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Description: In order to infer on the mean height of children in a school , a sample of 36 students were considered and it was found that mean and standard deviation based on the sample are 120 cm and 30 cm respectively. then what would be the standard error for

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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In order to infer on the mean height of children in a school , a sample of 36 students were considered and it was found that mean and standard deviation based on the sample are 120 cm and 30 cm respectively. then what would be the standard error for the sample mean?

a. 3.33

b. 20

c. 0.83

d. 5

What would be the critical value?

a. 0.0126

b. 2.03

c. 2.72

d. 3

What would be your conclusion based on the confidence interval being 99%?

a. With 99% confidence, the population mean is between 106.4 cm and 133.6 cm.

b. With 99% confidence, the sample mean is between 106.4 cm and 133.6 cm

c. 99% of the children in the population has height between 106.4 cm and 133.6 cm

d. 99% of the children in the sample has height between 106.4 cm and 133.6 cm.

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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