44. In a normal distribution with u = 300 and σ = 40 find the data value equal to: a) P85. b) P35- c) P70-
44. In a normal distribution with u = 300 and σ = 40 find the data value equal to: a) P85. b) P35- c) P70-
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Problem 44:** In a normal distribution with \( \mu = 300 \) and \( \sigma = 40 \), find the data value equal to:
a) \( P_{85} \)
b) \( P_{35} \)
c) \( P_{70} \)
d) The first decile.
e) The third quartile.
f) The sixth decile.
**Explanation:**
This problem involves finding specific percentile values in a normal distribution characterized by a mean (\( \mu \)) of 300 and a standard deviation (\( \sigma \)) of 40. You are asked to calculate the data values corresponding to certain percentiles (e.g., 85th, 35th, 70th) and deciles/quartiles such as the first decile, the third quartile, and the sixth decile.
To find these values, you would typically use the Z-score formula and standard normal distribution tables or software to determine the corresponding data points.
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