6.1.11

The following data are the joint temperatures of the O-rings (F) for each test firing or actual launch of the Space Shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger Accident, Vol. 1, pp. 129-131): 84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31.

Compute the sample mean and sample standard deviation and construct a dot diagram of the temperature data.

6.2.5 The following data are the numbers of cycles to failure of aluminum test coupons subjected to repeated alternating stress at 21,000 psi, 18 cycles per second 1115 865 1015 885 1594 1000 1416 1501 1310 2130 845 1223 2023 1820 1560 1238 1540 1421 1674 375 1315 1940 1055 990 1502 1109 1016 2265 1269 1120 1764 1468 1258 1481 1102 1910 1260 910 1330 1512 1315 1567 1605 1018 1888 1730 1608 1750 1085 1883 706 1452 1782 1102 1535 1642 798 1203 2215 1890 1522 1578 1781 1020 1270 785 2100 1792 758 1750 Construct a stem-and-leaf display for these data. Calculate the median and quartiles of these data. Does it appear likely that a coupon will "survive" beyond 2000 cycles? Justify your answer. 6.2.11 A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a o-to-100-point scale. The results follow. Construct a stem-and-leaf diagram for these data and comment on any important features that you notice. Compute the sample mean, the sample standard deviation, and the sample median. A wine rated above 90 is considered truly exceptional. What proportion of the taste-tasters considered this particular pinot noir truly exceptional? 94 90 92 91 91 86 89 91 91 90 90 93 87 90 91 92 80 86 89 90 88 95 91 88 89 92 95 92 85 91 85 89 88 84 85 90 90 83\f6.5-3 The 100 annual Wolfer sunspot numbers from 1770to 1869 follow. (For an interesting analysis and interpretation of these numbers, see the book by Box, Jenkins, and Reinsel referenced in Exercise 6.5.1. Their analysis requires some advanced knowledge of statistics and statistical model building.) Read down, then left to right. The 1869 result is 74. Construct and interpret either a digidot plot or a stem-and-leaf and time series plot of these data. 101 31 154 38 83 90 82 125 23 132 67 66 20 85 10 131 60 35 92 58 24 118 47 41 10 16 8 62 94 21 X 7 13 98 96 16 4 57 124 77 122 96 59 8 138 66 44 17 103 64 47 14 12 36 86 54 30 34 14 50 63 39 16 45 35 52 37 21 7 43 46 57 24 7 37 48 41 71 11 4 74 42 30 48 15 23 28 24 28 40 55