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A clerk entering salary data into a company spread-sheet accidentally put an extra "0" in the boss's salary, listing it as $1,500,000 instead of $150,000, making the boss's salary much larger than anyone else's salary. Explain how this error will affect these summary statistics for the company payroll:
(a) measures of center: median and mean
(b) measures of spread: range, IQR, and standard deviation
What is the probability of 50 women having a sample mean below 171 pounds?
Let X1, ..., Xn be i.i.d. having the N(µ, s2) distribution with an unknown µ ? R and a known s2 > 0.
What is the problem with using the sum of squares as a measure of variability, that is, why is variance a better measure?
Use the Emperical Rule to determine what values 68% of the data would fall between for a mean of 24 and a standard deviation of 3.
The probability that a randomly selected 4?-year-old male beagle will live to be 5 years old is 0.95466.
Give a 99% confidence interval for the mean amount charges would have increased if this benefit had been extended to all such customers.
If we wish to estimate the proportion of students who use library on campus , which of the following would be more biased:
A manufacturing plant has 350 special lamps on its production lines. On any day, each lamp could fail with probability p = 0:0017.
Between what values do the lengths of the middle 95% of all horse pregnancies fall? What percentage of horse pregnancies are less than 333 days?
A sample of 30 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of chocolate chips per cookie in the sample was 7.8 with a standard deviation of 3.
If three independent measurements of the voltage are made, what is the probability that all three measurements will lie between 116 and 1 18?
Develop the appropriate graph to illustrate the relationship between fuel consumption per hour and passenger capacity. Discuss.
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