In: Statistics and Probability
A simple random sample of size n = 15 is obtained from a population with μ = 97 and σ = 23. Enter your answer as an area under the curve with 4 decimal places. P(x⎯⎯⎯ ≤ 94)
Solution :
Given that,
mean = = 97
standard deviation = = 23
n = 15
= 97
= / n = 23 / 15=5.94
P( <94 ) = P[( - ) / < (94-97) / 5.94]
= P(z <-0.51 )
Using z table
= 0.3050
probability= 0.3050