Side-by-SideUniversity of Southern California Schaeffer Center forFind the probability distribution for X. Round to fourHealth Policy and Economics, researchers concluded thatdecimal places.customers overpaid for prescriptions 23% of the time. Thisoverpayment often occurs because the copay is higher thanthe full cost of a drug. Suppose four prescriptions areselected at random. Let X be a random variable defined top(0) =be the number of prescriptions for which thecustomer overpaid.p(1) =p(2) =p(3) =p(4) =27%75°F Side-by-SideUniversity of Southern California Schaeffer Center forFind the mean u, variance o, and standard deviation oHealth Policy and Economics, researchers concluded thatof X.customers overpaid for prescriptions 23% of the time. Thisoverpayment often occurs because the copay is higher thanthe full cost of a drug. Suppose four prescriptions areselected at random. Let X be a random variable defined tobe the number of prescriptions for which thecustomer overpaid.

Answered: Dinty distribution for X. Round to four…

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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Prove that the sample variance is an unbiased estimator for the population variance. That is, show that
Random Number 1 2 3 4 Total Observation Frequency 60 40 66 34 200 Theoretical Frequency 50 50 50 50 200 Find the contingency coefficient of the series 21 - O a) 0.99 O B) 0.89 O NS) 0.07 14.24 O D) O TO) 0.26
When data is said to be binomial, this means that ___________. a. They will always be normally distributed b. There are only 2 sets of data c. There are only 2 categories in which a measurement could possibly belong d. The data is classified into 2 or more categories
Q.5 What are the properties of a distribution function?
O Three uncorrelated random variables X1, X, andX3 have means 1, - 3 and 1.5 and second moments 2.5, 11 and 3.5 respectively. Let Y = X1- 2X2+ 3X3 be a new random variable. Find (a) mean value (b) variance of Y.
Evaluation 1. Samples of size n were randomly selected from the population with means and variances given below. In each case, find the mean, variance, and the variance of the sampling distribution of the means. a. n = 49; μ = 25; o² = 6.25 b. n = 55; μ = 10; o² = 9 2. A random sample of n = 100 measurements is obtained from a population with μ = 55 and o = 20. Describe the sampling distribution of means by computing the (a) mean of the sampling distribution of means μ, (b) variance of the sampling distribution of means o, and the (c) standard deviation of the sampling distribution of means o.
Parametric Inferential Statistics
A random variable X has the following probability distribution. 4 6 0.2 If a sample of size 2 is taken with replacement, obtain the sampling distribution of X. Determine the mean and variance of the sampling distribution. Find the mean and variance of the population. Discuss the results. xj p(x,) 0.3 5 0.5
MANUFACTURING PRODUCTIVITY You are an Operations Manager for a local steel manufacturing company, and you are in the process of selecting a vendor for a new type of metal finishing machine. For the past week you’ve tested machines from three different companies and collected the randomly sampled data below that shows how many parts each machine produced in seven different one-hour periods over the course of your manufacturing test. Is the average production of these machines the same, or is one of them different from the others? [If the productivity is the same, you will simply choose the machine with the lowest cost.] You may assume that all populations are independent and nearly normal. Test at the 95% confidence level. (i.e. α= 0.05) Parts produced per hour for machines from three vendors: Machine A Machine B Machine C 112 116 102 104 118 107 116 112 108 98 108 92 109 113 114 111 117 105 115 107 102 What…
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Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random samples of size 30,50 and 100 from the same population. a. Using the midpoint labels of the three histograms, what would you say about the estimated range of population data from smallest to largest? Does the bulk of the data seem to be between 8 and 12 all in three histograms? b. The population distribution from which the samples were drawn is symmetric and mound shaped, with the top of the mound at 10,95% of the data between 8 and 12, and 99.7% of data between 7 and 13. How well does each histogram reflect these characteristics?
A random variable X has the following probability distribution. 4 6 0.3 0.2 If a sample of size 2 is taken with replacement, obtain the sampling distribution of X. Determine the mean and variance of the sampling distribution. Find the mean and variance of the population. Discuss the results. xj p(x,) 5 0.5

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