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. 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? (Use α=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 sufficient 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 insufficient 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.

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. 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? (Use α=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 sufficient 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 insufficient 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.

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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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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? (Use

α=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 sufficient 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 insufficient 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.

# Mobile Phone Provider Ratings

This table displays ratings for various types of mobile phone service providers, categorized as either "Traditional" or "Prepaid." The ratings are likely based on customer satisfaction or service quality metrics, though the specific criteria for these ratings are not provided.

### Provider Ratings Overview

| Type of Provider | Rating |
|------------------|--------|
| Traditional | 87 |
| Traditional | 88 |
| Traditional | 81 |
| Traditional | 76 |
| Traditional | 75 |
| Traditional | 72 |
| Traditional | 74 |
| Traditional | 72 |
| Traditional | 69 |
| Traditional | 66 |
| Prepaid | 87 |
| Prepaid | 87 |
| Prepaid | 85 |
| Prepaid | 79 |
| Prepaid | 81 |
| Prepaid | 78 |
| Prepaid | 75 |
| Prepaid | 74 |
| Prepaid | 74 |
| Prepaid | 72 |
| Prepaid | 69 |
| Prepaid | 72 |
| Prepaid | 68 |

### Analysis

- **Traditional Providers**: The ratings for traditional providers range from 66 to 88. The majority of these ratings fall between 70 and 80, indicating generally positive feedback with some variations.

- **Prepaid Providers**: The ratings for prepaid providers range from 68 to 87. Similar to traditional providers, most prepaid ratings are concentrated in the 70 to 80 range, though there are instances of higher ratings reaching 87.

No graphical representations or diagrams accompany this data. The table format provides a straightforward comparison between different service provider types based on customer ratings.

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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