2.1. In the first semester of the year 2003, the average return for a group of 251 investingcompanies was 4.5% and the standard deviation was 1.5%. If a sample of 40 companiesis randomly selected from this group, what is the approximate probability that the6.average return of the companies in this sample was between 4% and 5% in the firstsemester of the year 2003?08.6.Z =10n34011121314P( )15dec16173.4.7.

From the provided information, Mean (µ) = 4.5% Standard deviation (σ) = 1.5% Sample size (n) = 40…

Answered: 1. In the first semester of the year…

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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If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard deviation is 3.4∘3.4∘, then according to Chebyshev's theorem, the percentage of average low temperatures in Rochester, NY between 12.56∘12.56∘ and 23.44∘23.44∘ is at least %.
Ma1.
9.An automobile insurer has found that repair claims are Normally distributed with a mean of $530 and a standard deviation of $480. (a) Find the probability that a single claim, chosen at random, will be less than $490. (b) Now suppose that the next 60 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average X¯ of the 60 claims is smaller than $490. (c) If a sample larger than 60 claims is considered, there would be __________ chance of getting a sample with an average smaller then $490. (NOTE: Write ''LESS'', ''MORE'' or ''AN EQUAL''.)
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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 35 exams graded so far is 518. What is the probability that a sample of 35 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The weights of a certain breed of dogs follow a normal distribution with a mean of 30 pounds and a standard deviation of 5 pounds. If a random sample of 25 dogs is selected, what is the probability that their average weight is between 28 and 32 pounds? The monthly returns on a stock follow a normal distribution with a mean return of 2% and a standard deviation of 4%. What is the probability that the stock has a negative return in any given month? The lifetimes of a certain brand of lightbulb are normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the probability that a randomly selected lightbulb will last more than 1100 hours?
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 518. What is the probability that a sample of 40 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Sub Continue
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The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 40 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (c) What is the probability that the sample mean is within 1 inch of the population mean for New York?.
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 526. What is the probability that a sample of 35 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places: Round your answer to at least three decimal places. Submit Assignment 2021 McGraw Hil LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility US Continue V O 8:19 hp esc 2# 8. 3 4. t 00
Suppose the returns of a particular group of mutual funds are normally distributed with a mean of 9.5% and a standard deviation of 5.1%. If the manager of a particular fund wants to be sure that his fund is NOT in the bottom 25% of funds with the lowest return, what return must his fund have? (please round your answer to 2 decimal places)
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