23To test, at a 5% level of significance, if the average fill of half-gallon milk containers is 64 ounces, a random sample of containers were selected, which yielded the data here: 64.66463.465.363.564.565.16763.76566.262.863.764.665 The test statistic for the hypothesis test is,a2.150Do not reject H₀. Conclude the mean content is not different from 64 ounces.b1.955Do not reject H₀. Conclude the mean content is not different from 64 ounces.c1.777Reject H₀. Conclude the mean content is different from 64 ounces. d1.615Reject H₀. Conclude the mean content is different from 64 ounces.

For the given data Perform t test for one mean

Answered: 3 To test, at a 5% level of…

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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To test, at a 5% level of significance, if the average fill of half-gallon milk containers is 64 ounces, a random sample of containers were selected, which yielded the data here:

64.6	64	63.4	65.3	63.5
64.5	65.1	67	63.7	65
66.2	62.8	63.7	64.6	65

The test statistic for the hypothesis test is,

a	2.150	Do not reject H₀. Conclude the mean content is not different from 64 ounces.
b	1.955	Do not reject H₀. Conclude the mean content is not different from 64 ounces.
c	1.777	Reject H₀. Conclude the mean content is different from 64 ounces.
d	1.615	Reject H₀. Conclude the mean content is different from 64 ounces.

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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