Quiz Quiz 5- Chapters 9 and 1 X OQ10%) https/kirtland.instructure.com/courses/23

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Quiz Quiz 5- Chapters 9 and 1 X OQ10%) https/kirtland.instructure.com/courses/235 1325/quizzes/4873637/t DQuestion 3 0.5 pts The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A sample random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of 2.5 insect fragments per ten-gram portion. Why is the sampling distribution of approximately normal? O The sampling distribution is approximately normal because the sample size is large enough. O The sampling distribution is approximately normal because the population is normally distributed The sampling distribution is assumed to be approximately normal. O The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. uestion 4

Explanation / Answer

Correect option:

The sampling distribution is approximately normal because the sample size is large enough.

EXPLANATION.

Here,

Sample size = n = 40 > 30, Large sample.

By Central Limit Theorem, for large sample, the sampling distribution of sample mean is Normal Distribution even if the population distribution is not Normal Distribution.

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