A data set includes data from400random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than2.8miles. Use a0.05significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.LOADING...Click the icon to view the display from technology. Question content area bottomPart 1Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A.H0:μ<2.8milesH1:μ=2.8miles B.H0:μ=2.8milesH1:μ<2.8miles C.H0:μ=2.8milesH1:μ>2.8milesYour answer is correct. D.H0:μ=2.8milesH1:μ≠2.8milesPart 2Identify the test statistic.

1. The claim that the mean tornado length is greater than 2.8 miles. The hypotheses are as follows:…

Answered: A data set includes data from 400…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question content area bottom

Part 1

Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?

H0:

μ<2.8

miles

H1:

μ=2.8

miles

H0:

μ=2.8

miles

H1:

μ<2.8

miles

H0:

μ=2.8

miles

H1:

μ>2.8

miles

Your answer is correct.

H0:

μ=2.8

miles

H1:

μ≠2.8

miles

Part 2

Identify the test statistic.

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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