Question

In: Statistics and Probability

A simple random sample of size n = 15 is obtained from a population with μ...

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)

Expert Solution

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

orchestra answered 3 years ago

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