An Internet provider is trying to gain advertising deals and claims that the mean timethecompetitors' customersspendonline per day islessthan33minutes. 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:▼ ppmuμsigmaσsigma squaredσ2▼ less than<greater than>less than or equals≤greater than or equals≥not equals≠33 Ha:▼ sigma squaredσ2muμppsigmaσ▼ less than or equals≤not equals≠greater than>greater than or equals≥less than<33(b)H0:▼ muμsigma squaredσ2ppsigmaσ▼ less than<greater than or equals≥not equals≠greater than>less than or equals≤33 Ha:▼ muμsigma squaredσ2sigmaσpp▼ not equals≠greater than or equals≥greater than>less than or equals≤less than<

Here the Claim is : An Internet provider claims that the mean time the competitors' customers spend…

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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Question

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: ▼ pp muμ sigmaσ sigma squaredσ2 ▼ less than< greater than> less than or equals≤ greater than or equals≥ not equals≠ 33
	Ha: ▼ sigma squaredσ2 muμ pp sigmaσ ▼ less than or equals≤ not equals≠ greater than> greater than or equals≥ less than< 33

(b)	H0: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ less than< greater than or equals≥ not equals≠ greater than> less than or equals≤ 33
	Ha: ▼ muμ sigma squaredσ2 sigmaσ pp ▼ not equals≠ greater than or equals≥ greater than> less than or equals≤ less than<

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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