4. The annual per capita consumption of sugar by people in the US is a right skewed distributed with a mean of 152 pounds a standard deviation of 18.2 pounds. Random samples of size 60 are drawn from this population, and the mean of each sample is determined. a. Using Central Limit Theorem, what would the mean, standard deviation, and shape of the sampling distribution be?
b. Now assume that random samples of size 120 are drawn instead. What would the mean, standard deviation and shape of the sampling distribution be? Which measures changed and how would they change?

Step-by-step explanation:

a. According to the Central Limit Theorem, sufficiently large random samples from a population are approximately normally distributed, even if the population itself isn't normally distributed.

By "sufficiently large", we usually mean at least 30.

The sample mean is μ = 152.

The sample standard deviation is σ = 18.2 / √60 ≈ 2.35.

b. The mean and shape are the same.  The standard deviation decreases to:

σ = 18.2 / √120 ≈ 1.66.

the correct answer is semicircle

step-by-step explanation:

the answer is semicircle because the shorter arc joining two points on the circumference of a circle is known as the minor arc, the larger arc is called the major arc, and a semicircle is a half circle, formed by cutting a whole circle along a diameter line.

hope i .