the sample mean? Round your answer to two decimal places (e.g. 2.12). c. What is the probability that the average number of emails received was between 360 and 372? Round your answer to two decimal places with a leading zero (e.g. 0.18).
- The fitted values and residuals have the following properties: a. the sample of the average of the residuals is zero b. the sample covariance between each independent variable and the OLS residual is zero c. the sample covariance between the OLS fitted value and the OLS residual is zero d. All of the above is correct ○ a. a O b. b О с. с O d. dAn analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A to the upper 10% of the test grades. To the nearest percent, what is the dividing point between an A and a B grade?Suppose the amount of change IWU students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 IWU students and learn how much change they have. What type of distribution does the population, which is the change carried by IWU students, follow? What are the mean and standard deviation of the population? (6 points) What type of distribution does the sample mean follow? What are the mean and standard deviation of the sample mean? (6 points) Find the probability that the average change of 25 IWU students was between $0.80 and $1.00. Graph the situation, shade in the area to be determined, and find the probability. (6 points)