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Mean and median for three observations. In the Mean and Median applet, place three observations on the line by clicking below it, two close together near the center of the line and one somewhat to the right of these two.
(a) Pull the single rightmost observation out to the right. (Place the cursor on the point, hold down a mouse button, and drag the point.) How does the mean behave? How does the median behave? Explain briefly why each measure acts as it does.
(b) Now drag the rightmost point to the left as far as you can. What happens to the mean? What happens to the median as you drag this point past the other two (watch carefully)?
Noise is measured in decibels, denoted as dB. One decibel is about the level of the weakest sound that can be heard in a quiet surrounding by someone with good hearing; a whisper measures about 30 dB.
ABC Manufacturing has six machines that perform particular task. Breakdowns happens frequently for this machine. Past records indicate that the number of breakdowns that happen each day is described by the probability distribution seen below:
Should the hypothesis be accepted or rejected at the 5% level of significance that the production of acceptable items is independent of the hour of the morning in which they are produced?
A player throws a fair coin and wins $1 each time it's heads, but loses $1 each time it's tails. The player will stop when his or her net winnings reach $1, or after n throws, whichever comes sooner. What is the player's probability of winning, an..
Sketch the specification limits and a Normal distribution for process output when Cp = 2 and the mean is 1.5σ away from the center of the specifications.
What kind of correlation do you expect to find between annual income and amount spent on car? Will it be positive or negative?
a survey of 25 randomly selected customers found the ages shown in years. the mean is 32.56 years and the standard
Find the number of die-hard Cubs fans who watched or listened to games when they were children. Do the same for the less loyal fans.
A department store, on average, has daily sales of $28,707.47. The standard deviation of sales is $1000. On Tuesday, the store sold $34,650.77 worth of goods. Find Tuesday's z score. Was Tuesday an unusually good day?
For each of the given population would the score of X=50 be considered central score (near middle of distribution) or extreme score (far out in the tail of the distribution )?
The following data give the annual incomes (in thousands of dollars) and amounts (in thousands of dollars) of life insurance policies for eight persons.
let x and y be independent and identically distributed random variables with common standard normal pdf offz
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