6.5 Consider the population described by the probability distribution shown here:12345p (z) 23 2 2.1The random variable x is observed twice. If these observations are independent, verify that the different samples ofsize 2 and their probabilities are as follows:Sample Probability Sample Probability3, 43,54, 14, 2041, 11, 204.06021, 31, 40404.04061,52, 12, 22, 302064, 34, 44, 55, 15, 25, 30404.02.06022, 42,53, 13, 23, 3a. Find the sampling distribution of the sample mean i..06.030302045, 402065,5.01.04b. Construct a probability histogram for the sampling distribution of z.c. What is the probability that ī is 4.5 or larger?d. Would you expect to observe a value of i equal to 4.5 or larger? Explain.

Given: x 1 2 3 4 5 P(x) 0.2 0.3 0.2 0.2 0.1

Answered: 6.5 Consider the population described…

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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Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X = S = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 3D 14;B Hі: и 14; Hі: и %3D 14 Но: и 14 О Но: и 3D 14;B Hi: и # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is…
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1
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A space agency compiles data on space-shuttle launches and publishes them on its website. The following table displays a frequency distribution for the number of crew members on each shuttle mission over a 30-year period. Let X denote the crew size on a randomly selected shuttle from this time period. Complete parts (a) through (e) below. Crew size 2 4 5 6 7 8 Frequency 4 5 40 20 72 1 a. What are the possible values of the random variable X? (Use a comma to separate answers as needed.) b. Use random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7. Select the correct choice below and fill in the answer box within your choice. A.( P) B. c. Find P(X=4); interpret in terms of percentages. P(X=4)= (Round to three decimal places as needed.) Interpret in terms of percentages. Select the correct choice below and fill in the answer box to complete…
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