The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting 25 data values with a mean less than 190?

A. 69%
B. 31%
C. 0.6%
D. 99%

Respuesta :

The probability of selecting 25 data values with a mean less than 190 is 0.6%.

What is probability?

This topic is concerning on numerical descriptions of how likely an event is to occur.

Given data

Population mean = 20

Standard deviation = 20

Sample size= 25

Sample mean= 190

z = 190-200/20/5

Square root of 25 -10/4 = 2.

Corresponding term is 0.4938 P(X<190) = 0.500-0.4938

P(X<190) = 0.0062 or 0.62

P(X<190) = 0.6%

Therefore, the Option C is correct.

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