With reference to the lumber-strength data in Exercise 2.59, the statistical software package $S A S$ produced the output in Figure 2.20. Using this output,

(a) identify the mean and standard deviation and compare these answers with the values given in Exercise 2.59.

(b) Create a boxplot.

Variable: Strength The UNIVARIATE Procedure

Moments
$\mathrm{N}$	30	Sum Weights	30
Mean	1908.76667	Sum Observations	57263
Std Dev	ion 327.115047	Variance	107004.254
Basic Statistical Measures
Location		Variability
Mean	1908.767	Std Deviation	327.11505
Median	1863.000	Variance	107004
		Range	1658
		erquartile Range	349.00000

Level	Quantile
100% Max	2983.0
$99 %$	2983.0
$95 %$	2403.0
$90 %$	2301.0
75% Q3	2061.0
$50 %$ Median	1863.0
25% Q1	1712.0
10%	1561.5
$5 %$	1419.0
$1 %$	1325.0
0% Min	1325.0

Figure 2.20 Selected SAS output to describe the lumber strength data from Exercise 2.59

Data From Exercise 2.59

Transcribed Image Text:

2.59 (Further MINITAB calculation and graphs.) With the observations on the strength (in pounds per square inch) of 2 x 4 pieces of lumber already set in C1, the sequence of choices and clicks produces an even more complete summary (see Figure 2.17). Stat Basic Statistics > Graphical Summary Type strength in Variables. Click OK.