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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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
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