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A straight rod is formed by connecting three sections A, B and C, each of which is manufactured on a different machine. The length of section A, in inches has a normal distribution with mean 20 and variance 0.04. The length of section B, in inches, has a normal distribution with mean 14 and variance 0.01. The length of section C, in inches, has a normal distribution with mean 26 and variance 0.04. The three sections are joined so that there is an overlap of 2 inches at each connection. The rod is used in construction of an airplane wing if its total length is between 55.7 and 56.3. What is the probability that the rod can be used?
Do not forget to test for any applicable difference in means (Tukey implies).
A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sam..
Does the data set represent a sample or a population? If it is a sample, describe the population from which it has been drawn.
CASE STUDY: Are the Fish Safe to Eat? Assessing which Factors affect Mercury Levels in Fish in Maine Lakes.
How many dissimilar computer passwords are possible?
The life of a calculator manufactured by Intel corporation has a normal distribution with a mean of 50 months and a standard deviation of one year.
The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed.
Results of study are summarized below. Use a 5% level of significance and test claim that opinion is independent of brand.
Stanford Binet IQ scores have a mean of 100 and a standard deviation of 15. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score.
The following table shows SAT scores (on the old SAT with only two sections) for a sample of students. Give the equation of the least squares regression equation.
Probability of a flush. Poker player holds flush when all 5 cards in hand belong to same suit (clubs, diamonds, hearts, or spades).
Consider binomial distribution with 14 identical trials, and probability of success of 0.4.
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