Question

< Back to Assignment Attempts: Do No Harm: /5 Attention: Due to a bug in Google Chrome, this page may not function correctly. Click here to learn more. 1. Identifying binomial data Aa Aa E A researcher interested in the transition from middle school to high school surveys a random sample of 100 eighth-grade students. Which of the following statistics are computed using binomial data? The average weight of the students in the sample O The proportion who know more than one language The instruments played by students in the sample O The total number of siblings among students in the sample Suppose that the researcher wants to conduct a hypothesis test about the proportion of his sample who live with a grandparent. For the researcher to appropriately use the normal approximation to the binomial distribution, the proportion of students in the population of eighth-grade students who live with a grandparent must be at least and not greater than Suppose that the actual proportion of students in the population of eighth-grade students who live with a grandparent is 0.15. Then the number of students in a sample of 100 eighth-grade students who live with a grandparent is approximately normal, with mean and standard deviation Flash Player WIN 32,0,0,270

Answer 1

1. Ans: The proportion who know more than one language Explanation : Note that for avg. wt of sample , we must use sample mean. Also, for no.of instruments played by students, binomial is not appropriate since binomial distribution counts no.of successes among n trials. Same way, total no. of siblings is not suitable for binomial.

2. For normal approximation, we must satisfy np > 5; and n(1-p) > 5; so for n = 100, this gives, p > .05; and p < 0.95; so answer is atleast 0.05 and not greater than 0.95. 3. Let X : no.of students who live with grandparents. X ~ Normal(u = np, o = V np(1-p)) u= 100 * 0.15 = 15; and 0 = 3.5707