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WebAdvisor Main Me h Hocking College: LogEnter your username Hocking College: Log Enter your username Elsevier Education Po Hocking College Ge - WebAdvisor Main Me a1 20Next reviouS Question 19 of 20 (1 point) College tuition: A simple random sample of 36 colleges and universities in New York State has a mean tuition of S31,190 with a standard deviation of$6,240. Construct a 95% confidence interval for the mean tuition for all colleges and universities in New York State. A 95% confidence interval for the mean tuition for all colleges and universities is [

Explanation / Answer

sol:

sample mean=xbar=31190

sample sd=6240

n=samplesize=36

n-1=35-1=34

alpha=1-0.95=0.05

alpha/2=0.5/2=0.025

t crit=2.0301

95% confidence interval for mean is

xbar-tcrit(s)/sqrt(n),

xbar+tcrit(s)/sqrt(n)

31190-2.0301(6240)/sqrt(36),31190+2.0301(6240)/sqrt(36)

29078.696<mu<33301.304

or

29079<mu<333301

rounding to nearest integer

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