20: XXXXXXXXXXApplied Statistics Problem Set 2 Requirement: Please finish all the following questions and upload your answers in Canvas. The entire problem set is 10 points in total. Your answers...

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Please finish all the following questions and upload your answers in Canvas. The entire problem set is 10 points in total. Your answers should be clearly written and well organized. They are to be typed, single spaced, and 12-Times New Roman format. Please copy answer under the question within the same Word document.


20:834.561.90 Applied Statistics Problem Set 2 Requirement: Please finish all the following questions and upload your answers in Canvas. The entire problem set is 10 points in total. Your answers should be clearly written and well organized. They are to be typed, single spaced, and 12-Times New Roman format. To make your work anonymous, do NOT write your name or other identity information in your answers. Your answers will be matched with you automatically in Canvas. 1. The director of a Masters of Public Administration Program is preparing a brochure to promote the program. She would like to include in the brochure the average grade point average (GPA) of first-year students in the program, but since time is pressing she decides to estimate this figure with a sample of ten students (GPAs are normally distributed). The GPAs are listed below. What is the best estimate of the average GPA for all first-year students? With 95 percent confidence, can the director conclude that the average GPAs for first-year students is a B or better (3.0 on a 4.0 scale)? 2.8 3.6 3.4 2.5 2.2 2.6 4.0 3.1 2.7 3.5 2. The mayor of Belmont, TX is concerned about levels of prostitution in the city. Over the past year, the police department arrested an average of 8.9 individuals per day for solicitation. The mayor believes that these numbers are unacceptably high and would like to do something to address the problem. With the cooperation of the city council, the mayor authorizes a program to publicly identify individuals found guilty of solicitation on a weekly community affairs program airing on Belmont public access television. Several episodes of the program have aired, and the mayor would like to determine whether this initiative has had any impact on discouraging prostitution activity. The police department has been able to provide the mayor’s office with 75 days’ worth of arrest data since the first stated airing of the programs. Assist the mayor by analyzing the data on arrest rates. State both a null hypothesis and an alternative hypothesis for this problem, analyze the t test output, and make a conclusion. What can the mayor’s office conclude about the effectiveness of this program? (The data set for this question is provided in the Excel spreadsheet) 3. The director of the Wisconsin Department of Business Licensing is looking for ways to improve employee productivity. Specifically, she would like to see an improvement in the percentage of applications that employees process correctly. The director randomly selects 50 employees and gather data on the percentage of applications each one correctly processed last month. On the recommendation of a consultant, the director has these 50 employees complete a 3-day workshop on Proactive Synergy Restructuring Techniques. At the end of the month following the training, the director collects the application 1 processing data for the same 50 employees. Help the director analyze these data by conducting a hypothesis test. From a statistical point of view, what can you tell the director? (The data set for this question is provided in the Excel spreadsheet). 4. The Department of Service Financing in the city of Belmont, NY has been experimenting with having city units provide services in house versus having private contractors provide the same services. In the city Grounds Department, half of the landscaping work is performed by city crews, whereas the other half is performed by a private landscaping firm. The city manager has collected random samples of weekly expense report data for both providers. He asks you to conduct a difference of mean test. What can the city manager conclude about the difference between in-house and private service provision? (The data set for this question is provided in the Excel spreadsheet). 2
Answered Same DayMar 23, 2021

Answer To: 20: XXXXXXXXXXApplied Statistics Problem Set 2 Requirement: Please finish all the following...

Suraj answered on Mar 23 2021
141 Votes
Solution 1:
The first-year students GPA is given as follows:
2.8, 3.6, 3.4, 2.5, 2.2, 2.6, 4.0, 3.
1, 2.7, 3.5
The histogram of the GPA is given as follows:
Since, the distribution of GPA is symmetric. So, the best point estimate of the average is the mean and the value of mean is 3.04 and the standard deviation is 0.57.
The sample size is 10.
Thus, the 95% confidence interval is given as follows:
Since, the confidence interval contain the value 3.0. So, the director can conclude that the average GPA of first-year students is a B.
Solution 2:
Let be the average arrest of the individuals per day for solicitation.
The hypotheses are given as follows:
The data is collected for 75 days. Thus, the sample size is 75.
The sample mean calculated from the excel,
The standard deviation,
The test-statistic,
Thus, the p-value is calculated using the Excel as follows:
p-value...
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