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The director of a government agency heard that their financial department is receiving an average of 6 complaints from the customers in a week. To solve the problem, he assigned his secretary to collect some data to see if he needs to replace the supervisor of that department. The director will replace the supervisor if the actual mean number of complaints towards the financial department is greater than 6 per week. The secretary gathered data over the next 12 weeks and discovered that the mean number of weekly complaints towards the financial department is 7 with a variance of 3.25. a) Determine an appropriate statistical analysis to be used in this study. b) Calculate the t-statistic for this study. c) Test at the 5% significance level, is the director going to replace the department supervisor? Show the relevant steps.

The director of a government agency heard that their financial department is receiving an average of 6 complaints from the customers in a week. To solve the problem, he assigned his secretary to collect some data to see if he needs to replace the supervisor of that department. The director will replace the supervisor if the actual mean number of complaints towards the financial department is greater than 6 per week. The secretary gathered data over the next 12 weeks and discovered that the mean number of weekly complaints towards the financial department is 7 with a variance of 3.25. a) Determine an appropriate statistical analysis to be used in this study. b) Calculate the t-statistic for this study. c) Test at the 5% significance level, is the director going to replace the department supervisor? Show the relevant steps.

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
Section10.4: Distributions Of Data
Problem 19PFA
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The director of a government agency heard that their financial department is receiving an average of 6 complaints from the customers in a week. To solve the problem, he assigned his secretary to collect some data to see if he needs to replace the supervisor of that department. The director will replace the supervisor if the actual mean number of complaints towards the financial department is greater than 6 per week. The secretary gathered data over the next 12 weeks and discovered that the mean number of weekly complaints towards the financial department is 7 with a variance of 3.25. a) Determine an appropriate statistical analysis to be used in this study. b) Calculate the t-statistic for this study. c) Test at the 5% significance level, is the director going to replace the department supervisor? Show the relevant steps.
Transcribed Image Text:The director of a government agency heard that their financial department is receiving an average of 6 complaints from the customers in a week. To solve the problem, he assigned his secretary to collect some data to see if he needs to replace the supervisor of that department. The director will replace the supervisor if the actual mean number of complaints towards the financial department is greater than 6 per week. The secretary gathered data over the next 12 weeks and discovered that the mean number of weekly complaints towards the financial department is 7 with a variance of 3.25. a) Determine an appropriate statistical analysis to be used in this study. b) Calculate the t-statistic for this study. c) Test at the 5% significance level, is the director going to replace the department supervisor? Show the relevant steps.
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