Suppose a random sample of n = 427 is taken from a population with an unknown distribution48 and ² = 576. What is the distribution of X?that has =Select one:O a.O b.C.X~ N 48,N (48,X~ N 48,N (48,X576N42724427(48,575)Od. The distribution of X is unknownO e. X~ N 48,3214217)

Answered: Suppose a random sample of n = 427 is…

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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Suppose x has a distribution with ? = 29 and ? = 27. (a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (b) If a random sample of size n = 60 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).)The standard deviation of part (b) is part (a) because of the sample size. Therefore, the distribution about ?x is .
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A sample is selected from a normal population with µ = 54 and σ = 8. Which of the following samples would be considered extreme and unrepresentative for this population? A. M = 53 and n = 81 B. M = 52 and n = 36 C. M = 53 and n = 36 D. M = 52 and n = 81
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For a population of σ = 16, how large a sample is necessary to have a standard error that is a. less than 8 points? b. less than 4 points? c. less than 2 points?
I need help with part a-c
A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1: Rate of hay fever per 1000 population for people under 25 97 91 122 130 94 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2: Rate of hay fever per 1000 population for people over 50 94 111 100 95 110 88 110 79 115 100 89 114 85 96 What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)
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28.
.
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Question 2. A simple random sample of size n = 49 is obtained from a population with mean 80 and standard deviation 14. a. Describe the sampling distribution of x. b. What is P (x >83) c. What is P(x ≤ 75.8) d. What is P (78.3 < x < 85.1)

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Suppose a random sample of n = 427 is taken from a population with an unknown distribution that has μ = 48 and o² = 576. What is the distribution of X? == Select one: O a. O b. O C. X~ N 48, (18 O e. X~ N 48, X N 48, X Od. The distribution of X is unknown 2 576 √427 N 48, 24 427 576 427 24 427