Question

sampe O JU MIVIS ano record the percentage or orange in each sampre. Wnin sequence is the most plausible for the percentage of orange candies obtained in these 5 samples? 15%, 25%, 22%, 20%, 28% (Click to view hint) Probabilities: Proportion Sampling Distributions If a sampling distribution is normally shaped, we can apply the Empirical Rule and use Z-scores to determine probabilities. Let's look at some examples. Example A random sample of 100 students is taken from the population of all part-time students in the U.S., for which the overall population of females is 0.6. Start by determining what is given in the original statement. 100 = 0.6 = 0 • X Test to see if we can use the normal distribution. np 100 x and ng = 0.6 X Can we use the normal approximation? Yes, np and ng are both greater than 10 • Since the population proportion is p = 0.6, we know the mean of the sampling proportions is My = 78 (Hint: ; = p.) What is the stang ation? 0 * (Round to the nearest thousandth.) Hint: 0; = 688 MacBook Air BO F3 DDD FT F4 A $ 4 % 5 & 7 2 3 6 8 9

Answer 1

of solution random sample 100 students is taken from the population of part time students in for which population of females Us the overall es 0.6 100 n 0.6 - b np = 100 x 0.6 60 ng 100 x(1-0.6) - 120 X 0.4 40 the normal approximation can use are Yes because than 10. both and ng пр greater since p = 0.6 , we distribution is know the mean mean of the A6 = P = -0.6 sampling and pq n 0.6 (1-0.6) 100 = 0.6 Xo.4 100 = 0.048 99 = 0.049