A random survey of enrollment at 20 community colleges across the United States yielded the following figures: 21,917; 2,274; 9,414; 7,681; 3,200; 17,500; 9,200; 7,380; 18,314; 6,557; 13,713; 17;768; 7,493 ; 2,771 ; 2,861; 1,263; 7,285; 28,165; 5,080; 11,653 a) assume the underlying population is normal. i. (-)x= ii. Sx= iii. n= iv. n-1= b) define the random variables x and (-)x in words c) which distribution should you use for this problem? d ) construct 95% confidence interval for the population mean enrollment at community colleges in the United States Enter your answer in interval notation round the answer to the nearest integer e) what will happen to the error bound and confidence interval if 18 community colleges were surveyed?
A random survey of enrollment at 20 community colleges across the United States yielded the following figures:
21,917; 2,274; 9,414; 7,681; 3,200; 17,500; 9,200; 7,380; 18,314; 6,557; 13,713; 17;768; 7,493 ; 2,771 ; 2,861; 1,263; 7,285; 28,165; 5,080; 11,653
a) assume the underlying population is normal.
i. (-)x=
ii. Sx=
iii. n=
iv. n-1=
b) define the random variables x and (-)x in words
c) which distribution should you use for this problem?
d ) construct 95% confidence interval for the population mean enrollment at community colleges in the United States
Enter your answer in interval notation
round the answer to the nearest integer
e) what will happen to the error bound and confidence interval if 18 community colleges were surveyed?
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