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Description: Is there a difference in the satisfaction rating of traditional cellphone providers who bill for service at the end of a month often under a contract and prepaid cellphone service providers who bill in advance without a contract? The accompanying ta

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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Is there a difference in the satisfaction rating of traditional cellphone providers who bill for service at the end of a month often under a contract and prepaid cellphone service providers who bill in advance without a contract? The accompanying table contains the satisfaction rating for 10 traditional cellphone providers and 13 prepaid cellphone service providers.

Type of Provider Rating
Traditional 88
Traditional 91
Traditional 77
Traditional 79
Traditional 77
Traditional 73
Traditional 75
Traditional 71
Traditional 69
Traditional 67
Prepaid 87
Prepaid 83
Prepaid 85
Prepaid 82
Prepaid 79
Prepaid 79
Prepaid 76
Prepaid 78
Prepaid 75
Prepaid 73
Prepaid 68
Prepaid 71
Prepaid 67

Assuming that the population variances from both types of cellphone providers are equal, is there evidence of a difference in the mean ratings between the two types of cellphone providers? (Useα=0.10.)

Let population 1 be the ratings of the traditional cellphone providers and let population 2 be the ratings of the prepaid cellphone providers. What are the correct null and alternative hypotheses?

A. H0: μ1−μ2≤0

H1: μ1−μ2>0

B. H0: μ1−μ2≥0

H1: μ1−μ2<0

C. H0: μ1−μ2≠0

H1: μ1−μ2=0

D. H0: μ1−μ2=0

H1: μ1−μ2≠0

TStat=___

p-value=____

Choose the correct conclusion below.

A. Reject H0. There is insufficient evidence of a difference in the mean ratings between the two types of cellphone providers.

B. Do not reject H0. There is insufficient evidence of a difference in the mean ratings between the two types of cellphone providers.

C. Reject H0. There is sufficient evidence of a difference in the mean ratings between the two types of cellphone providers.

D. Do not reject H0. There is sufficient evidence of a difference in the mean ratings between the two types of cellphone providers.

Which of the following is the correct interpretation of the p-value?

A. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is no difference in the sample mean ratings between the two types of cellphone providers.

B. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is no difference in the mean ratings between the two types of cellphone providers.

C. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is a difference in the mean ratings between the two types of cellphone providers.

D. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is a difference in the sample mean ratings between the two types of cellphone providers.

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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