Please answer all parts.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 158 lb and a standard deviation of 28.7 lb. Click here to view page 1 of the standard normal distribution. X i Standard Normal Distribution Table (Page 2) Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb. Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 The probability is approximately . (Round to four decimal places as needed.) 5080 5120 5160 5199 5239 5279 5319 5359 0.C 5000 .5040 b. If 34 different pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. .5478 .5517 .5557 .5596 5636 .5675 5714 .5753 0.1 .5398 5438 .5832 .6141 0.2 5871 5910 .5948 5987 6026 6064 6103 5793 The probability is approximately . (Round to four decimal places as needed.) 0.3 6179 .6217 6255 6293 .6331 6368 6406 6443 6480 6517 6591 6628 6664 .6700 6736 6772 .6808 6844 6879 0.4 6554 c. When redesigning the ejection seat, which probability is more relevant? 0.5 6915 6950 6985 .7019 .7054 .7088 7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 7422 .7454 .7486 7517 .7549 O A. Part (b) because the seat performance for a sample of pilots is more important. 0.7 7580 7611 7642 .7673 .7704 7734 .7764 7794 .7823 7852 0.8 7881 .7910 .7939 7967 .7995 .8023 8051 .8078 8106 8133 O B. Part (b) because the seat performance for a single pilot is more important. 0.9 .8159 .8212 8238 .8264 8315 .8340 .8365 8389 .8186 8289 8599 8621 O C. Part (a) because the seat performance for a single pilot is more important. 1.0 .8413 .8438 8461 8485 8508 8531 8554 8577 1.1 8643 .8665 .8686 8708 8729 .8749 8770 8790 8810 .8830 O D. Part (a) because the seat performance for a sample of pilots is more important. 1.2 8849 .8869 8888 8907 .8925 .8944 8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 9082 .9099 .9115 9131 .9147 .9162 9177 1.4 .9306 .9319 9192 .9207 9222 9236 9251 9265 9279 .9292 1.5 .9332 .9345 .9357 9370 .9382 .9394 9406 9418 .9429 9441 1.6 .9452 .9463 .9474 9484 9495 9505 9515 9525 .9535 9545 1.7 9554 .9564 9573 9582 .9591 9599 9608 9616 9625 9633 9699 9706 1.8 9641 .9649 .9656 9664 9671 .9678 9686 .9693 1.9 9713 .9719 .9726 9732 9738 9744 9750 9756 9761 9767 2.0 9772 .9778 .9783 9788 .9793 .9798 9803 .9808 .9812 .9817 9821 .9830 9846 9854 .9857 2.1 .9826 9834 .9838 .9842 .9850 9864 9868 9871 9875 .9878 9881 9884 9887 9890 2.2 9861 2.3 9893 9896 9898 9901 9904 .9906 9909 .9911 .9913 9916 2.4 9918 9920 .9922 9925 .9927 .9929 9931 .9932 9934 9936 2.5 9938 9940 9941 .9943 9945 9946 9948 9949 9951 9952 2.6 9953 .9955 9956 .9957 9959 9960 9961 9962 9963 .9964 9967 9973 .9974 2.7 9965 9966 9968 9969 9970 997 9972 Click to select your answer(s)
