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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?
Charts when the Mean and the Standard Deviation are not known We consider the data corresponding to the example of Piston India Limited. Since we do not know population mean a
Standard Deviation The main drawback of the deviation measures of dispersion, as discussed earlier, is that the positive and negative deviations cancel out each other. Use of t
Advantages It is especially useful in case of open-end classes since only the position and not the values of items must be known. The median is also recommended if th
The cornlnunalities h j represent the fraction of the total variance' 'accounted for of variabie j. Ry calculating the communalities we can keep track of how much of-the orig
Histogram: It is generally used for charting continuous frequency distribution. In histogram, data are plotted as a series of rectangle one over the other. Class intervals
Median Median is a position average. It is the value of middle item of a variable when the items are arranged according to their values either in ascending or descending order.
The file Midterm Data.xls has a tab labeled "Many vs. S&P" which presents historical price data for several assets, a volatility condition (VIDX = 1 if the NYSE volatility is grea
A consumer preference study involving three different bottle designs (A, B, and C) for the jumbo size of a new liquid detergent was carried out using a randomized block experimenta
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how detect sources of error in sample survey
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