Extreme Positive z -Scores For each question, find the area to the right of the given z -score in a standard Normal distribution . In this question, round your answers to the nearest 0.000. Include an appropriately labeled sketch of the N 0 , 1 curve. a. z = 4.00 b. z = 10.00 (Hint: Should this tail proportion be larger or smaller than the answer to part a? Draw a picture and think about it.) c. z = 50.00 d. If you had the exact probability for these tail proportions, which would be the largest and which would be the smallest? e. Which is equal to the area in part b: the area below (to the left of) z = − 10.00 or the area above (to the right of) z = − 10.00 ?
Extreme Positive z -Scores For each question, find the area to the right of the given z -score in a standard Normal distribution . In this question, round your answers to the nearest 0.000. Include an appropriately labeled sketch of the N 0 , 1 curve. a. z = 4.00 b. z = 10.00 (Hint: Should this tail proportion be larger or smaller than the answer to part a? Draw a picture and think about it.) c. z = 50.00 d. If you had the exact probability for these tail proportions, which would be the largest and which would be the smallest? e. Which is equal to the area in part b: the area below (to the left of) z = − 10.00 or the area above (to the right of) z = − 10.00 ?
Solution Summary: The author determines the area to the right of the z-score of 4 in a standard normal distribution.
Extreme Positive
z
-Scores For each question, find the area to the right of the given
z
-score in a standard Normal distribution. In this question, round your answers to the nearest 0.000. Include an appropriately labeled sketch of the
N
0
,
1
curve.
a.
z
=
4.00
b.
z
=
10.00
(Hint: Should this tail proportion be larger or smaller than the answer to part a? Draw a picture and think about it.)
c.
z
=
50.00
d. If you had the exactprobability for these tail proportions, which would be the largest and which would be the smallest?
e. Which is equal to the area in part b: the area below (to the left of)
z
=
−
10.00
or the area above (to the right of)
z
=
−
10.00
?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
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