Question: 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,

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}$30Sum Weights30
Mean1908.76667Sum Observations57263
Std Devion 327.115047Variance107004.254
Basic Statistical Measures


Location
Variability
Mean1908.767Std Deviation327.11505
Median1863.000Variance107004


Range1658


erquartile Range349.00000
LevelQuantile
100% Max2983.0
$99 %$2983.0
$95 %$2403.0
$90 %$2301.0
75% Q32061.0
$50 %$ Median1863.0
25% Q11712.0
10%1561.5
$5 %$1419.0
$1 %$1325.0
0% Min1325.0

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

Data From Exercise 2.59

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



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.

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