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05.05.2020 •
Mathematics
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
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Ответ:
Question:
A. The middle 95% of Jiffy Corn Muffin Mix boxes contain between _____ and ________ounces of cereal
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;
Where, z at 95% confidence level is given as ±1.96
Plugging in the values, we have;
Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal.
Ответ: