Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type,its mean value and standard deviation are 85 GPa and 2.4 GPa, respectively. Suppose the distribution is normal. (Round youranswers to four decimal places.)In USE SALT(a) Calculate P(84 sX s 86) when n = 9.(b) How likely is it that the sample mean diameter exceeds 86 when n = 25?You may need to use the appropriate table in the Appendix of Tables to answer this question.Need Help?Read It

From the given information we find the probability.

Answered: Young's modulus is a quantitative…

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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Use the formula to find the standard error of the distribution of differences in sample means, ₁ - ₂. Samples of size 23 from Population 1 with mean 6.5 and standard deviation 3.4 and samples of size 40 from Population 2 with mean 7.9 and standard deviation 6.6 Round your answer for the standard error to two decimal places. standard error = PI
In a particular statistics exam, the 10th percentile of final exam score is 59, and the 90th percentile of final exam score is 93. A histogram of the scores approximately follows the normal curve. What is the approximate standard deviation of the final exam scores? Hints: What is the z value in the normal table that gives you closest to 80% of the area between -z and z? Now what does that tell you about the number of SDs in between 59 inches and 93 inches? You might find it helpful to draw a picture of the normal curve with original units and standard units. 13.1 26.2 17.2 6.5
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=28.1σ=28.1. You would like to be 98% confident that your esimate is within 3 of the true population mean. How large of a sample size is required?n =
Consider the normal distribution represented by the normal curve in the figure to the right. (Assume the two labeled values are equidistant from the mean.) Complete parts (a) and (b) below. 95% of the data 73.2 cm 96.8 cm (a) Find the mean μ and standard deviation σ of the distribution. με cm (Simplify your answer.) σ = cm (Simplify your answer.) (b) Find the first quartile Q1 and the third quartile Q3 of the distribution. ༠ ༤ cm (Round to the nearest tenth as needed.) Q3≈ cm (Round to the nearest tenth as needed.)
2)
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 66 samples is 7.7 ppm with a standard deviation of 1.0 Does the data support the claim at the 0.025 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.
Answer the exercise of the image. (In the other image are the final answers, this to verify the final answer).
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.72. (c) How large a sample size is necessary if the width of the 95% interval is to be 0.45? (Round your answer up to the nearest whole number.) ................ specimens(d) What sample size is necessary to estimate true average porosity to within 0.24 with 99% confidence? (Round your answer up to the nearest whole number.) ................. specimens

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