ISO fits Fundamental deviations for shafts (selection) cf. DIN ISO 286-1 (1990-11) Fundamental d deviations 9 h k n P Fundamental IT9 ITS ITS ITS IT3 tolerance to to to to to IT3 IT1 to ITS IT3 IT3 IT3 to to to to to IT3 to IT 10 grade IT13 IT12 IT13 IT10 IT10 IT10 IT18 | ITS IT13 IT9 IT9 Table IT4 applies to Nominal dimension all fundamental tolerance grades Upper deviation es in um E over 117 to E 177 קזן all fundamental tolerance grades Lower deviation el in um over-to mm up to 3 -270 -60 -20 -14 -6 -2 3-6 -70 -30 -20 -10 -4 6-10 -280 -80 -40 -25-13 -5 40-50 50-65 10-18 -290 -95 -50 18-30 -300 -110 -65 30-40 -310 -120 -320 -130 -340 -140 -32 -16 -6 -40-20 44512 о -4 ° 0+2 +4 +6 +10 +14 ° -4 +1 +8 +12 +15 +19 ° -5 +1 ° +6 +10 +15 +19 +23 ° -6 -7 о -8 -80 -50-25 -9 ° -10 727 +1 0 +7 +12 +18 +23 +28 +2 ° +8 +15 +22 +28 +35 +2 0 +9 +17 +26 +34 +43 -100 -60 -30 -10 О -12 65-80 -360 -150 80-100 -380 -170 100-120 -410 -180 120-140 12 +41 +53 +2 22 О +11 +20 +32 +43 +59 +51 +71 -120 -72 -36 -12 ° -15 +3 о 13 +13 +23 +37 +54 +79 -460-200 +63 +92 140-160 -520 -210-145 -85-43 -14 0 -18 33 0 +15 +27 +43 +65 +100 160-180 -580-230 +68 +108 180-200 -660 -240 +77 +122 200-225 -740 -260 -170 -100 -50 -15 0-21 +4 о +17 +31 +50 +80 +130 225-250 -820 -280 +84 +140 250-280 -920 -300 +94 +158 -190 -110 -56 -17 0-26 +4 0+20 +34 +56 280-315 -1050 -330 +98 +170 315-355 -1200 -360 +108 190 -210 -125-62 -18 0-28 +4 0 +21 +37 +62 355-400 -1350 -400 400-450 -1500 -440 450-500 -1650 -480 Calculation of limit deviations +114 +208 +126+232 -230 -135 -68 -20 0-32 +5 0 +23 +40 +68 +132 +252

2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis Ho: µ = 1000 versus H1: µ# 1000 using a p-value. (b) Test the hypothesis using critical region(s) approach. (c) Suppose that the true mean lifetime is 1510 hours. What is type Il error probability for this| two-sided test.

A rigid pavement on a new interstate (3 lanes each direction) has been conservatively designed with a 12- inch slab, an Ec of 5.5 x 10 Ib/in? , a concrete modulus of rupture of 700 lb/in?, a load transfer coefficient of 3.0, an initial present serviceability index of 4.5, and a terminal serviceability index of 2.5. The overall standard deviation is 0.35, the subgrade CBR is 25, and the drainage coefficient is 0.9. The pavement was designed for 600 30-kip tandem axles per day and 1400 20-kip single axle loads per day. If the desired reliability was 90%, how long was this pavement designed to last? A 46 B 42 18 D) 37