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Emiliana runs a restaurant that receives a shipment of 505050 tangerines every day. According to the supplier, approximately 12\, percent of the population of these tangerines is overripe. Suppose that Emiliana calculates the daily proportion of overripe tangerines in her sample of 505050. We can assume the supplier's claim is true, and that the tangerines each day represent a random sample. What will be the shape of the sampling distribution of the daily proportions of overripe tangerines

2 Answers

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Final answer:

The shape of the sampling distribution of the daily proportions of overripe tangerines will be approximately normal.

Step-by-step explanation:

The shape of the sampling distribution of the daily proportions of overripe tangerines will be approximately normal. This is because, according to the Central Limit Theorem, when a random sample is taken from a population that follows any distribution with a finite variance, the sample mean will follow an approximately normal distribution. In this case, as Emiliana calculates the daily proportion of overripe tangerines in her sample, she is essentially calculating the sample mean of the proportion of overripe tangerines. Therefore, the shape of the sampling distribution will be approximately normal.

User Samir Adel
by
4.5k points
1 vote

Answer:

skewed to the right

Step-by-step explanation:

User Opetroch
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4.9k points