(a) The random samples of size n from an infinite population has a standarddeviation of two. Show that x would be a more precise estimator of µ ifsample size were increased from 4 to 16. Interpret the result.

Introduction: It is required to show that precision of the estimator for μ will be increased when…

Answered: (a) The random samples of size n from…

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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A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 286. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 38. At α = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. O A. Ho: μ≤280 (claim) H₂:μ>280 O D. Ho: μ≤280 Ha: μ> 280 (claim) O B. Ho: μ280 OF. Ho: μ = 280 Ha: μ>280 (claim)
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(a) The random samples of size n from an infinite population has a standard deviation of two. Show that x would be a more precise estimator of µ if sample size were increased from 4 to 16. Interpret the result.