Answered: The club will be preparing his male…

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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The club will be preparing his male team players for the next basketball competition and the club randomly selects 30 of his male players and check their weights. The following table shows summary statistics for those players weights.

Variable	n	Mean	Standard deviation, s
Weight	30	102	14

Calculate a 95% confidence interval (C.I.) for the population mean weight of all basketball male players in the club.

Q1)The critical value for the 95% confidence interval is:

Q2)The LOWER limit of the 95% confidence interval for the population mean, μ is:

Q3) The UPPER limit of the 95% confidence interval for the population mean, μ is:

Q3a) Based on your confidence interval, would you believe that the true mean of this population could be 115?

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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Step 1

As per our guidelines, we are allowed to answer first threes sub-parts only. Thanks

Given :

Variable	n	Mean	Standard deviation, s
Weight	30	X = 102	s = 14

We need to construct the $95\%$ confidence interval for the population mean $\mu$

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