The following data represent the number of cycles to failure of aluminum test coupons subjected to repeated alternating stress at 21,000 psi, 18 cycles per second:

1120 2135 1679 3015 1265 1735 1540

1315 1426 1021 1915 1893 1107 1786

1545 1114 1107 1023 1787 1583 1755

1507 1486 1610 1457 1527 763 1506

1263 1572 711 1895 1797 1421 1243

1320 1888 2220 2105 1005 1565 995

1090 1208 790 1599 1825 1060 1473

803 1275 890 2028 1945 1769 1517

1025 1020 1228 1320 1125 1335 1755

870 850 380 1274 915 1613 1647

1. Construct a frequency histogram for the failure data and provide interpretations.

2. Construct a box plot of the failure data. Do you detect any outliers? Specify.

3. Construct the intervals ( ), ( 2), nd ( 3). Count the number of observations that fall within each interval and find the corresponding percentages. Compare the results to the empirical rule and comment on the results.