TOPIC: Hypothesis Testing of Sample MeanQUESTION:Suppose the average height of Filipinos is 5 feet and 2 inches (157.48 cm). Determine if there is enough evidence to prove that the average height is different from 157.48 cm and reject this claim by creating a hypothesis test using the GIVEN YOU SEE BELOW as the sample. Assume your data is approximately normal. Use a 5% level of significance. Please don't use excell as computation. And write the solution in MICROSOFT WORD or in your papers. Thank you!GIVEN:169165.099160.02152.40EXAMPLE:(IMAGE YOU SEE IN ATTACHMENT) Example:1. The mean length of the lumber is supposed to be 8.5 feet. A builder wants to check whether the shipment of lumbershe receives has a mean length different from 8.5 feet. If the builder observes that the sample mean of 61 pieces oflumber is 8.3 feet with a sample standard deviation of 1.2 feet, what will she conclude? Conduct this test at a 1% level ofsignificance.Conduct the test using the Rejection Region approach.n = 61: nommal7 = 8.3F+FtS = 1.2 ftα = 1% = 0.01Mo = 8.5 ftt*.=Ho: uНа м1: FAIL TO REJECT H₂μ = 8.5FtL = 0.012/2 = 0.0055-Min# 8.0 Ft (2TT)S06/2 - 0.005JF=61-1·60 toc = ± 2.660ta-2.6608.3 8.512/ब13021%/ 10+2.660-1.302

Given: The average height of Filipinos is 5 feet and 2 inches (157.48 cm) Level of significance = 5%…

Answered: Suppose the average height of Filipinos…

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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TOPIC: Hypothesis Testing of Sample Mean

QUESTION:

Suppose the average height of Filipinos is 5 feet and 2 inches (157.48 cm). Determine if there is enough evidence to prove that the average height is different from 157.48 cm and reject this claim by creating a hypothesis test using the GIVEN YOU SEE BELOW as the sample. Assume your data is approximately normal. Use a 5% level of significance. Please don't use excell as computation. And write the solution in MICROSOFT WORD or in your papers. Thank you!

GIVEN:

169

165.099

160.02

152.40

EXAMPLE:

(IMAGE YOU SEE IN ATTACHMENT)

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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