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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?
Differentiate between prediction, projection and forecasting.
Formation of Continuous Frequency Distribution: Continuous frequency distribution is most popular in practice. With reference to the formation of this type of frequency distr
Two students are sitting in a lecture and considering whether to ask a question from the professor (both of them are considering the same question). If they both ask, the questi
Use the given information to find the P-value. The test statistic in a two-tailed test is z = 1.49 P-value = (round to four decimal places as needed)
Each section of the SAT test is supposed to be distributed normally with a mean of 500 and a standard deviation of 100. Suppose 5 students in a class took the SAT math test. They r
Analysis of covariance (ANCOVA) It is initially used for an expansion of the analysis of variance which permits to the possible effects of continuous concomitant variables (suc
For each of the following situations choose the statistical model that you find to be the most appropriate. Justify your choice. a) We are interested in assessing the effects of
Related Positional Measures Besides median, there are other measures which divide a series into equal parts. Important amongst these are quartiles, deciles and percentiles.
A) The three images shown below were blurred using square masks of sizes n=23, 25, and 45, respectively. The vertical bars on the le_ lower part of (a) and (c) are blurred, but a c
For calculating the mode of the grouped data graphically, the following procedure is adopted. Draw a histogram of the data; the modal class is the tallest rectangle.
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