Refer to the \(2 \times 4\) lumber strength data in Exercise 2.58, page 48. According to the computer output, a sample of \(n=30\) specimens had \(\bar{x}=1908.8\) and \(s=\) 327.1. Find a \(95 \%\) confidence interval for the population mean strength.

Data From Exercise 2.58

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2.58 Modern computer software programs have come a long way toward removing the tedium of calculating statistics. MINITAB is one common and easy-to-use program. We illustrate the use of the computer us- ing MINITAB commands. Other easy-to-use programs have a quite similar command structure. The lumber used in the construction of buildings must be monitored for strength. Data for the strength of 2 4 pieces of lumber in pounds per square inch are in the file 2-58.TXT. We give the basic commands that calculate n, x, and s as well as the quartiles. The session commands require the data to be set in the first column, C1, of the MINITAB work sheet. The command for creating a boxplot is also included.