Statistics

The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 15 days. In what range would you expect to find the middle 68% of most pregnancies? Between l:] days and [:] days. If you were to draw samples of size 45 from this popu lation. in what range would you expect to find the middle 689i: of most averages for the lengths of pregnancies In the sample? Between C] days and :l days. 7 A particular fruit's weights are normally distributed, with a mean of 604 grams and a standard '3 l1 deviation of 5 grams. if you pick 2 fruits at random. then 4% of the time. their mean weight will be greater than how many grams? A population of values has a normal distribution with p = 119.9 and a = 68.1. You intend to draw a random sample of size n = 16. Find the probability that a single randomly selected value is greater than 104.6. PIX 3- 104.6} = Find the probabilityr that a sample of size n = 16 is randomly selected with a mean greater than 1 04.6. m.m=:] Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact :-scores or z-scores rounded to 3 decimal places are accepted. A manufacturer knows that their items have a lengths that are skewed right. with a mean of 16.2 Inches. and standard deviation of 0.7 Inches. If 42 items are chosen at random. what is the probability that their mean length is greater than 16.4 inches? A papulation has parametem p : 258.3 and a : 59.4 You intend to draw a random sample of sizes: = 156. What is the mean of the distribution of sample means? .. = :1 What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)