Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Can someone explain this answer more easily with your own words? e. Is the sampl

ID: 3333836 • Letter: C

Question

Can someone explain this answer more easily with your own words?

e. Is the sample size of 50 large enough to use the Central Limit Theorem? Explain why. Yes. For a Binomial distribution's sample means to approximate a Normal distribution, the sample size should satisfy the following (rule of thumb). np greater than or equal to 10 AND n(1-p) greater than or equal to 10. n = 50, p=0.349, np > 10 and n*(1-p) > 10. Therefore, sample sizes of 50 are adequate to use the Central Limit Theorem to approximate the sampling distribution

Explanation / Answer

Central Limit theorem states that if the sample size n and probability p have the product n*p which is greater than 10 . Also, if n*(1-p) is greater than 10, then we can easily say that the binomial distribution is a normal distribution