A study is done to estimate the true mean satisfaction rating for all customers of a particular retail store. A random sample of 200 customers is selected and a 99% confidence interval for the true mean satisfaction rating is 7.8 to 8.4 where 1 represents very dissatisfied and 10 represents completely satisfied. Based upon this interval, what conclusion should be made about the hypotheses: = 8 versus 8 where μ = the true mean satisfaction rating for all customers of this store at α = 0.01?Reject H0. There is convincing evidence that the true mean satisfaction rating of all customers in this store equals 8.Reject H0. There is convincing evidence that the true mean satisfaction rating of all customers in this store differs from 8.Fail to reject H0. There is not convincing evidence that the true mean satisfaction rating of all customers in this store equals 8.Fail to reject H0. There is not convincing evidence that the true mean satisfaction rating of all customers in this store differs from 8.

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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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A study is done to estimate the true mean satisfaction rating for all customers of a particular retail store. A random sample of 200 customers is selected and a 99% confidence interval for the true mean satisfaction rating is 7.8 to 8.4 where 1 represents very dissatisfied and 10 represents completely satisfied. Based upon this interval, what conclusion should be made about the hypotheses: = 8 versus 8 where μ = the true mean satisfaction rating for all customers of this store at α = 0.01?

Reject H₀. There is convincing evidence that the true mean satisfaction rating of all customers in this store equals 8.

Reject H₀. There is convincing evidence that the true mean satisfaction rating of all customers in this store differs from 8.

Fail to reject H₀. There is not convincing evidence that the true mean satisfaction rating of all customers in this store equals 8.

Fail to reject H₀. There is not convincing evidence that the true mean satisfaction rating of all customers in this store differs from 8.

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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