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The national average for the number of students per teacher for all US public schools is...

The national average for the number of students per teacher for all US public schools is 16.1. A random sample of 12 school districts from a moderately populated area showed that the mean number of students per teacher was 18.2 with a variance of 4.41. Estimate the true mean number of students per teacher with 95% confidence. Put answers in the form: (lower,upper) & to 2 decimal places. How does your estimate compare with the national average?

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Answer #1
sample mean 'x̄= 18.200
sample size   n= 12.00
sample std deviation s= 2.1000
std error 'sx=s/√n= 0.6062
for 95% CI; and 11 df, value of t= 2.201
margin of error E=t*std error    = 1.334
lower bound=sample mean-E = 16.866
Upper bound=sample mean+E = 19.534
from above 95% confidence interval for population mean =(16.87,19.53)

our confidence interval has all values above  the national average value of 16.1.

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