I think I'm supposed to do a hypothesis test for a difference in means on this review problem, but I'm not completely sure. I'd be very grateful for some help! 4. Two batches of a certain chemical were delivered to a factory. For eachbatch ten determinations were made of the percentage of manganese inthe chemical.3.62 with s? = 0.0862 andBatch 1 had ĩ1 =Batch 2 had ã2 = 3.25 with s = 0.0672.Test whether or not the mean amount of manganese in the two batches isdifferent. Test at the 5% level of significance. For this problem, you mayassume that the batch populations are reasonably normal.Be sure to show all the details of your test, including any conditions youтust meet, Hо, На, test statistic, p-value, аnd the conclusion of your test.

Answered: 4. Two batches of a certain chemical…

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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I think I'm supposed to do a hypothesis test for a difference in means on this review problem, but I'm not completely sure. I'd be very grateful for some help!

4. Two batches of a certain chemical were delivered to a factory. For each
batch ten determinations were made of the percentage of manganese in
the chemical.
3.62 with s? = 0.0862 and
Batch 1 had ĩ1 =
Batch 2 had ã2 = 3.25 with s = 0.0672.
Test whether or not the mean amount of manganese in the two batches is
different. Test at the 5% level of significance. For this problem, you may
assume that the batch populations are reasonably normal.
Be sure to show all the details of your test, including any conditions you
тust meet, Hо, На, test statistic, p-value, аnd the conclusion of your test.

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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