Answered: TRUE OR FALSE 1)A point estimate is a…

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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Question

TRUE OR FALSE

1)A point estimate is a single value used to estimate a population parameter.

2) A point estimate is a range of values used to estimate a population parameter.

LONG ANSWERS The mean and standard deviation of the marks obtained by the students of Business statistics is 60 and 20 respectively.

If samples of 50 students are selected at random.

What is the probability that the mean weight of the sample 3) of students. i Is between 56 and 73 i. Is between 62 and 68 i Is more than S5 iv. Is less than 48

4) Assuming that the weights of people are normally distributed with mean of 70 kg and standand deviation of 2 kg A lift is designed to sustain a maxinum load of 1500 kg.

What is the probability that the lifi will be overloaded if there are twenty people in the lit?

5) In a certain city, 20% of the residents are smokers. If random samples of 200 residents are selocted a Find the mean and standard error of the resultant sampling distribution of sample proportion

What is the probability that the sample of resident selected will have more than 18% smokers? between 17 and 21% smokers? less than 16 smokers?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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