Complete the following statement by filling in the blank with the appropriate word or phrase.1. The curve of a normal distribution extends indefinitely at the tail but does not__________.2. The area under a normal curve is ______.3. The area under a normal curve may also be expressed in terms of _ or__or___.4. The measure of the mean, the median and the mode of a normal curve are___.5. The skewness of a normal curve is 0 because it is a/an ___________shape.Find the corresponding area between z=0 and each of the following z-values: 1. z =1.752. z =-2.58 3. z = 1.32Determine each of the following areas and show these graphically. Use probability notation in your final answer.1. At most z = 1.462. Between z=-0.78 and z=-1.95Find each of the following percentile points under the normal curve. Complete your procedures and find the corresponding z-score of each problem. 1. P99 2. P32Given μ=62 and =8, find the z-score up to two decimal place that corresponds to each of the following raw scores. 1. X=82 2. X=42 TABLE 1Normal Curve AreasThe entries in the body of the table correspond tothe area shaded under the normal curve.0.000.010.020.030.040.050.060.070.080.090.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.03590.1 0.03980.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.11410.04380.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.07530.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.15170.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.18790.5 0.1915 0.19500.1985 0.2019 0.2054 0.2088 0.2123 0.21570.2190 0.22240.6 0.2257 0.22910.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.25490.7 0.25800.2611 0.2642 0.2673 0.2703 0.27340.2764 0.27940.28230.28520.8 0.28810.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.31330.9 0.3159 0.3186 0.3212 0.32380.3264 0.3289 0.3315 0.3340 0.3365 0.33891.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.35310.3554 0.3577 0.3599 0.36211.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.37900.3810 0.38301.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.39440.3962 0.3980 0.3997 0.40151.3 0.4032 0.40490.4066 0.4082 0.4099 0.4115 0.4131 0.41470.4162 0.41771.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.43191.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.44411.6 0.44520.4463 0.44740.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.45451.7 0.4554 0.45640.4573 0.45820.4591 0.45990.4608 0.4616 0.4625 0.46331.8 0.46410.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.47061.9 0.4713 0.47190.47260.47320.47380.47440.4750 0.47560.4761 0.47672.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.48172.1 0.48210.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.48572.2 0.48610.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.48902.3 0.48930.48960.48980.49010.4904 0.49060.49090.49110.4913 0.49162.4 0.4918 0.4920 0.4922 0.49250.4927 0.4929 0.4931 0.4932 0.4934 0.49362.5 0.4938 0.49400.49410.49430.4945 0.49460.49480.4949 0.4951 0.49522.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.49642.7 0.49650.4966 0.4967 0.49680.49690.4970 0.4971 0.4972 0.4973 0.49742.8 0.49740.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.49812.9 0.49813.0 0.49870.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.49860.49870.49870.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.49903.1 0.4990 0.49910.49910.49910.4992 0.49920.4992 0.4992 0.4993 0.49933.2 0.4993 0.4993 0.49940.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.49953.3 0.4995 0.4995 0.49950.49960.4996 0.4996 0.4996 0.49960.4996 0.49973.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.49983.5 0.4998 0.49980.4998 0.49980.4998 0.4998 0.4998 0.49980.4998 0.49983.6 0.49980.4998 0.4999 0.4999 0.4999 0.49990.4999 0.49990.4999 0.49993.7 0.4999 0.49990.4999 0.49990.4999 0.4999 0.4999 0.49990.4999 0.49993.8 0.4999 0.49990.4999 0.49990.4999 0.4999 0.4999 0.49990.4999 0.49993.9 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000

Question

Complete the following statement by filling in the blank with the appropriate word or phrase.1. The curve of a normal distribution extends indefinitely at the tail but does not__________.2. The area under a normal curve is ______.3. The area under a normal curve may also be expressed in terms of _ or__or___.4. The measure of the mean, the median and the mode of a normal curve are___.5. The skewness of a normal curve is 0 because it is a/an ___________shape.Find the corresponding area between z=0 and each of the following z-values: 1. z =1.752. z =-2.58 3. z = 1.32Determine each of the following areas and show these graphically. Use probability notation in your final answer.1. At most z = 1.462. Between z=-0.78 and z=-1.95Find each of the following percentile points under the normal curve. Complete your procedures and find the corresponding z-score of each problem. 1. P99  2. P32Given μ=62 and =8, find the z-score up to two decimal place that corresponds to each of the following raw scores. 1. X=82 2. X=42 TABLE 1Normal Curve AreasThe entries in the body of the table correspond tothe area shaded under the normal curve.0.000.010.020.030.040.050.060.070.080.090.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.03590.1 0.03980.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.11410.04380.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.07530.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.15170.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.18790.5 0.1915 0.19500.1985 0.2019 0.2054 0.2088 0.2123 0.21570.2190 0.22240.6 0.2257 0.22910.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.25490.7 0.25800.2611 0.2642 0.2673 0.2703 0.27340.2764 0.27940.28230.28520.8 0.28810.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.31330.9 0.3159 0.3186 0.3212 0.32380.3264 0.3289 0.3315 0.3340 0.3365 0.33891.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.35310.3554 0.3577 0.3599 0.36211.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.37900.3810 0.38301.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.39440.3962 0.3980 0.3997 0.40151.3 0.4032 0.40490.4066 0.4082 0.4099 0.4115 0.4131 0.41470.4162 0.41771.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.43191.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.44411.6 0.44520.4463 0.44740.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.45451.7 0.4554 0.45640.4573 0.45820.4591 0.45990.4608 0.4616 0.4625 0.46331.8 0.46410.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.47061.9 0.4713 0.47190.47260.47320.47380.47440.4750 0.47560.4761 0.47672.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.48172.1 0.48210.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.48572.2 0.48610.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.48902.3 0.48930.48960.48980.49010.4904 0.49060.49090.49110.4913 0.49162.4 0.4918 0.4920 0.4922 0.49250.4927 0.4929 0.4931 0.4932 0.4934 0.49362.5 0.4938 0.49400.49410.49430.4945 0.49460.49480.4949 0.4951 0.49522.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.49642.7 0.49650.4966 0.4967 0.49680.49690.4970 0.4971 0.4972 0.4973 0.49742.8 0.49740.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.49812.9 0.49813.0 0.49870.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.49860.49870.49870.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.49903.1 0.4990 0.49910.49910.49910.4992 0.49920.4992 0.4992 0.4993 0.49933.2 0.4993 0.4993 0.49940.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.49953.3 0.4995 0.4995 0.49950.49960.4996 0.4996 0.4996 0.49960.4996 0.49973.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.49983.5 0.4998 0.49980.4998 0.49980.4998 0.4998 0.4998 0.49980.4998 0.49983.6 0.49980.4998 0.4999 0.4999 0.4999 0.49990.4999 0.49990.4999 0.49993.7 0.4999 0.49990.4999 0.49990.4999 0.4999 0.4999 0.49990.4999 0.49993.8 0.4999 0.49990.4999 0.49990.4999 0.4999 0.4999 0.49990.4999 0.49993.9 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000

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