I'm new here and was hoping you guys could help me with a statistics problem that I don't quite unde

Spencer Lutz

Spencer Lutz

Answered question

2022-05-13

I'm new here and was hoping you guys could help me with a statistics problem that I don't quite understand. I'm not sure if it's proper etiquette to ask for help on a specific homework problem here, so I apologize if this question is out of line.

Here is the problem:
Suppose a variable of a population has mean 5 and standard deviation 11. For samples of size 121, find c so that P ( X > 2 c ) = 0.3300.

Answer & Explanation

Kharroubip9ej0

Kharroubip9ej0

Beginner2022-05-14Added 10 answers

P(x>2c) = P(z>(2c-5)/(11/11)) = P(z>(2c-5)) = 1-P(z<(2c-5)).
Using the inverse normal function, we find that Z(.44) = .6700 which implies that Z(-.44) = .33.
Thus we can set 2c-5 = -.44 then 2c = 4.56 and thus, c = 2.28.

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