### Question:Which of the following statements about the sampling distribution of the sample mean, $ \bar{x} $, is not true?- ○ The distribution is (approximately) normal regardless of the shape of the population distribution, as long as the sample size, $ n $, is large enough.- ○ The distribution is normal regardless of the sample size, as long as the population distribution is normal.- ○ The distribution's mean is the same as the population mean.- ○ The distribution’s standard deviation is smaller than the population standard deviation.- ○ All of the above statements about $ \bar{x} $ are correct.

Here we have given multiple choice question about the central limit theorem. Which of the following…

Answered: Which of the following statements about…

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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There are three different ways I can go to work in the morning. I want to see if there is a difference in the distributions of travel-times between the three different ways. The sample data is depicted below. I claim there is a difference in mean travel times between the three different routes. I cannot guarantee that the distributions of these travel times are Normal. Travel Time in Minutes Interstate 22 22 21 23 22 21 Route 15 22 18 20 18 Back Roads 19 19 18 19 22 (a) Enter the rank values in the same order as in the original sample. Interstate Route 15 Back Roads (b) Give the value of the test statistic: (c) Test my claim at the 10% significance level.Enter the critical value: There is sufficient evidence to conclude that the population means are not equal.YesNo (d) Does your conclusion change at the 5% significance level?YesNo
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Use the information provided below for the SINGERS questions that follow. Our goal will be to see if there is any association between type of singer and height. ONE-WAY ANOVA Data from DASL: http://lib.stat.cmu.edu/DASL/Datafiles/Singers.html This exercises deals with the heights (in inches) of singers. The graph and Excel Anova output are given below. 80 75 70 65 60 55 • Soprano • Alto • Tenor • Bass Anova: Single Factor SUMMARY Groups Count Sum Average Variance Soprano 36 2313 64.25 3.5071 Alto 35 2271 64.885714 7.8101 Tenor 20 1383 69.15 10.3447 Bass 39 2758 70.717949 5.5762 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1058.5289 3 352.84298 55.800134 5.1E-23 2.67652 Within Groups 796.74029 126 6.3233357 Total 1855.2692 129 © 2020 Radha Bose, Florida State University Department of Statistics Heights (inches)
The sample mean is the point estimator of O A. u О В. р O C. X O D. o

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Which of the following statements about the sampling distribution of the sample mean, a, is not true?