An Internet provider is trying to gain advertising deals and claims that the mean timethecompetitors' customersspendonline per day islessthan21minutes. You are asked to test this claim. (a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the claim?(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim?(a)H0:▼ muμsigma squaredσ2ppsigmaσ▼ greater than or equals≥not equals≠less than<less than or equals≤greater than>21 Ha:▼ sigmaσsigma squaredσ2ppmuμ▼ not equals≠less than<greater than>less than or equals≤greater than or equals≥21(b)H0:▼ muμsigmaσppsigma squaredσ2▼ greater than>greater than or equals≥not equals≠less than<less than or equals≤21 Ha:▼ sigma squaredσ2muμsigmaσpp▼ less than or equals≤less than<greater than>greater than or equals≥not equals≠

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Description: An Internet provider is trying to gain advertising deals and claims that the mean timethecompetitors' customersspendonline per day islessthan21minutes. You are asked to test this claim. (a) How would you write the null and alternative hypotheses if

From the provided information, Population mean (µ) = 21 minutesa) If we want to support the claim, then the claim will be in alternative hypothesis (null hypothesis will be the opposite of it): The hypotheses are as follow: H0: µ ≥ 21 H1: µ < 21b) If we want to reject the claim, then the claim will be in null hypothesis (alternative hypothesis will be the opposite of it): The hypotheses are as follow: H0: µ ≤ 21 H1: µ > 21

Answered: An Internet provider is trying to gain…

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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An Internet provider is trying to gain advertising deals and claims that the mean time

the

competitors' customers

spend

online per day is

less

than

minutes. You are asked to test this claim.

(a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the claim?

(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim?

(a)	H0: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ greater than or equals≥ not equals≠ less than< less than or equals≤ greater than> 21
	Ha: ▼ sigmaσ sigma squaredσ2 pp muμ ▼ not equals≠ less than< greater than> less than or equals≤ greater than or equals≥ 21

(b)	H0: ▼ muμ sigmaσ pp sigma squaredσ2 ▼ greater than> greater than or equals≥ not equals≠ less than< less than or equals≤ 21
	Ha: ▼ sigma squaredσ2 muμ sigmaσ pp ▼ less than or equals≤ less than< greater than> greater than or equals≥ not equals≠

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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