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Question

Consider the data set.

2, 3, 5, 7, 9

(a) Find the range. (Enter an exact number.)

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(b) Use the defining formula to compute the sample standard deviation s. (Enter a number. Round your answer to two decimal places.)



(c) Use the defining formula to compute the population standard deviation σ. (Enter a number. Round your answer to two decimal places.)


Consider sample data with x bar = 16 and s = 4. (For each answer, enter an exact number.)

(a) Compute the coefficient of variation (as a percent).

%


(b) Compute a 75% Chebyshev interval around the sample mean.

Lower Limit  

Upper Limit  


Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.

x 14.5 28.6 24.5 14.3 7.5 27.7 16.2 20.1

y 28 73 39 23 15 30 15 25

(a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. (Submit a file with a maximum size of 1 MB.)  

This answer has not been graded yet.



(b) Use a calculator to verify that Σ(x) = 153.4, Σ(x2) = 3322.94, Σ(y) = 248, Σ(y2) = 10138 and Σ(x y) = 5467.2.


Compute r. (Enter a number. Round to 3 decimal places.)


As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.

Given our value of r, y should tend to increase as x increases.

Given our value of r, we can not draw any conclusions for the behavior of y as x increases.  

Given our value of r, y should tend to decrease as x increases.

Given our value of r, y should tend to remain constant as x increases.

Top Answer

a) range=7 b) sample stdev =2.86 c) population stdev =2.56 ************** a) coefficient of variation CV = 25%... View the full answer

scatterplot_1.PNG

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