consider a population with N = 4 with the y-values 55,76,99 and 120, respectively an dthe true population total Y = 350.The corresponding Pi's are given by 0.1, 0.2, 0.3 and 0.4 respectively. Also, consider PPSWOR sampling with n = 2. Theinclusion probabilities are derived as pi-1 = 0.2345 and pi-2 = 0.4413, pi-3 = 0.6083 and pi-4 = 0.7159. Suppose units 2and 3 are in the sample, so that the Horvitz-Thomson estimate Y-HT of the population total Y is 334.967. The varianceestimate v1 (Y Ht) of this estimator is (up to 2 decimal place).a). 10638.09b). 26945.6c).8153.75d). -10638.09

Variance in statistics measures the spread of data points around the mean. A higher variance…

Answered: consider a population with N = 4 with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean. The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean.
An accountant believes that the percentage of accounts that will be uncollectible increases as the ages of the accounts increase. Here the age of an unpaid account is the number of days elapsed since the invoice date. To test this theory, the accountant randomly selects independent samples of 500 accounts with ages between 31 & 60 days and 500 accounts with ages between 61 & 90 days from the accounts receivable ledger dated one year ago. When the sampled accounts are examined, it is found that 10 of the 500 accounts with ages between 31 & 60 days were eventually classified as "uncollectible", while 27 of the 500 accounts with ages between 61 & 90 days were eventually classified as "uncollectible". Let pi = proportion of accounts with ages between 31 & 60 days and p2 = proportion of accounts with ages between 61 & 90 days.
A simple random sample of size nequals 40 is drawn from a population. The sample mean is found to be 106.4 , and the sample standard deviation is found to be 15.4 . Is the population mean greater than 100 at the alpha equals0.025 level of significance?
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Suppose that the weight of seedless watermelons is normally distributed with mean 6.9kg and standard deviation 1.9kg. Let X be the weight of a randomly selected seedless watermelon. Round to 4 decimal places. What is the median seedless watermelon weight?
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Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages? A. 1.00 B. 0.729 C. 0 D. 1.40
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