Answered: Thank you for your help, single means…

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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Thank you for your help, single means t-test makes sense. Can it possibly be a regression? where we are using the known X (1951 to1980) to predict the temperature from 1980 to 2017..

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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I don't think I explained the research scenario effectively.

I don't think it is a two-sample test, because we are comparing our sample (temperature between 1981-2017) on an already known mean which is 1951-1980, with an average temperature of 8.70 degrees Celsius. We are then comparing our sample to the already known temperature between 1951-1980 to see if there is a difference.

In this case, a two-sample test would not be appropriate. In this case wouldn't a one-sample test be more appropriate?

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Follow-up Question

The research scenario states:

decide to look at whether there is a difference between the average temperature in the period between 1951-1980 and the average temperature in the period between 1981-2017.

Considering that we are interested in the difference.. wouldn't a one-sample t-test be most appropriate?

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Follow-up Question

You initially said that the most appropriate statistical analysis for the data is a one sample means t test. Would a one sample t test be more appropriate than a regression?

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Follow-up Question

Okay so i am a little confused. So would the most appropriate statistical test be single means t test, regression or a two sample t test?

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