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Answer :
Answer:
(C) 24 oz to 28 oz
Step-by-step explanation:
Since here it is given that "the distribution of weights of cartons of large eggs is approximately normal with mean 26 ounces (oz)".
It means that the mean weight of the cartoon is approximately 26.
It is only possible in interval 24 oz to 28 oz. And rest are either smaller than 26 or greater than 26. Hence, only option (C) is correct.
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Rewritten by : Barada
option (C) 24 oz to 28 oz.In a normal distribution, the interval that includes the mean and balances around it will have the most data points. Thus, the interval from 24 oz to 28 oz includes the greatest proportion of egg cartons.
The question deals with a normal distribution of weights for cartons of large eggs with a mean of 26 ounces. To determine which interval contains the greatest proportion of cartons, we need to understand the properties of the normal distribution, which is symmetric around the mean.
The intervals provided can be analyzed relative to the mean:
- 20 oz to 24 oz - This interval lies mostly to the left of the mean.
- 22 oz to 26 oz - This interval is evenly spread from the mean to the left side.
- 24 oz to 28 oz - This interval is centered around the mean, covering both sides.
- 26 oz to 30 oz - This interval starts at the mean and extends to the right.
- 28 oz to 32 oz - This interval lies mostly to the right of the mean.
In a normal distribution, the interval that covers the mean and the symmetrical regions around it will contain the greatest proportion of data points. Therefore, the correct answer is (C) 24 oz to 28 oz.
