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Question: Payroll. Here are the summary statistics for the weekly payroll of a small company: lowest salary = $300, mean salary = $700, median = $500, range = $1200, IQR = $600, first quartile = $350, standard deviation = $400.
a) Do you think the distribution of salaries is symmetric, skewed to the left, or skewed to the right? Explain why
b) Between what two values are the middle 50% of the salaries found?
c) Suppose business has been good and the company gives every employee a $50 raise. Tell the new value of each of the summary statistics.
d) Instead, suppose the company gives each employee a 10% raise. Tell the new value of each of the summary statistics.
It is hypothesized that when homing pigeons are disoriented in a certain manner, they will exhibit no preference for any direction of flight after takeoff (so that the direction X should be uniformly distributed on the interval from 0° to 360°).
If W denotes the total number of spaces one moves under these special conditions, find the mean and standard deviation of W.
What is the range, and why is it not ideal as an index of variability?- Give a definition of variance, then explain how you would calculate it.
The marketing department of a nationally known cereal maker plans to conduct a national survey to find out whether or not consumers of flake cereals.
Define T , the "ordinal triangle," by T := {(x , y) ∈ X × X : y x }. Evaluate the iterated integrals (( 1T (x, y) dµ(y) dµ(x ) and (( 1T (x, y) dµ(x ) dµ(y). How are the results consistent with the product measure theorems?
The block is now lifted to a height 3a/2 above the floor and released from rest. Find the compression of the spring when the block first comes to rest.
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of all orders that arrive on time is 88% ; 6%. Wha..
Is there any evidence that the variability in wingspan of the monarch butterfly has increased? Assume normality and use a = 0.05.
A random sample of 75 houses is taken and the average price is computed. What is the probability that the sample mean exceeds $3 million?
a passenger can travel from home to another city by car c ship s place p or train t. in a given year the passenger
If a random sample of 64 test scores is selected, what is the standard deviation of the sample mean? What is the probability that 64 randomly selected test scores will have a mean test score that is between 475 and 525?
An entrepreneur owns two hotels, one in the western region of a certain state and the other in the eastern region. He thinks that the average amount spent by guests for lunch at his Friendly Café-West is less than $34.50
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