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Fill in the given values and simplify.
Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.
Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.
<u>Answer:</u>
A line passes through the two given points (5,2), (5,-2). The line is vertical line
<u>Solution:</u>
Given, two points are (5, 2) and (5, -2)
We have to find that a line that passes through the given two points is vertical or horizontal or neither.
First let us find the slope of the line that passes through given two points.
So, slope of line m
So slope of our line = undefined
Here slope of our line is undefined which means it is parallel to the y – axis.
Hence, line passing through given points is vertical line