(Solved): i just need help with part C!! Thank you (a) (5 points) What is the central limit theorem? Explain h ...

(a) (5 points) What is the central limit theorem? Explain how it relates to the assumption of normally distributed sample means. (b) (5 points) What is the formula for standard error of sample means? How does this formula relate to the law of large numbers? (c) (5 points) If you collect a sample with \( n=16 \) observations from a population that is right-skewed with mean \( =100 \) and s.d. \( =24 \), what is the probability of the sample mean you collected falling below 94 ? What would the probability of finding a sample mean below 94 be if you collected a sample of size \( n=64 ? \) \( 12 \mathrm{pt} \sim \) B I \( \lcm{A} \cup \stackrel{Q}{U} \mathrm{~T}^{2} \cup \) ?? The central limit theorem states that if you have a population with mean \( \mu \) and standard deviation \( \sigma \) and take sufficiently large random samples from the population with replacement,