Statistics - Hypothesis Testing Projects

Q1 A study on the occurrence of line faults in an electricity supply network was carried out over a two-year

Q1 A study on the occurrence of line faults in an electricity supply network was carried out over a two-year period. Data was collected from six regions on the number of faults per year in each of the two years, and gave the results shown in the table below.

Region	Year	Line length (miles)	# of Faults.
Midlands	2000	15.6	15
Midlands	2001	15.6	18
North	2000	23.66	22
North	2001	23.66	16
South	2000	26.40	23
South	2001	26.40	18
East	2000	33.58	18
East	2001	33.58	28
West	2000	47.30	33
West	2001	47.30	27
Coast	2000	50.64	30
Coast	2001	50.64	27

Does the data indicate that the number of faults per mile has changed from year 2000 to year 2001?
Draw the graph relating Number of Faults to Line length.
Does the data support the suggestion that the two variables (# Faults and Line length) are related? If so, find the relationship between them and state the probable limits of the Regression Coefficient with 95% confidence.
Test the hypothesis that the graph should pass through the origin (i.e. = 0). Explain what this means in practical terms.

Q3.(i) A study of trends in logistics information systems published in the journal Industrial Engineering , found the greatest advances in computerisation were in transportation. It showed 90% of all industries contain open order shipping files in their databases. In a random sample of 10 firms, if x is the number of open order shipping files in their databases, then:

What distribution is most likely to be appropriate for modelling the data?
Find the probability that x = 8.
Find the probability that x > 6.
Find the mean and standard deviation of x .

The air in a "clean room" used for the production of electronic devices is cleaned by filtering. The air on the outside of the filters is monitored daily to check that ambient conditions are not changing significantly. The table below shows the results of counting the number of dust particles in a standard volume of air over a period of time:

Number of particles in sample	Number of samples
0	3 3
1	4 5
2	3 8
3	1 8
4	4
5	2
6	0

Suggest a model that is likely to be appropriate for modelling this data.
If a sample taken at a later date has 8 particles in a standard sample, does it seem that air quality is deteriorating? (Explain your answer, and choice of test.)

Price: $7.42

Solution: The downloadable solution consists of 4 pages, 342 words and 4 charts.
Deliverable: Word Document