Question

Cameron is the quality inspector for the mason pot company, an artesian cooperative crafting bowls. in the smaller series, the mean diameter is 4 inches with a standard deviation of 0.2 inch. first, find the expected value. then answer: what is the standard error of the sample mean derived from a random sample of 12 bowls? multiple choice

O 0.058
O 0.58
O 0.001
O 0.12

Answer 1

The expected value is 4 inches and the standard error of the sample mean is approximately 0.058 inch.

Therefore, the correct answer is: option ' 0.058'.

Step-by-step explanation:

To find the expected value, we use the mean diameter provided, which is 4 inches.

The expected value is equal to the mean, so the expected value in this case is 4 inches.

To find the standard error of the sample mean, we can use the formula:

standard error = standard deviation / square root of sample size.

In this case, the standard deviation is 0.2 inch and the sample size is 12 bowls.

Therefore, the standard error of the sample mean is 0.2 inch / square root of 12, which is approximately 0.058 inch.