Question

HOMEWOIK. Modules mulleWUIR (LI. Score: 0 of 1 pt 7.2.15 Find the Z-score such that the area under the standard normal curve to the right is 0.37 =) Click the icon to view a table of areas under the normal curve. The approximate Z-score that corresponds to a right tail area of 0 37 is (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer Amon MG 1544 (1).jpg stats 10.jpg stat

Answer 1

The solution is done showing all steps with necessary calculations and required explanations. A Z-score table is also attached for better understanding. Hope you can understand.

We know that our table for Z-scores gives area to the left, so we need to convert it to right. For Normal distribution, total area under the curve is 1 Now, we solve for (1-x) which will give us the area to the left of our curve, where a is the area to the right of the standard Normal curve at point z a = 0.37 :,l-a 1-0.37 = 0.63 £(z) = 0.63 we look at our table and get (0.33) = 0.6293 ~ 0.63 Therefore, Z0.37 = 20:37 = 0.33

Z-score table-

Z 0.0 0.1 0.2 0.3 0.00 0.5000 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.7580 0.7881 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 0.6950 0.7291 0.7611 0.7910 0.02 0.5080 0.5478 0.5871 0.6255 0.6628 0.6985 0.7324 0.7642 0.7939 0.03 0.5120 0.5517 0.5910 0.6293 0.6664 0.7019 0.7357 0.7673 0.7967 0.04 0.5160 0.5557 0.5948 0.6331 0.6700 0.7054 0.7389 0.7704 0.7995 0.05 0.06 0.5199 0.5239 0.5596 0.5636 0.59870.6026 0.6368 0.6406 0.6736 0.6772 0.7088 0.7123 0.7422 0.7454 0.7734 0.7764 0.8023 0.8051 0.07 0.5279 0.5675 0.6064 0.6443 0.6808 0.7157 0.7486 0.7794 0.8078 0.08 0.5319 0.5714 0.6103 0.6480 0.6844 0.7190 0.7517 0.7823 0.8106 0.09 0.5359 0.5753 0.6141 0.6517 0.6879 0.7224 0.7549 0.7852 0.8133 0.4 0.5 0.6 0.7 0.8