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Q1: Assume that the number of furniture sold at a local furniture store on any given day and the corresponding probability are as follows. X P(X) 2 4 0.25 0.5 6 0.25 Where X = Number sold in a day, P(X)= the probability. a. Compute how many units can be sold per day on average. b. Compute the corresponding standard deviation for the units sold per day. c. Find the sampling distribution of the sample mean for a random sample of n = 2 measur from the distribution. d. Show that the sample mean is an unbiased estimator of μ. e. What is the standard deviation of this sampling distribution?

Q1: Assume that the number of furniture sold at a local furniture store on any given day and the corresponding probability are as follows. X P(X) 2 4 0.25 0.5 6 0.25 Where X = Number sold in a day, P(X)= the probability. a. Compute how many units can be sold per day on average. b. Compute the corresponding standard deviation for the units sold per day. c. Find the sampling distribution of the sample mean for a random sample of n = 2 measur from the distribution. d. Show that the sample mean is an unbiased estimator of μ. e. What is the standard deviation of this sampling distribution?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Q1: Assume that the number of furniture sold at a local furniture store on any given day and the corresponding probability are as follows. X P(X) 2 0.25 4 0.5 6 0.25 Where X = Number sold in a day, P(X)= the probability. a. Compute how many units can be sold per day on average. b. Compute the corresponding standard deviation for the units sold per day. c. Find the sampling distribution of the sample mean for a random sample of n = 2 measurements from the distribution. d. Show that the sample mean is an unbiased estimator of μ. e. What is the standard deviation of this sampling distribution?
Transcribed Image Text:Q1: Assume that the number of furniture sold at a local furniture store on any given day and the corresponding probability are as follows. X P(X) 2 0.25 4 0.5 6 0.25 Where X = Number sold in a day, P(X)= the probability. a. Compute how many units can be sold per day on average. b. Compute the corresponding standard deviation for the units sold per day. c. Find the sampling distribution of the sample mean for a random sample of n = 2 measurements from the distribution. d. Show that the sample mean is an unbiased estimator of μ. e. What is the standard deviation of this sampling distribution?
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