Use Appendix Table A.3 to answer the following. The Rockwell hardness of a metal isdetermined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of thepoint. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3.(a) If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosenspecimen has an acceptable hardness?(b) What is the probability that a randomly chosen specimen has a hardness over 80?(c) If the acceptable range of hardness is (70c, 70+ c), for what value of c would 95% of all specimens have acceptablehardness?

It is given that Mean, μ = 70 Standard deviation, σ = 3

Answered: use ) If a specimen is acceptable only…

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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A test was given to a random group of students. The grades and gender are summarized below: {Give a reduced fraction or a decimal with at least 5 decimal places, as needed.} A В Male 7 Female 10 15 4 If one student is chosen at random, Find the probability that the student got a C: Find the probability that the student was female AND got a "A": Find the probability that the student was female OR got an "A": If one student is chosen at random, find the probability that the student was male GIVEN they got a 'B':
Assume that adults with smartphones are randomly selected, 48% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphone in meetings or classes. The probability is? Round to four decimal places as needed.
Each student in a statistics class was asked to randomly select a number from 1 to 10. The graph below summarizes their choices. The height of the bar above a number indicates the percentage of students in the class that chose that number (the actual percentage is shown above the bar). A) what is the median of all the numbers selected by the students? B) what is the first quartile Q1 of all the numbers selected by the students? What is the third quartile Q3 of all the numbers selected by the students?
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per min The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean bet The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution fo OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution fo OC. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution fo O D. Since the original population has a normal distribution, the distribution of sample means is a norma
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a) is the maximum probability of making a Type I error that we are willing to accept b) is the same as the population proportion, p c) measures the number of standard deviations from the mean d) is the probability of making a Type II error e) is the same as alpha
A test was given to a random group of students. The grades and gender are summarized below:{Give a reduced fraction or a decimal with at least 5 decimal places, as needed.} A B C Male 2 18 15 Female 12 9 11 If one student is chosen at random, Find the probability that the student was male: Find the probability that the student was male AND got a "A": Find the probability that the student was male OR got an "A": If one student is chosen at random, find the probability that the student was female GIVEN they got a 'C':
The population mean time it takes to empty a bottle of liquid is 80 minutes with a standard deviation of 6 minutes. A sample of 60 bottles is taken. What is the probability that the sample mean is at most 78 minutes? A) 0.9951 B 0.9963 C) 0.0037 D) 0.0049
A random variable follows a binomial distribution with the probability of success for one trial at 0.745 and 18 randomly selected trials. Round to the fourth. a) Find the mean of the distribution. b) Find the standard deviation of the distribution c) Find the probability of exactly 13 successes.
The mean score in the college entrance examination of 50 with a standard deviation of 12. If a sample of size 36 is taken,a) find the mean and standard deviation of the sample mean, x̄.b) what is the probability that x̄ is less than 48.5?c) what is the probability that x̄ is greater than 53?

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