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You have an assembly line which produces 1L bottles of seltzer with a standard deviation of 0.05L.
• Assuming the distribution of volume is normal, what is the chance any single bottle's volume is between 0.85L and 0.95L?
• If you chose 100 bottles at random, what would be the expected average volume of the bottles in your sample? What would the standard deviation of the sample average be? What is the shape of this distribution? Give reasons for your answers.
• If you pulled a sample of 50 bottles, what is the chance that you would find the average volume was greater than 0.99L?
Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads "maximum capacity 1400kg or 20 persons". Suppose that the weights of lift-users are
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 S
Agency revenues. An economic consultant was retained by a large employment agency in a metropolitan area to develop a regression model for predicting monthly agency revenues ( y ).
two application of statistics
Construct index numbers of price for the following data by applying: i) Laspeyre’s method ii) Paasche’s method iii) Fisher’s Ideal Index number
Coefficient of Variation The standard deviation discussed above is an absolute measure of dispersion. The corresponding relative measure is known as the coefficient of vari
prove that coefficient of correlation lies between -1 and+1
Correlation The correlation is commonly used and a useful statistic used to describe the degree of the relationships between two or more variables. Pearson's correlation refle
In the early 1990s researchers at The Ohio State University studied consumer ratings of six fast-food restaurants: Borden Burger, Hardee's, Burger King, McDonald's, Wendy's, and Wh
.1 Modern hotels and certain establishments make use of an electronic door lock system. To open a door an electronic card is inserted into a slot. A green light indicates that the
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