When determining the sample size, the margin of error isdoublethe same asnot relatedhalf ofOOinterval width.

We have to tell relation between margin of error and width of confidence interval

Answered: When determining the sample size, the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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What proportion of the distribution of sample means is between a z of 1.34 and z of -1.00?
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And automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Suppose a sample of 383 new car buyers is drawn, of those sampled 137 prefer foreign over domestic. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or decimal rounded to three decimal places.
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An athletic shoemaker wants to test if their new running shoe specially made for sprinting is better than the competition. To do this, they recruit 35 NCAA sprinters and time their 100-meter dash wearing the company's shoe and then time their 100-meter dash again wearing the competitor’s shoe. The difference of these times is then calculated asTimecompany.shoe−Timecompetitor.shoe. The sample mean difference in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at theα=0.1 level. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic underH0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.15 level and state your conclusions in the…
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When determining the sample size, the margin of error is double the same as not related half of interval width.