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Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The president of a large bank with many branch offices wanted to know if the quality of customer service at a new branch office was acceptable. One aspect of service that was examined was the length of time that customers had to wait in line before being helped by a member of the bank's staff. The bank decided on acceptable probabilities for the waiting- time categories, and these are given in the table below. Το investigate whether the quality of customer service was acceptable, waiting times were recorded for a random sample of 100 customers at the new branch office. The table below shows the numbers of customers observed in the five waiting-time categories. Use the sample data for the 100 customers to conduct a statistical test to determine if the waiting times at the new branch office are inconsistent with the acceptable probabilities for the waiting-time categories. Waiting-time Category No more than 1 minute Probability 0.30 More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes 0.25 0.20 More than 5 minutes but no more than 10 minutes More than 10 minutes 0.15 0.10 | Number of No more than 1 minute Waiting-time Category More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes More than 5 minutes but no more than 10 minutes More than 10 minutes Customers 25 21 21 20 13 Total 100

Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The president of a large bank with many branch offices wanted to know if the quality of customer service at a new branch office was acceptable. One aspect of service that was examined was the length of time that customers had to wait in line before being helped by a member of the bank's staff. The bank decided on acceptable probabilities for the waiting- time categories, and these are given in the table below. Το investigate whether the quality of customer service was acceptable, waiting times were recorded for a random sample of 100 customers at the new branch office. The table below shows the numbers of customers observed in the five waiting-time categories. Use the sample data for the 100 customers to conduct a statistical test to determine if the waiting times at the new branch office are inconsistent with the acceptable probabilities for the waiting-time categories. Waiting-time Category No more than 1 minute Probability 0.30 More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes 0.25 0.20 More than 5 minutes but no more than 10 minutes More than 10 minutes 0.15 0.10 | Number of No more than 1 minute Waiting-time Category More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes More than 5 minutes but no more than 10 minutes More than 10 minutes Customers 25 21 21 20 13 Total 100

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The president of a large bank with many branch offices wanted to know if the quality of customer service at a new branch office was acceptable. One aspect of service that was examined was the length of time that customers had to wait in line before being helped by a member of the bank's staff. The bank decided on acceptable probabilities for the waiting- time categories, and these are given in the table below. Το investigate whether the quality of customer service was acceptable, waiting times were recorded for a random sample of 100 customers at the new branch office. The table below shows the numbers of customers observed in the five waiting-time categories. Use the sample data for the 100 customers to conduct a statistical test to determine if the waiting times at the new branch office are inconsistent with the acceptable probabilities for the waiting-time categories. Waiting-time Category No more than 1 minute Probability 0.30 More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes 0.25 0.20 More than 5 minutes but no more than 10 minutes More than 10 minutes 0.15 0.10 | Number of No more than 1 minute Waiting-time Category More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes More than 5 minutes but no more than 10 minutes More than 10 minutes Customers 25 21 21 20 13 Total 100
Transcribed Image Text:Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The president of a large bank with many branch offices wanted to know if the quality of customer service at a new branch office was acceptable. One aspect of service that was examined was the length of time that customers had to wait in line before being helped by a member of the bank's staff. The bank decided on acceptable probabilities for the waiting- time categories, and these are given in the table below. Το investigate whether the quality of customer service was acceptable, waiting times were recorded for a random sample of 100 customers at the new branch office. The table below shows the numbers of customers observed in the five waiting-time categories. Use the sample data for the 100 customers to conduct a statistical test to determine if the waiting times at the new branch office are inconsistent with the acceptable probabilities for the waiting-time categories. Waiting-time Category No more than 1 minute Probability 0.30 More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes 0.25 0.20 More than 5 minutes but no more than 10 minutes More than 10 minutes 0.15 0.10 | Number of No more than 1 minute Waiting-time Category More than 1 minute but no more than 3 minutes More than 3 minutes but no more than 5 minutes More than 5 minutes but no more than 10 minutes More than 10 minutes Customers 25 21 21 20 13 Total 100
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