5.2 PROBLEMSvwC299on taiТуреAВReplacedRepairedNot ReturnedC1261087829658significant difference among the reliabilities of the different radioDoes there seem to be atypes? If so, which ones seem to be different?The amount of iron present in the livers of white rats is measured after the animals hadfed one of five diets for a prescribed length of time. There were 10 animals randomly5.beenassigned to each of the five diets.Diet ADiet BDiet CDiet DDiet E2.235.594.501.351.401.140.963.921.061.512.636.9610.330.742.491.001.238.230.961.74re A D1.591.351.612.071.162.012.944.902.081.36mo bsand1.641.966.840.693.00he1.133.686.420.684.811.011.543.720.845.211.702.596.001.345.12Do the different diets appear to affect the amount of iron present in the livers?Twelve volunteers were assigned to each of three weight-reducing plans. The assignment6.of the volunteers to the plans was at random, and it was assumed that the 36 volunteersin all would resemble a random sample of people who might try a weight-reducingprogram. Test the null hypothesis that there is no difference in the probability distributionsof the amount of weight lost under the three programs against the alternative that thereis a difference. The results are given as the number of pounds lost by eachperson.Plan CPlan BPlan A2 1717 5 29 52512 4 15 6 33 1925 32242554 6 19 426 21 5 9h 11368 6 14 7287 20ROBLEMSShow that Equations 3 and 5 are equivalent when there are no ties.2. Find the exact distribution of the Kruskal-Wallis test statistic when Ho is true, n1 3,1.

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Asked Nov 20, 2019
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Question 6 in images

5.2 PROBLEMS
vwC
299
on tai
Туре
A
В
Replaced
Repaired
Not Returned
C
12
6
10
8
7
82
96
58
significant difference among the reliabilities of the different radio
Does there seem to be a
types? If so, which ones seem to be different?
The amount of iron present in the livers of white rats is measured after the animals had
fed one of five diets for a prescribed length of time. There were 10 animals randomly
5.
been
assigned to each of the five diets.
Diet A
Diet B
Diet C
Diet D
Diet E
2.23
5.59
4.50
1.35
1.40
1.14
0.96
3.92
1.06
1.51
2.63
6.96
10.33
0.74
2.49
1.00
1.23
8.23
0.96
1.74
re A D
1.59
1.35
1.61
2.07
1.16
2.01
2.94
4.90
2.08
1.36
mo bsand
1.64
1.96
6.84
0.69
3.00
he
1.13
3.68
6.42
0.68
4.81
1.01
1.54
3.72
0.84
5.21
1.70
2.59
6.00
1.34
5.12
Do the different diets appear to affect the amount of iron present in the livers?
Twelve volunteers were assigned to each of three weight-reducing plans. The assignment
6.
of the volunteers to the plans was at random, and it was assumed that the 36 volunteers
in all would resemble a random sample of people who might try a weight-reducing
program. Test the null hypothesis that there is no difference in the probability distributions
of the amount of weight lost under the three programs against the alternative that there
is a difference. The results are given as the number of pounds lost by each
person.
Plan C
Plan B
Plan A
2 1717 5 29 5
25
12 4 15 6 3
3 19
25 32
24
25
5
4 6 19 4
26 21 5 9h 1136
8 6 14 7
28
7 20
ROBLEMS
Show that Equations 3 and 5 are equivalent when there are no ties.
2. Find the exact distribution of the Kruskal-Wallis test statistic when Ho is true, n1 3,
1.
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5.2 PROBLEMS vwC 299 on tai Туре A В Replaced Repaired Not Returned C 12 6 10 8 7 82 96 58 significant difference among the reliabilities of the different radio Does there seem to be a types? If so, which ones seem to be different? The amount of iron present in the livers of white rats is measured after the animals had fed one of five diets for a prescribed length of time. There were 10 animals randomly 5. been assigned to each of the five diets. Diet A Diet B Diet C Diet D Diet E 2.23 5.59 4.50 1.35 1.40 1.14 0.96 3.92 1.06 1.51 2.63 6.96 10.33 0.74 2.49 1.00 1.23 8.23 0.96 1.74 re A D 1.59 1.35 1.61 2.07 1.16 2.01 2.94 4.90 2.08 1.36 mo bsand 1.64 1.96 6.84 0.69 3.00 he 1.13 3.68 6.42 0.68 4.81 1.01 1.54 3.72 0.84 5.21 1.70 2.59 6.00 1.34 5.12 Do the different diets appear to affect the amount of iron present in the livers? Twelve volunteers were assigned to each of three weight-reducing plans. The assignment 6. of the volunteers to the plans was at random, and it was assumed that the 36 volunteers in all would resemble a random sample of people who might try a weight-reducing program. Test the null hypothesis that there is no difference in the probability distributions of the amount of weight lost under the three programs against the alternative that there is a difference. The results are given as the number of pounds lost by each person. Plan C Plan B Plan A 2 1717 5 29 5 25 12 4 15 6 3 3 19 25 32 24 25 5 4 6 19 4 26 21 5 9h 1136 8 6 14 7 28 7 20 ROBLEMS Show that Equations 3 and 5 are equivalent when there are no ties. 2. Find the exact distribution of the Kruskal-Wallis test statistic when Ho is true, n1 3, 1.

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Expert Answer

Step 1

6.

The hypotheses are given below:

Null hypothesis:

H0: There is no difference in the probability distributions of the amount of weight lost under the three programs.

Alternative hypothesis:

H1: There is difference in the probability distributions of the amount of weight lost under the three programs.

Step-by-step procedure to obtain the test statistic using MINITAB software:

  • Choose ...
Kruskal-Wallis Test: Weight Loss versus Plan
Descriptive Statistics
N Median Mean Rank Z-Value
Plan
7.0
15.8
12
1.07
8.0
12
15.0
-1.39
12
24.6
c
24.5
2.47
Overall 36
18.5
Test
Null hypothesis
Alternative hypothesis
Ho: All medians are equal
H: At least one median is different
Method
DF H-Value P-Value
Not adjusted for ties
Adjusted for ties
0.047
2
6.12
2
6.14
0.046
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Kruskal-Wallis Test: Weight Loss versus Plan Descriptive Statistics N Median Mean Rank Z-Value Plan 7.0 15.8 12 1.07 8.0 12 15.0 -1.39 12 24.6 c 24.5 2.47 Overall 36 18.5 Test Null hypothesis Alternative hypothesis Ho: All medians are equal H: At least one median is different Method DF H-Value P-Value Not adjusted for ties Adjusted for ties 0.047 2 6.12 2 6.14 0.046

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