Question

final answers using a complete sentence. All probabilities should be represented as appropriately labelled and shaded graphs. 1. Suppose babies born in a large hospital have a mean weight of 3548 grams and a standard deviation of 313. If 62 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be greater than 3495 grams? 2. In a survey of 700 community college students, 481 indicated that they have read a book for personal enjoyment during the school year (based on data from the Community College Survey of Student Engagement) a. Obtain a point estimate for the proportion of community college students that have read a book for personal enjoyment during the school year. b. Determine and interpret a 90% confidence interval for the proportion of community college students who have read a book for personal enjoyment during the school year.

Answer 1

Solution Given that. mean = l = 3548 standard deviation - 5 = 313 62 Find probability that the mean weight the sample babies would be greather 3495 grams je to find PC Ž 7 3495) of than PLX 3495) = pl 2-4 7 3495-3548 313/862 - P( 2 7 -1.333) 0.908734 PCF> 3495) = -(observed in a table ) Given that i A we find we find probablity of shaded it is 0.908734 region 2=3548 X=3495 - 27 ay Given that, n = 700 ona 481 find point estimate of the proportion of community college students that have read a book for personal enjoyment during the school year

- 481 700 6 . 0.6 87043 b) go y confidence interval for the proportion is ( ô t za 12 på where P = 0.687143 x= 10%. - ZO. â = 0.312857 2012 = critical value for a - Zombie - Zoos 2012 = 1.64 -- Observed in 2-table) 10.687143 71.64 0.687143 X0.312857 700 (0.687143 + 0.02874) (0.658403 ,0.718883) Interpitation population 0.715883. goy proportion confident that lies between the true 10.658403 to