Which three comparisons are correct?
1 answer:
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Answer:
a) A response of 8.9 represents the 92nd percentile.
b) A response of 6.6 represents the 62nd percentile.
c) A response of 4.4 represents the first quartile.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 5.9
Standard Deviation, σ = 2.2
We assume that the distribution of response is a bell shaped distribution that is a normal distribution.
Formula:
a) We have to find the value of x such that the probability is 0.92
P(X < x)
Calculation the value from standard normal z table, we have,
A response of 8.9 represents the 92nd percentile.
b) We have to find the value of x such that the probability is 0.62
P(X < x)
Calculation the value from standard normal z table, we have,
A response of 6.6 represents the 62nd percentile.
c) We have to find the value of x such that the probability is 0.25
P(X < x)
Calculation the value from standard normal z table, we have,
A response of 4.4 represents the first quartile.