In: Statistics and Probability
Aiming to boost the economy within rural areas of Ontario, the
Government of Ontario invested on...
Aiming to boost the economy within rural areas of Ontario, the
Government of Ontario invested on a new initiative named Canada
Rural Partnership (CRP). Two consultancies won the bid to undertake
this project: Innovation Pursuit (IP) and North Consultancy
(NC).
IP supported far northern communities and NC supported rural
areas. IP and NC’s goal were to:
- Initiate collaboration between rural communities and
stakeholders to address barriers and challenges to local
development
- Prepare information and tools used by rural communities and
regions to develop local amenities and other assets
- Initiate new economic activities in rural Canada
During four years they provided advice to 653 clients. At this
point of time the government of Ontario is evaluating CRP’s
effectiveness based on a sample of 150 (75 IP clients and 75 NC
Clients). The sampled clients were asked to indicate their level of
satisfaction with CRP on the following basis:
- Usefulness of the following services provided (on the basis of
a continuous number that ranges from 1 (extremely ineffective) to 5
(extremely effective))
- one to one consultation,
- workshops
- information packages
- Funding.
- Client satisfaction with the government after receiving support
from CRP on the basis of a continuous number that ranges from 1
(extremely unsatisfied) to 5 (extremely satisfied))
- Client satisfaction of IP and NC (as an indicator of
performance) on the basis of a continuous number that ranges from 1
(extremely unsatisfied) to 5 (extremely satisfied))
* Assume the collected data has normal distribution
Government of Ontario would like to know the following based on
the collected data.
- Conduct a descriptive analysis of the sample focusing on
usefulness of service provided by focusing on measures of central
location and variance for two different variables, also use a graph
to describe usefulness of one to one consultation (15%).
- Is there any relationship between usefulness of
funding received and client satisfaction
of government after receiving consultation, use a graph to
depict this relationship and also conduct correlation analysis
(10%).
- Clients who participated in this program were asked to identify
their level of satisfaction with the government prior to receiving
consultation; this showed a mean of 3. The government of Ontario
likes to know whether their opinion has risen since based on the
sample (after the consultation) with 5% significance (20%).
- Clients were provided with 1) one to one consultation, 2)
workshops and 3) information packages 4) Funding. Now the
government of Ontario is interested to know if one to one
consultation was deemed more useful or
funding, estimate the mean for each with 95%
confidence and compare the results. (20%)
- Some of the employees of the Ontario government believe that IP
performed better than NC. 75 clients of IP and 75 clients of NC
were asked to report on their level of satisfaction from IP and NC.
Did IP really perform better than NC? (30%)
- Assume significance level of .05 when needed.
Directions:
- Answer each questions on a separate
Excel Sheet using Data Analysis and Data Analysis Plus or
XLSTAT.
- Analysis: 1) State your chosen method of analysis; 2) present
the test results in tables (Make sure to present the complete and
relevant Excel output (Table) for each of the questions). Note: If
the question involves hypothesis testing present the hypothesis
-Discussion: For each question briefly discus the findings of
the study, what do they mean? how can they help in decision
making?