4. The average of a bread-making machine is 7 years, with standard deviation of 1 year.Assuming that the lives of these machines follow approximately a normal distribution,finda) the probability that the mean life of a random sample of 9 such machines fallsbetween 6.4 and 7.2 yearsb) the value of x to the right of which 15 % of the mean computed from randomsamples of size 9 would fall.

Given Mean=7 Standard deviations=1 n=9

Answered: 4. The average of a bread-making…

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 population has a meanu= 157 and a standard deviation o= 27. Find the mean and standard deviation of the sampling distribution of sample means with sample size n= 54. The mean is µ; = |, and the standard deviation is o; = (Round to three decimal places as needed.)
Suppose the scores of students on an exam are Normally distributed with a mean of 522 and a standard deviation of 83. Then approximately 99.7% of the exam scores lie between the numbers such that the mean is halfway between these two integers. and ☐
Suppose a random sample of 4949 measurements is selected from a population with mean 6060 and standard deviation 1010. Step 2 of 2: Find the standard deviation of the sampling distribution of sample means using the given information. Round to two decimal place, if necessary.
After numerous studies, it is estimated that the age of college students follows a normal distribution with a mean of 20.7 years and a standard deviation of 1.8 years. A random sample of 16 college students is taken and the sample mean and sample standard deviation are found to be 21.5 years and 2.3 years, respectively. a.Is the sample average of 21.5 considered an outlier (in other words, what is the chance of getting a sample mean at least as large as 21.5 assuming μ and σ are correct)? b. The calculated value of the sample standard deviation is larger than σ, is 2.3 years enough larger than 1.8 that the estimate of σ does not seem reasonable? Use probability to support your conclusion c.No matter what you got for an answer in part b, assume we no longer trust σ = 1.8 to be valid. Calculate the same probability as you did in part a, but this time, assume that σ is unknown.
the standard deviation of a set of 12 measurements has a numerical value of 3. If one of the measurements, equal to the mean,is removed from the data set , then the magnitude of the Variance is
If the random variable of X is normally distributed with a mean of 50 and a standard deviation of 10, approximately what % of all possible observed values of X will lie between 30 and 70.
If the z-value for a given x of a random variable Z is z =1.06, and the distribution of X is normal with a mean of 60 and a standard deviation of 6, to what x-value does this z-value correspond?
Ex. 4. The mean and standard deviation of the marks obtained by 1000 students in an examination are respectively 34.5 and 16.5. Assuming the normality of the distribution, find the approxiamte number of students expected to obtain marks between 30 and 60.
A normal distribution of scores has a standard deviation of 10 and a mean of 0. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. b) A score that is 10 points below the mean. c) A score that is 15 points above the mean d) A score that is 30 points below the mean. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. Convert Einstein’s IQ score to a z score.

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