Question

Jiffy Mix in Chelsea, Michigan has a machine that fills the Jiffy Corn Muffin Mix boxes with Mix. It dispenses corn muffin mix with a normal distribution and has a mean of 10.0 and a standard deviation of 0.1 ounces

Answer 1

Question:

A. The middle 95% of Jiffy Corn Muffin Mix boxes contain between _____ and ________ounces of cereal

Answer:

Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal

Step-by-step explanation:

The question requires us to construct the 95% confidence interval of the normal distribution as follows;

The mean, μ = 10

The sample standard deviation, σ = 0.1

Assumption

Number of boxes, n = 1000

The formula for confidence interval is as follows;

$CI= \mu \pm z\frac{\sigma}{\sqrt{n}}$

Where, z at 95% confidence level is given as ±1.96

Plugging in the values, we have;

$CI=10 \pm 1.96 \times \frac{0.1}{\sqrt{1000}}$

Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal.