Statistics problem

Question

A random sample of 100 full-grown lobsters had a mean weight of 26 oz. Construct a 90% confidence interval for the population mean if σ= 3.8 oz

(If possible show how to do on a TI-83 or TI-84 Calculator)

Answer 1

Because we don't know the population standard deviation, we will use the t-distribution.

To get a numerical answer using a TI-83 or TI-84 calculator, use Stat->Tests->T-Interval. Chose Stats (as opposed to Data, since we already have the sample mean and sample standard deviation statistics, rather than just raw data).

Enter the mean as x-bar,

sample standard deviation as Sx,

the sample size as n,

and the confidence level as C-Level.

The result should be that the 90% confidence interval is (25.37 ounces, 26.63 ounces)

Let me know if you would also like to know how to do this "by hand".