A normal distribution has a mean of μ = 58 and a standard deviation of σ = 12. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 -3-2-10123z.5000.50000.0000 What is the probability of randomly selecting a score less than X = 52? P(X < 52) = What is the probability of selecting a random sample of n = 9 scores with a mean less than M = 52? P(M < 52) = What is the probability of selecting a random sample of n = 16 scores with a mean less than M = 52? P(M < 52) =

A normal distribution has a mean of μ = 58 and a standard deviation of σ = 12. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 -3-2-10123z.5000.50000.0000 What is the probability of randomly selecting a score less than X = 52? P(X < 52) = What is the probability of selecting a random sample of n = 9 scores with a mean less than M = 52? P(M < 52) = What is the probability of selecting a random sample of n = 16 scores with a mean less than M = 52? P(M < 52) =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 7E

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Question

100%

A normal distribution has a mean of μ = 58 and a standard deviation of σ = 12.

Standard Normal Distribution

Mean = 0.0

Standard Deviation = 1.0

-3-2-10123z.5000.50000.0000

What is the probability of randomly selecting a score less than X = 52?

P(X < 52) =

What is the probability of selecting a random sample of n = 9 scores with a mean less than M = 52?

P(M < 52) =

What is the probability of selecting a random sample of n = 16 scores with a mean less than M = 52?

P(M < 52) =

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.

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