In the normal distribution about 95% of the area lies within the three standard deviations from the mean.
TRUE OR FALSE
False
According to Empirical rule for normal distribution ,
1) 68% of data falls within the first standard deviation from the mean.
2) 95% fall within two standard deviations from the mean .
3) 99.7% fall within three standard deviations from the mean.
In the normal distribution about 95% of the area lies within the three standard deviations from...
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...
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.
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.
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%
24. About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution? (Enter an exact number as an integer, fraction, or decimal.) _______ % 25. About what percent of x values lie between the mean and one standard deviation (one sided)? (Enter an exact number as an integer, fraction, or decimal.) _______ % 26. About what percent of x values lie between the first and third standard deviations (both sides)?...
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...
data valu es in a 7. The 68-95-99.7 rule for normal distributions states that 95% of the mally distributed data set will be within 2 standard deviations of the mear Generate numbers with a distribution that has fewer than 95% of the data values within 2 standard deviations of the mean. Can you generate a set that has many fewer than 95% of the data values within 2 standard deviations of the mean? How small can you make that percentage?...
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.
Find the area under the standard normal curve within 1.98 standard deviations from the mean. Round to four decimal places.
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