QUESTION 7
What proportion of the data from a normal distribution is within two standard deviations from the mean?
A. 0.4772 B. 0.9544 C. 0.3413 D. 0.6826
QUESTION 8
The total area under the curve f(x) of any continuous random variable x is equal to one.
True
False
QUESTION 9
Determine the value of zo which satisfies P(z > z0) = 0.7995.
What proportion of the data from a normal distribution is within two standard deviations from the mean?
0.In a normal distribution, plus and minus 2 standard deviations from the mean will include about what percent of the observations? A) 50% B) 99.7% C) 95% D)68% 21. What is the area under the normal curve between z -0.0 and z-2.0 A) 1.0000 B) 0.7408 C) 0.1359 D) 0.4770 22. Which of the following is NOT a characteristic of the normal probability distribution? A) Positively-skewed B) Bell-shaped C) Symmetrical D) Mean Mode and median are all equal 23. A...
In the normal distribution about 95% of the area lies within the three standard deviations from the mean. TRUE OR FALSE
Use the Normal Table. Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to the question. z < −0.42 z > −1.58 z < 2.12 −0.42 < z < 2.12
Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to the question. 6. What proportion of observations satisfy z < 2.85? Answer to 4 decimal places. Answer 7. What proportion of observations satisfy z > 2.85? Answer to 4 decimal places. Answer 8. What proportion of observations satisfy -1.66...
Use the Normal Table. Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to the question. a) z < −0.32 b) z > −1.56 c) z < 2.04 d) − 0.32 < z < 2.04
1. a) About ____ % of the area under the curve of the standard normal distribution is between z=−0.409z=-0.409 and z=0.409z=0.409 (or within 0.409 standard deviations of the mean). b) About ____ % of the area under the curve of the standard normal distribution is outside the interval z=[−0.78,0.78]z=[-0.78,0.78] (or beyond 0.78 standard deviations of the mean). c) About ____ % of the area under the curve of the standard normal distribution is outside the interval z=−0.86z=-0.86 and z=0.86z=0.86 (or...
Find the area under the standard normal curve within 1.98 standard deviations from the mean. Round to four decimal places.
For a standard normal distribution, find the percentage of data that are within 1.5 standard deviations from the mean. Group of answer choices Question 1 0.11 pts For a standard normal distribution, find the percentage of data that are within 1.5 standard deviations from the mean. 43.32% 86.64% 93.32% 6.68%
6. Area under the normal distribution The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations (+30). Also, because the normal distribution is symmetrical,...
Suppose X is a normal random Variable with mean p = 46 and standard deviations 11 (a) Compute the z-value corresponding to X = 30 (1) Suppose the area under the standard normal curve to the left of the value found in part(a) is 0.0729. What is the area under the normal curve to the left of X (c) What is the area under the normal curve to the right of X=30? 307 (Round to two decimal places as needed)