Question

What is the probability that for a sample of ten bottles, the sample mean will be between 504 grams and 506 grams?

a) Depends on the standard deviation
b) 0.025
c) 0.975
d) 0.95

Answer 1

To find the probability that the sample mean will be between 504 grams and 506 grams, we need to calculate the z-scores for these values and use the standard normal distribution table.

Step-by-step explanation:

To find the probability that the sample mean will be between 504 grams and 506 grams, we need to calculate the z-scores for these values and use the standard normal distribution table. The formula to calculate the z-score is:

z = (x - mu) / (sigma / sqrt(n))

where z is the z-score, x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Once we have the z-scores, we can use them to find the probability using the standard normal distribution table.