0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 .5000 5040 5080 5120 .5160 .5199 .5239 5279 .5319 .5359 .5398 .5438 .5438 .5478 5517 .5557 5596 5636 5675 .5714 .5753 .5793 5832 .5871 5910 .5948 5987 .6026 .6064 .6103 .6141 .6179 6217 6255 6293 .6331 .6368 .6406 .6443 .6480 .6517 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 6915 6950 .6985 -7019 .7054 7054 7088 7123 7157 .7190 7224 .7257 .7291 .7324 .7357 .7389 .7422 7454 .7486 .7517 .7549 .7580 7611 .7642 .7673 .7704 .7734 .7764 7794 .7823 .7852 .7881 7910 7939 7967 7995 .8023 8051 .8078 8106 .8133 .8159 8186 .8212 8238 .8264 .8289 .8315 .8340 .8365 .8389 .8413 8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 .8643 .8665 .8686 8708 .8729 .8749 .8770 .8790 .8810 .8830 .8849 8869 8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 .9192 .9207 9222 .9236 9251 .9265 .9279 .9292 .9306 .9319 .9332 9345 9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 .9452 .9463 .9474 9484 .9495 .9505 .9515 .9525 .9535 9545 .9554 .9564 .9573 9582 .9591 9599 .9608 .9616 9625 .9633 .9641 9649 .9656 9664 .9671 .9678 9686 9693 .9699 .9706 9713 .9719 9726 9732 9738 .9744 9750 .9756 9761 .9767 .9772 .9778 9783 9788 9793 .9798 .9803 9808 9812 9817 .9821 .9826 9830 9834 .9838 .9842 9846 .9850 .9854 .9857 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 Estimate the area percentage under a normal curve between a z-score of 0.21 and 1.67
To estimate the area percentage under a normal curve between a z-score of 0.21 and 1.67, we first need to find the area to the left of each z-score using a standard normal distribution table or calculator.
For a z-score of 0.21, the area to the left is approximately 0.5832.
For a z-score of 1.67, the area to the left is approximately 0.9525.
Now, we subtract the smaller area from the larger area to find the area between the two z-scores:
0.9525 - 0.5832 = 0.3693
Therefore, the estimated area percentage under the normal curve between a z-score of 0.21 and 1.67 is approximately 36.93%.