Question

You want to estimate the average starting salary of San Jose
graduates. You call a random sample

of 200 students who graduated in the last two years. After
collecting the data, you are about to

calculate the 95% confidence interval when you remember that
incomes

are skewed to the right. Isn’t a 95% confidence interval based on a
normal curve? Was all your

work in vain? Explain, making reference to the assumptions required
for confidence intervals to

be valid.

Answer #1

SoL

For constructing confidence interval for mean

the sample to simple independent random sample

and sample follows normal distribution (n>30)

as for large smaple (n>30),according to central limit theorem,sample follows normal distribution

Independence Assumption

Random sampling

Sample size condition: n > 30

Here n=200

so given sample follows normal distribution as n>30

And given sample is random sample

95% confidence interval based on a normal curve so work is not in vain

we can calculate 95% confidence interval for average starting salary of San Jose graduates based on sample of 200 students who graduated in the last two years

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