SOLUTION: 2. Given a normal distribution with 𝜇 = 50 and 𝜎 = 5, if you select a sample of 100 a. What is the probability that 𝑥̅ is, I. Less than 47 II. Between 47 and 49.5 III

Question 1197512: 2. Given a normal distribution with 𝜇 = 50 and 𝜎 = 5, if you select a sample of 100
a. What is the probability that 𝑥̅ is,
I. Less than 47
II. Between 47 and 49.5
III. Above 51.5
b. There is a 35% of chance that 𝑥̅ above what value ?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Hi  
normal distribution:  𝜇 = 50 and 𝜎 = 5
Select Sample:  n = 100
sd = 5/√100  = .5
What is the probability that 𝑥̅ is:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
I. Less than 47  = .0000000001
II. Between 47 and 49.5 = .1587
III. Above 51.5 = .0013
b. There is a 35% of chance that 𝑥̅ above what value: 50.19

Wish You the Best in your Studies.

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