With reference to Example 4.

(a) verify the calculation of the tolerance bound \(L\);

(b) if the confidence is decreased to \(90 \%\), calculate the new tolerance bound (use \(K=2.010)\)

(c) check the cardboard strength data for departures from normality using a normal-score plot.

Data From Example 4

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EXAMPLE 4 Calculating a lower tolerance bound for the strength of cardboard The cardboard industry is considering new standards for the cardboard used in boxes. One test involves placing weight on the box until it bursts. The burst strengths, in pounds per square inch, for 40 boxes are 210 234 216 232 262 183 227 197 248 218 256 218 244 259 263 185 218 196 235 223 212 237 275 240 217 263 240 247 253 269 231 254 248 261 268 262 247 292 238 215 Obtain a 95% tolerance bound that will be less than proportion 0.95 of the population of burst strengths.