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 are80 GPa and 1.7 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.)n USE SALT(a) Calculate P(79 < X< 81) when n = 16.(b) How likely is it that the sample mean diameter exceeds 81 whenn = 25?

Given: Population Mean (\mu)(μ) = 8080 Population Standard Deviation (\sigma)(σ) = 1.71.7…

Answered: Young's modulus is a quantitative…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=72.1σ=72.1. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?
nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.02 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.4 Ha: μ≠3.4 Your answer is correct. B. H0: μ>3.4 Ha: μ≤3.4 C. H0: μ≤3.3 Ha: μ>3.3 D. H0: μ≤3.4 Ha: μ>3.4 E. H0: μ>3.3 Ha: μ≤3.3 F. H0: μ≠3.3 Ha: μ=3.3 (b) Identify the standardized test statistic. z=negative 0.93−0.93 (Round to two decimal places as needed.) (c) Find the P-value. 0.3520.352 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis.
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 75 GPa and 2.5 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) n USE SALT (a) Calculate P(74 < X < 76) when n = 16. (b) How likely is it that the sample mean diameter exceeds 76 when n = 25?
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Suppose the lengths of human pregnancies are normally distributed with μ = 266 days and o 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with μ = 266 days and o=16 days. The area to the right of X = 290 is 0.0668. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last less than OB. The proportion of human pregnancies that last more than days is days is Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts more than OB. The probability that a randomly selected human pregnancy lasts less than days is days is or more than and days…
(a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=245 is 0.0947. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The proportion of human pregnancies that last more than nothing days is nothing. B. The proportion of human pregnancies that last less than nothing days is nothing.
A normal population has mean =μ9 and standard deviation =σ5 . Find the proportion of the population that is greater than 4 . Round the answers to at least four decimal places. The proportion of the population that is greater than 4 is .
A population of values has a normal distribution with μ=66.8μ=66.8 and σ=44.5σ=44.5. A random sample of size n=209n=209 is drawn. What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means? Round your answer to two decimal places.σ¯x=σx¯=
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