Which of the following is true concerning the standard normal distribution?
Question 46 options:
95% of the area under the curve is within ±1 standard deviations of the mean. |
|
The mean µ= 0 and the standard deviation σ = 1. |
|
All of the these. |
|
Its shape is uniform. |
Answer:
The mean µ= 0 and the standard deviation σ = 1.
Explanation:
We know that for the standard normal distribution, about 95% of the area under the curve is within ±2 standard deviations of the mean. The mean µ= 0 and the standard deviation σ = 1. Its shape is symmetric bell-shaped.
Which of the following is true concerning the standard normal distribution? Question 46 options: 95% of...
(10) 12. Which of the following characteristics are true for a normal probability distribution? (CIRCLE ALL THAT ARE TRUE) A) The area under the curve is 1. B) It is symmetrical. C) The midpoint is also the mean. D) The total sample space for the normal distribution is all positive integers E) 95% of the area under the Normal PDF curve is within One Standard Deviation from the Mean.
QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution OB. The smaller the degrees of freedom the flatter the curve. OC. The t-distribution has a larger standard deviation than the Standard Normal Curve. OD. T-distributions have a mean of 0. o E. The total area under the density curve depends on the degrees of freedom. QUESTION 6 The t-procedures are robust when A. sample size is 12 and the sample data is not...
Given a standard normal distribution (SND) with µ = 70 and a σ = 10, what is the area under the curve above X1 = 70? Given a standard normal distribution (SND) with µ = 70 and a σ = 10, what is the area under the curve above Z1 = 0?
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...
Which of the following statements is not a property of the normal probability distribution?A. The normal distribution is symmetricB. Exactly two-thirds of all possible observed values of the random variable x are within plus or minus one standard deviations of the population meanC. The mean, median and mode are equalD. The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the meanE. All of the...
In the normal distribution about 95% of the area lies within the three standard deviations from the mean. TRUE OR FALSE
14. TRUE or FALSE? If X is any normal distribution, then about 95% of all observations from X will fall within two standard deviations of the mean. 15. TRUE or FALSE? The normal quantile value 0-1(0.025) = -1.96. 16. TRUE or FALSE? If X ~ Nor(u, o?), then Pr(-1 < X-< 1) = 0.6826.
About b6 of the area under the curve of the standard normal distribution is between 0.174 and z = 0.174 (or within 0.174 standard deviations of the mean). z = > Next Question arch
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,...
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...