Question

3. The packaging process in a breakfast cereal company has been adjusted so that an average of μ=13.0 oz of cereal is placed in each package. The standard deviation of the actual net weight is σ=0.1oz and the distribution of weights is known to follow the normal probability distribution. c. Suppose 25 cereal boxes are chosen at random, what is the standard deviation of all possible sample means (standard emot)? (round to 2 decimal digits, e. g. 0.11)

Answer 1

In this case, the standard deviation of all possible sample means is 0.02 oz.

Step-by-step explanation:

The standard deviation of all possible sample means, also known as the standard error of the mean, can be calculated using the formula:

standard error = standard deviation / square root of sample size

In this case, the standard deviation of the actual net weight of cereal is 0.1 oz and the sample size is 25. Plugging in these values into the formula:

standard error = 0.1 / sqrt(25) = 0.1 / 5 = 0.02

Therefore, the standard deviation of all possible sample means is 0.02 oz.