Answered: Data on the number of deaths from the COVID-19 Pandemic are recorded in two different counties in Arizona, Pinal County and Mohave County. Does Pinal County…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

Data on the number of deaths from the COVID-19 Pandemic are recorded in two different counties in Arizona, Pinal County and Mohave County. Does Pinal County have fewer deaths on average than Mohave County? The data below show the number of deaths on twelve randomly selected dates in Pinal County and on thirteen randomly selected dates in Mohave County.

Pinal County: 10 14 10 14 6 4 14 9 10 14 11 4

Mohave County: 4 14 6 17 17 17 18 15 11 8 6 9 9

Assume the number of deaths in both counties follow a Normal distribution. What can be concluded at the αα = 0.01 level of significance level of significance?

For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for a population mean

The null and alternative hypotheses would be:

H0:H0: Select an answer p1 μ1 Select an answer > < ≠ = Select an answer p2 μ2

H1:H1: Select an answer μ1 p1 Select an answer = ≠ > < Select an answer μ2 p2

The test statistic ? t z = (round your answer to 3 decimal places.)
The p-value = (round your answer to 4 decimal places.)
The p-value is ? > ≤ αα
Based on this, we should Select an answer reject accept fail to reject the null hypothesis.

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 + ...

Expert Solution

Step 1

Given information:

Significance level $(α) = 0.01$

The number of deaths from the COVID-19 pandemic of Pinal County and Mohave County as follows:

Pinal County $(X_{1})$	Mohave County $(X_{2})$
10	4
14	14
10	6
14	17
6	17
4	17
14	18
9	15
10	11
14	8
11	6
4	9
	9

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