A credit card company operates two customer service centers. Callers to the service centers dial a single number, and a computer program routes callers to the center having the fewest calls waiting. As part of a customer service review program, the credit card center would like to determine whether the average length of a call (not including hold time) is different for the two centers. The managers of the customer service centers are willing to assume that the populations of interest are normally distributed with equal variances. Suppose a random sample of phone calls to the two centers is selected and the results that were reported are shown below. Complete parts a and b. Center A Center B Sample Size Sample Mean (seconds) Sample St. Dev. (seconds) 130 55.7 5.9 150 68.7 5.8 a. Using the sample results, develop a 95% confidence interval estimate for the difference between the two population means. Let sample 1 be the sample from Center A and let sample 2 be the sample from Center B. Os (1 - 1) =O (Round to two decimal places as needed.) b. Based on the confidence interval constructed in part a, what can be said about the difference between the average call times at the two centers? (Type integers or decimals rounded to two decimal places as needed. Use ascending order.) O A. The interval means that the difference between the sample means will be between seconds and seconds for % of the samples. O B. The interval means that, with % confidence, the length of calls in Center A are, on average, between seconds and seconds faster than Center B. O C. The interval means that there is a(n) probability that the difference between the population means is between seconds and seconds

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A credit card company operates two customer service centers. Callers to the service centers dial a single number, and a computer program routes callers to the center having the
fewest calls waiting. As part of a customer service review program, the credit card center would like to determine whether the average length of a call (not including hold time) is
different for the two centers. The managers of the customer service centers are willing to assume that the populations of interest are normally distributed with equal variances.
Suppose a random sample of phone calls to the two centers is selected and the results that were reported are shown below. Complete parts a and b.
Center A
Center B
Sample Size
Sample Mean (seconds)
Sample St. Dev. (seconds)
130
150
55.7
68.7
5.9
5.8
a. Using the sample results, develop a 95% confidence interval estimate for the difference between the two population means. Let sample 1 be the sample from Center A and let
sample 2 be the sample from Center B.
D (4 - 42) O
(Round to two decimal places as needed.)
b. Based on the confidence interval constructed in part a, what can be said about the difference between the average call times at the two centers?
(Type integers or decimals rounded to two decimal places as needed. Use ascending order.)
O A. The interval means that the difference between the sample means will be between
seconds and
seconds for
% of the samples.
O B. The interval means that, with
% confidence, the length of calls in Center A are, on average, between
seconds and
seconds faster than Center B.
C. The interval means that there is a(n)
probability that the difference between the population means is between
seconds and
seconds
Transcribed Image Text:A credit card company operates two customer service centers. Callers to the service centers dial a single number, and a computer program routes callers to the center having the fewest calls waiting. As part of a customer service review program, the credit card center would like to determine whether the average length of a call (not including hold time) is different for the two centers. The managers of the customer service centers are willing to assume that the populations of interest are normally distributed with equal variances. Suppose a random sample of phone calls to the two centers is selected and the results that were reported are shown below. Complete parts a and b. Center A Center B Sample Size Sample Mean (seconds) Sample St. Dev. (seconds) 130 150 55.7 68.7 5.9 5.8 a. Using the sample results, develop a 95% confidence interval estimate for the difference between the two population means. Let sample 1 be the sample from Center A and let sample 2 be the sample from Center B. D (4 - 42) O (Round to two decimal places as needed.) b. Based on the confidence interval constructed in part a, what can be said about the difference between the average call times at the two centers? (Type integers or decimals rounded to two decimal places as needed. Use ascending order.) O A. The interval means that the difference between the sample means will be between seconds and seconds for % of the samples. O B. The interval means that, with % confidence, the length of calls in Center A are, on average, between seconds and seconds faster than Center B. C. The interval means that there is a(n) probability that the difference between the population means is between seconds and seconds
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