The original population is extremely large and has u=35 and o=8. A simple random sample of...

The original population is extremely large and has u=35 and o=8. A simple random sample of size n=49 is to be drawn.Let x be the mean of the sample. Find P(33<x<34)

Hint : u is population mean and o is standard deviation

Solutions

Expert Solution

Solution :

Given that,

mean = = 35

standard deviation = = 8

n = 49

= 35

₌ / $\sqrt$ n = 8 $\sqrt$ 49 = 1.1428

P (33 < < 34 )

P ( 33 - 35 / 1.1428) < ( - / ) < ( 34 - 35 / 1.1428 )

P ( - 2 / 1.1428 < z < - 1 / 1.1428 )

P (-1.75 < z < - 0.87)

P ( z < - 0.87 ) - P ( z < -1.75)

Using z table

= 0.1922 - 0.0401

= 0.1521

Probability = 0.1521

orchestra answered 1 year ago

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