**Article Summary on Fracture Strengths of Ceramic Bars**An article provided the following data summary for fracture strengths (measured in MPa) for \( n = 196 \) ceramic bars fired in a specified kiln: the sample mean (\( x \)) is 19.35 MPa with a standard deviation (\( s \)) of 3.13 MPa.**(a) Two-Sided Confidence Interval Calculation**The task is to calculate a two-sided confidence interval for the true average fracture strength, using a confidence level of 95%. Answers should be rounded to two decimal places. Enter the lower and upper bounds of the confidence interval as follows: ( _______, _______ ) MPa- **Does it appear that the true average fracture strength has been precisely estimated?** - **Yes, this is a very narrow interval.** - **No, this is a very wide interval.****(b) Estimation Sample Size Calculation**Assume that the investigators initially considered that the population standard deviation was approximately 7 MPa. Based on this assumption, determine the required sample size to estimate \( \mu \) within 0.5 MPa with 95% confidence. Enter the answer as a number of ceramic bars: _______ ceramic bars**Note:** You may need to consult the appropriate table in the [Appendix of Tables](#) to solve this problem.

a)Suppose µ is the population average fracture strength.

Answered: An article gave the following summary…

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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Here are summary statistics for randomly selected weights of newborn girls: n = 36, x= 3216.7 g, s = 688.5 g. Use a confidence level of 99% to complete parts (a) through (d) below. a. Identify the critical value to/2 used for finding the margin of error. ta/2 (Round to two decimal places as needed.) b. Find the margin of error. = = g (Round to one decimal place as needed.) c. Find the confidence interval estimate of μ. g<μ< g (Round to one decimal place as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. O A. One has 99% confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls. B. Approximately 99% of sample mean weights of newborn girls will fall between the lower bound and the upper bound. C. One has 99% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls. D. There is a 99% chance…
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Use the given information to find the number of degrees of freedom, the critical values y? and y, and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Nicotine in menthol cigarettes 9,8% confidence; n= 26, s = 0.23 mg. Click the icon to view the table of Chi-Square critical values. df = 25 (Type a whole number.) X =(Round to three decimal places as needed.) XR =(Round to three decimal places as needed.) %3D The confidence interval estimate of o is mg

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