287 5.1 PROBLEMS 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 and Present 68 78 72 79 80 69 84 New 64 70 60 72 68 73 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 difference in effectiveness of the two diets. a), 4. 3). a $.2 37 an Diet Weight Losses (pounds) 7, 2, -1, 4 6, 5, 2, 8, 3 A er В 5. Eight volunteers for an experiment 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 sights. After a learning period they are given a shooting test at twilight. These are their scores (100 is perfect). open B has the same kind of rifle but with group Group A: Group B: 85 93 88 77 83 80 What do you conclude? up in Ten tents using plain camouflage and 10 tents using patterned camouflage are set 6. 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 ternt is detected are reported as follows. MNH 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 (a) Perform a hypothesis test. (b) Find a nonparametric 95% confidence interval for the difference in mean detection distances. enoi OBLEMS 1. Let S equal the number of pairs (X, Y) in which Xi 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_n(n + 1) 2 What statistic seems reasonable to use as an estimate of P(X> Y)? 96 89 ger, 75)

287 5.1 PROBLEMS 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 and Present 68 78 72 79 80 69 84 New 64 70 60 72 68 73 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 difference in effectiveness of the two diets. a), 4. 3). a $.2 37 an Diet Weight Losses (pounds) 7, 2, -1, 4 6, 5, 2, 8, 3 A er В 5. Eight volunteers for an experiment 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 sights. After a learning period they are given a shooting test at twilight. These are their scores (100 is perfect). open B has the same kind of rifle but with group Group A: Group B: 85 93 88 77 83 80 What do you conclude? up in Ten tents using plain camouflage and 10 tents using patterned camouflage are set 6. 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 ternt is detected are reported as follows. MNH 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 (a) Perform a hypothesis test. (b) Find a nonparametric 95% confidence interval for the difference in mean detection distances. enoi OBLEMS 1. Let S equal the number of pairs (X, Y) in which Xi 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_n(n + 1) 2 What statistic seems reasonable to use as an estimate of P(X> Y)? 96 89 ger, 75)

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287
5.1 PROBLEMS
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
and
Present
68
78
72 79
80
69
84
New
64
70
60
72
68
73
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
difference in effectiveness of the two diets.
a),
4.
3).
a $.2
37
an
Diet
Weight Losses (pounds)
7, 2, -1, 4
6, 5, 2, 8, 3
A
er
В
5. Eight volunteers for an experiment 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
sights. After a learning period they are given a shooting test at twilight. These are their
scores (100 is perfect).
open
B has the same kind of rifle but with
group
Group A:
Group B:
85
93 88
77
83 80
What do you conclude?
up in
Ten tents using plain camouflage and 10 tents using patterned camouflage are set
6.
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 ternt is detected are
reported as follows.
MNH
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
(a) Perform a hypothesis test.
(b) Find a nonparametric 95% confidence interval for the difference in mean detection
distances.
enoi
OBLEMS
1. Let S equal the number of pairs (X, Y) in which Xi 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_n(n + 1)
2
What statistic seems reasonable to use as an estimate of P(X> Y)?
96 89
ger,
75)

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