A study of the wages of 100 persons groupedin class-intervals of Dollar 10-12, 12 14 ...etc. revealed the mean wage to dollar. 32.02and its standard deviation as dollar. 13.18.Later, it was discovered that the wage of alabourer who was getting Dollar 57 wasmisread as 27. Calculate the correct meanand standard deviation?

Answered: A study of the wages of 100 persons…

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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Suppose that a recent article stated that the mean time spent in jail by a first–time convicted burglar is 3.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 45 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years with a standard deviation of 1.4 years. Suppose that it is somehow known that the population standard deviation is 1.1. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
A professor has found that the grades on the Statistics Final are normally distributed with a mean of 68 and a standard deviation of 15. If only the best 14 % of the students in the class will receive an A, what grade must a student obtain in order to get an A?
Suppose we are comparing the ages of undergraduate students in two statistics classes at two different universities, A and B. The standard deviation of the ages of undergraduate students at university A is 5 years, while the standard deviation of the ages of undergraduate students at university B is 1 year. What statement below is true about the ages of these students when considering standard deviations? (a) The ages of students at university A are less spread out than the ages of students at university B. (b) The ages of students at university A are more spread out than the ages of students at university B. ( c) Students at university A are younger than students at university B. (d) Students at university A are older than students at university B.
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A recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15. 1. What is the probability that a randomly selected individual would have an IQ between 97 and 112 2. What is the probability that a randomly selected individual would have an IQ between 100 and 113 3. What is the probability that a randomly selected individual would have an IQ of less than 112 and greater than 115
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