Regression analysis and experimental design, Applied Statistics

Assignment Help:

For many decades, there has been considerable attention paid to identifying various factors that help to reduce the number of fatalities on Australian roads. In 1964 Victoria and South Australia made it a legal requirement to fit seat belts in newly manufactured cars, with this requirement coming into effect in Europe in 1965. In 1970, Victoria became the first in the world to make wearing seat belts compulsory for drivers and front-seat passengers.

With the worldwide introduction of front-seat passenger restraints in automobiles it is vitally important to ensure that the quality of craftsmanship of the restraints meets international standards.

To study the effectiveness of passenger restraint (seat-belt) systems, five popular brands were tested. To avoid any commercial confidentiality issues these brands have been randomly labelled system A, B, C, D, and E. For each system, a sample of five seat belts was randomly selected. The restraints were tested by measuring the forces at critical points on a test dummy when a vehicle was crashed into a barrier. The data

a) Given this data, test whether there is any evidence to suggest that there is a difference in the five systems in the event of a fatal injury occurring?

b) State any and all of the assumptions you have made in part a). Where appropriate perform any relevant tests with a level of significance of 0.05. From a practical point of view could an alternative level of significance be considered?

c) Using Tukey's procedure, analyse the nature of the treatment effects by making all pairwise comparisons among the treatment means. Are your findings here consistent with those obtained in part a)?

d) Suppose that a car manufacturer is near the end of a contract that specifies that they must install seat belt restraint A into newly made cars. Test whether the remaining restraint systems provide equivalent safety results when compared with system A. Since the car manufacturer is near the end of the contract with system A, given these findings, would the company risk passenger safety by installing an alternative seat belt restraint? What other factors might impact upon a company's decision to install another restraint system?

Loranze curve, what the purpose we use it

what the purpose we use it

Keno, Having 11 numbered balls -0 to 10 -into a basket and have 6 spaces t...

Having 11 numbered balls -0 to 10 -into a basket and have 6 spaces to be numbered with the balls selected in each 6 chances and it returned it back to the basket each time. Chanc

Index number, give a elementary example for characterstics of index number

give a elementary example for characterstics of index number

Determine the optimal order size, The Truly Canadian Restaurant stocks a pr...

The Truly Canadian Restaurant stocks a private red table wine that it purchases from a local winery in the Niagara Falls region. The daily demand for the wine at the restaurant is

CERTIFICATE OF AIRWORTHINESS FOR EXPORT, CERTIFICATE OF AIRWORTHINESS FOR E...

CERTIFICATE OF AIRWORTHINESS FOR EXPORT When aircraft manufacturers go into series production of a new type of aircraft, then obviously they are hopeful of world wide sales. Sim

Data reduction, The PCA is amongst the oldest of the multivariate statistic...

The PCA is amongst the oldest of the multivariate statistical methods of data reduction. It is a technique for simplifying a dataset, by reducing multidimensional datasets to lower

Muti linear regression model problem, Muti linear regression model problem ...

Muti linear regression model problem An investigator is studying the relationship between weight (in pounds) and height (in inches) using data from a sample of 126 high school

calculate the test statistics, A manufacturer has received complaints that...

A manufacturer has received complaints that aging production equipment is forcing workers to work overtime in order to meet production quotas. Historically, the average hours worke

Find the probability customers pay their bill in full, The proportion of Am...

The proportion of American Express credit-card holders who pay their credit card bill in full each month is 23%; the other 77% make only a partial or no payment. (a) In a random

Stratified sampling, Stratified Sampling Stratified Sampling is ...

Stratified Sampling Stratified Sampling is generally used when the population is heterogeneous. In this case, the population is first subdivided into several parts (or s