Thinking about the areas of a Standard Normal Distribution, if a z value is negative, is the area to the left of z less than 0.5
000, greater than 0.5000 or equal to 0.5000?
1 answer:
A typical plot of the standard normal distribution is shown in the figure below.
The curve is symmetric about z = 0, and the total area under the curve is 1.
It follows that if the value of z is negative, the area to the left of z will be less than 0.5.
Answer: The area to the left of z is less than 0.5000
The curve is symmetric about z = 0, and the total area under the curve is 1.
It follows that if the value of z is negative, the area to the left of z will be less than 0.5.
Answer: The area to the left of z is less than 0.5000
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Answer:
78.81%
Step-by-step explanation:
We are given;
Population mean; μ = 149
Sample mean; x¯ = 147.8
Sample size; n = 88
standard deviation; σ = 14
Z-score is;
z = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
z = (147.8 - 149)/(14/√88)
z = -0.804
From z-distribution table attached, we have; p = 0.21186
P(X > 147.8) = 1 - 0.21186 = 0.78814
In percentage gives; p = 78.81%
