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Population has a normal distribution. Im having trouble applying the central limit Theorem. Recall the key concept from section 6.4 about the Central Limit Theorem:

Population has a normal distribution. Im having trouble applying the central limit Theorem.

image text in transcribed Recall the key concept from section 6.4 about the Central Limit Theorem: Given: 1. Population (with any distribution) has mean u and standard deviation 0. 2. Simple random samples all of size n are selected from the population. Requirements: Population has a normal distribution orn > 30: For the following questions, please verify the conditions to apply the Central Limit Theorem: 1) The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with mean 264 clays and standard deviation 16 days. Consider 15 pregnant women from a rural area. Assume they are equivalent to a random sample from all women. 2) In a study done on the life expectancy of 500 people in a certain geographic region, the mean age at death was 72 years and the standard deviation was 5.3 years. Consider a sample of 50 people from this region. 3) The weights of the eggs produced by a certain breed of hen are normally distributed with mean 65 grams and standard deviation of 5 grams. Consider a carton of 12 eggs to be a simple random sample (SRS) of hen's eggs

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