I'm rather confused with which application should I use to solve this question:
A food product has a weight of 227g. In reality the product containers don't have exactly similar weights. The weight of the product has a normal distribution with a mean of 232g and a standard deviation of 4g. What is the probability that an average of 4 packages is less than 227g?
So i found the probability of 1 package that is underweight though the standard score formula (z= x-mean/ standard deviation) and got 10.56% (I'm not 100% confident about that answer)
To get the probability of the 4 packages that are underweight... would I use the multiplication rule (probability) or use this formula: z = x̄-µ / (σ/ √n)
Thank you in advance!! <3
A food product has a weight of 227g. In reality the product containers don't have exactly similar weights. The weight of the product has a normal distribution with a mean of 232g and a standard deviation of 4g. What is the probability that an average of 4 packages is less than 227g?
So i found the probability of 1 package that is underweight though the standard score formula (z= x-mean/ standard deviation) and got 10.56% (I'm not 100% confident about that answer)
To get the probability of the 4 packages that are underweight... would I use the multiplication rule (probability) or use this formula: z = x̄-µ / (σ/ √n)
Thank you in advance!! <3
-
Note that you are *not* asked for the probability that all 4 packages weigh less than 227g each; rather, you are asked for the probability that the *average* weight of 4 packages is less than 227g.
The multiplication rule for probabilities is used for "and" problems, but
z = (x̄-µ) / (σ/ √n) is used for probabilities involving the sample average (mean).
So use z = (x̄-µ) / (σ/ √n), not the multiplication rule.
Lord bless you today!
The multiplication rule for probabilities is used for "and" problems, but
z = (x̄-µ) / (σ/ √n) is used for probabilities involving the sample average (mean).
So use z = (x̄-µ) / (σ/ √n), not the multiplication rule.
Lord bless you today!
-
Ghhsdgh