The accompanying summary statistics for a measure of social marginality for samples of youths, young adults. adults, and
seniors appeared in the paper "perceived causes of loneliness in adulthood" [journal of social behavior and personality
[2000]: 67—84). the social marginality score measured actual and perceived social rejection, with higher scores indicating
greater social rejection. for purposes of this exercise, assume that it is reasonable to regard the four samples as
representative of the u. s. population in the corresponding age groups and that the distributions of social marginality
scores for these four groups are approximately normal with the same standard deviation. is there evidence that the mean
social marginality score is not the same for all four age groups? test the relevant hypotheses using a a = .01
young
age group youth admits adults seniors
sample size '06 255 314 36
e 2.00 3.40 3.07 2.84
s ls6 l68 [.66 l.89

Carley bought a jacket that was discounted 10% off the original price. the expression below represents the discounted price in dollars, based on x, the original price of the jacket.

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.