Provide an appropriate response.
-The amount of corn chips dispensed into a 12 -ounce bag by the dispensing machine has been identified at possessing a normal distribution with a mean of $12.5$ ounces and a standard deviation of $0.1$ ounce. Suppose 400 bags of chips were randomly selected from this dispensing machine. Find the probability that the sample mean weight of these 400 bags exceeded $12.6$ ounces.
A) approximately 0
B) $0.1915$
C) $0.3085$
D) $0.6915$

Question

Quizplus · Accepted Answer

Given the large sample size (400 bags) and the small standard deviation (0.1 ounce), the probability of the sample mean exceeding 12.6 ounces is extremely low, given the distribution's mean is 12.5 ounces. This is because the standard error of the mean decreases as the sample size increases, making the distribution of sample means tighter around the population mean.

Provide an Appropriate Response 12.512.512.5 Ounces and a Standard Deviation Of 0.10.10.1

Provide an Appropriate Response $12.5$ Ounces and a Standard Deviation Of $0.1$