s 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 What other assumption is necessary in (a)? A. Since the sample sizes are both less than 30, it must be assumed that the sample variances are equal. B. Since the sample sizes are both less than 30, it must be assumed that both sampled populations are approximately normal. C. Since the sample sizes are both less than 30, it must be assumed that the sample sizes are equal. D. Since the sample sizes are both less than 30, it must be assumed that the samples are specifically chosen and not independently sampled. Assuming that the population variances from both types of cellphone providers are equal, construct and interpret a 90% confidence interval estimate of the difference between the population means of the two types of cellphone providers. The 90% confidence interval is __ ≤μ1−μ2≤ __. (Round to two decimal places as needed.) Which of the following is the best interpretation of the confidence interval? A. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers is larger than the upper bound. B. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers falls in this interval. C. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers falls outside this interval. D. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers is smaller than the lower bound. What conclusions can you reach about 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? Since the hypothesis test __A__ the null hypothesis and the confidence interval __B__ 0, conclude that there is __C__ in mean satisfaction ratings between the two types of providers. A: reject or does not reject B: does not contain or contains C: no difference or a difference

s 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 What other assumption is necessary in (a)? A. Since the sample sizes are both less than 30, it must be assumed that the sample variances are equal. B. Since the sample sizes are both less than 30, it must be assumed that both sampled populations are approximately normal. C. Since the sample sizes are both less than 30, it must be assumed that the sample sizes are equal. D. Since the sample sizes are both less than 30, it must be assumed that the samples are specifically chosen and not independently sampled. Assuming that the population variances from both types of cellphone providers are equal, construct and interpret a 90% confidence interval estimate of the difference between the population means of the two types of cellphone providers. The 90% confidence interval is ≤μ1−μ2≤ . (Round to two decimal places as needed.) Which of the following is the best interpretation of the confidence interval? A. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers is larger than the upper bound. B. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers falls in this interval. C. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers falls outside this interval. D. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers is smaller than the lower bound. What conclusions can you reach about 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? Since the hypothesis test A the null hypothesis and the confidence interval B 0, conclude that there is C in mean satisfaction ratings between the two types of providers. A: reject or does not reject B: does not contain or contains C: no difference or a difference

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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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

What other assumption is necessary in (a)?

A. Since the sample sizes are both less than 30, it must be assumed that the sample variances are equal.

B. Since the sample sizes are both less than 30, it must be assumed that both sampled populations are approximately normal.

C. Since the sample sizes are both less than 30, it must be assumed that the sample sizes are equal.

D. Since the sample sizes are both less than 30, it must be assumed that the samples are specifically chosen and not independently sampled.

Assuming that the population variances from both types of cellphone providers are equal, construct and interpret a

90% confidence interval estimate of the difference between the population means of the two types of cellphone providers.

The 90% confidence interval is __ ≤μ1−μ2≤ __.

(Round to two decimal places as needed.)

Which of the following is the best interpretation of the confidence interval?

A. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers is larger than the upper bound.

B. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers falls in this interval.

C. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers falls outside this interval.

D. One can say with 90% confidence that the difference between the population mean ratings of the two types of cellphone providers is smaller than the lower bound.

What conclusions can you reach about 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?

Since the hypothesis test __A__ the null hypothesis and the confidence interval __B__ 0, conclude that there is __C__ in mean satisfaction ratings between the two types of providers.

A: reject or does not reject

B: does not contain or contains

C: no difference or a difference

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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