5.1 PROBLEMS 287 algebra according to a new method. Find a 90% confidence interval for the difference in achievement scores expected from the two methods. Method Students' Achievement Scores Present 68 72 79 69 New 84 80 64 78 72 70 60 68 Diet A was given to four overweight girls and diet B was given to five other overweight girls, with the following observed weight losses. Find a 90% confidence interval for mean 73 4. difference in effectiveness of the two diets. Diet Weight Losses (pounds) JAR V I.2 А CEABIVCIMD 7, 2, -1, 4 6, 5, 2, 8, 3 В 5. Eight volunteers for an experimernt are divided randomly into two groups, to see if a telescopic sight improves the ability to hit a target under twilight conditions. Group A is given rifles with telescopic sights, while group B has the same kind of rifle but with open sights. After a learning period they are given a shooting test at twilight. These are their scores (100 is perfect). Group A: Group B 96 93 88 85 89 83 80 77 What do you conclude? 6Ten tents using plain camouflage and 10 tents using patterned camouflage are set a wooded area, and a team of observers is sent out to find them. The team reports the distance at which they first sight each tent (true sightings only) until all 20 tents are found. The purpose of the study is to determine whether the patterned camouflage is more difficult to detect than the plain camouflage. The distances at which each tent is detected are reported as follows. up in Distance (meters) Type of camouflage 25, 28, 16, 34, 38, 21, 29, 43, 32, 36 26, 12, 16, 21, 20, 14, 10, 18, 22, 20 Plain Patterned (b) Find a nonparametric 95% confidence interval for the difference in mean detection distances (a) Perform a hypothesis test. 1 u endlis EMS 1. Let S equal the number of pairs (X, Y) in which X; exceeds Y, (counting ties as one-half). Note that there are mn pairs in all. Show that S and T satisfy the relationship S =T-nn+ 1) 2 What statistic seems reasonable to use as an estimate of P(X> Y)?

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.