2875.1 PROBLEMSalgebra according to a new method. Find a 90% confidence interval for the difference inachievement scores expected from the two methods.MethodStudents' Achievement ScoresandPresent687872 79806984New647060726873Diet A was given to four overweight girls and diet B was given to five other overweightgirls, with the following observed weight losses. Find a 90% confidence interval for meandifference in effectiveness of the two diets.a),4.3).a $.237anDietWeight Losses (pounds)7, 2, -1, 46, 5, 2, 8, 3AerВ5. Eight volunteers for an experiment are divided randomly into two groups, to see if atelescopic sight improves the ability to hit a target under twilight conditions. Group A isgiven rifles with telescopic sights, whilesights. After a learning period they are given a shooting test at twilight. These are theirscores (100 is perfect).openB has the same kind of rifle but withgroupGroup A:Group B:8593 887783 80What do you conclude?up inTen tents using plain camouflage and 10 tents using patterned camouflage are set6.a wooded area, and a team of observers is sent out to find them. The team reports thedistance 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 difficultto detect than the plain camouflage. The distances at which each ternt is detected arereported as follows.MNHDistance (meters)Type of camouflage25, 28, 16, 34, 38, 21, 29, 43, 32, 3626, 12, 16, 21, 20, 14, 10, 18, 22, 20PlainPatterned(a) Perform a hypothesis test.(b) Find a nonparametric 95% confidence interval for the difference in mean detectiondistances.enoiOBLEMS1. 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 relationshipS =T_n(n + 1)2What statistic seems reasonable to use as an estimate of P(X> Y)?96 89ger,75)

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Asked Nov 18, 2019
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Question 4 in image

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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Expert Answer

Step 1

4.

Step-by-step procedure to obtain the 90% confidence interval for mean difference in effectiveness of two diets using Excel Mega stat:

  • Enter the data into Excel spreadsheet.
  • Click on Hypothesis tests and select on Compare two independent groups.
  • Select the ranges of group1 and group2.
  • Select hypothesized difference 0 and alternative as not equal.
  • Select 90% confidence interval.
  • Click ok.
Step 2

The output obtained using Excel Mega s...

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Hypothesis Test Independent Groups (t-test, pooled variance) Diet A DietB 3.00 4.80 mean 2.39 std. dev 3.37 4 7 df -1.800 difference (Diet A - DietB) 8.114 pooled variance 2.849 pooled std. dev. 1.911 standard error of difference 0 hypothesized difference -0.94 3776 p-value (two-tailed) 5.420 confidence interval 90.% lower 1.820 confidence interval 90. % upper 3.620 margin of error

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