Answered: According to a recent survey of 35…

Name: According to a recent survey of 35 Canadians and 42 Americans it was f
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Description: According to a recent survey of 35 Canadians and 42 Americans it was found that Canadians drink a mean of 3.2 cups of coffee per day with a standard deviation of 1.1 cups, and Americans drink a mean of 3 cups of coffee per day with a standard deviati

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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According to a recent survey of 35 Canadians and 42 Americans it was found that Canadians drink a mean of 3.2 cups of coffee per day with a standard deviation of 1.1 cups, and Americans drink a mean of 3 cups of coffee per day with a standard deviation of 1.5 cups. Use this sample to test the claim that Canadians drink about the same amount of coffee as Americans using 99% confidence.

**Let the first population be of the Canadians and the second population be of the Americans.**

For the null and alternative hypothesis you may write words, don't spend a ton of time on symbols.

The null hypothesis is .

The alternative hypothesis is .

If you use tables please complete the critical value and test statistic section, if you use a TI-84, please complete the p-value and alpha section. Leave the other sections blank.

Critical value or values are . If there is more than one answer, write them from smallest to largest and separate answers with a comma. Round to 2 decimal places.

The test statistic is . Round to 2 decimal places.

The p-value is . Round to 3 decimal places.

The alpha value is . Round to 2 decimal places.

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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