Question
The following are six observations collected from treatment 1, ten observations collected from treatment 2, and...
The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the 0.05 significance level.
| Treatment 1 | Treatment 2 | Treatment 3 |
| 3 | 9 | 6 |
| 2 | 6 | 3 |
| 5 | 5 | 5 |
| 1 | 6 | 5 |
| 3 | 8 | 5 |
| 1 | 5 | 4 |
| 4 | 1 | |
| 7 | 5 | |
| 6 | ||
| 4 | ||
Find the 95% confidence interval for the difference between treatment 2 and 3. (Round your answers to 2 decimal places.)
Homework Answers
Answer #1
| critical value of t with 0.05 level and N-k=21 degree of freedom= | tN-k= | 2.080 | |||
| Fisher's (LSD) for group i and j =(tN-k)*(sp*√(1/ni+1/nj) =2.080*sqrt(2.5238*(1/10+1/8))= | 1.57 | ||||
95% confidence interval for the difference between treatment 2 and 3 =estimate difference -/+ LSD
=(6-4.25) -/+ 1.57
=0.18 to 3.32
Not the answer you're looking for?
Similar Questions
The following are six observations collected from treatment 1, four observations collected from treatment 2, and...
The following are six observations collected from treatment 1,
four observations collected from treatment 2, and five observations
collected from treatment 3. Test the hypothesis at the 0.05.
significance level that the treatment means are equal. questions:
1. What is the sample size n? 2.What is the number of treatment K?
3. what is the degrees of freedom for the treatments? 4. what is
the degrees of freedom for the error? 5. at a 0.05 level of
significance, what is...
Given the following sample information, test the hypothesis that the treatment means are equal at the...
Given the following sample information, test the hypothesis that
the treatment means are equal at the 0.05 significance level.
Treatment 1
Treatment 2
Treatment 3
3
9
6
2
6
3
5
5
5
1
6
5
3
8
5
1
5
4
4
1
7
4
6
4
(a) State the null hypothesis and the alternate hypothesis. Ho :
?1 (>, <, or =) incorrect ?2 = (<,>, or =) ?3. H1 :
Treatment means are not ___ all...
Consider the following sample information for three treatment groups: Treatment 1 : 10 11 12 19...
Consider the following sample information for three treatment
groups: Treatment 1 : 10 11 12 19 Treatment 2: 8 9 11 7 Treatment
3:6 5 4 9(a) Using the 0.05 significance level, test the null
hypothesis that the three treatment means are equal. (b) Interpret
your results
The following two samples were collected as matched pairs: Pair 1 2 3 4 5 6...
The following two samples were collected as matched pairs: Pair
1 2 3 4 5 6 7 8 Sample 1 8 4 6 9 9 7 9 8 Sample 2 5 7 6 5 6 9 7 6
a. State the null and alternative hypotheses to estimate the
difference in means between the populations from which Samples 1
and 2 were drawn. b. Calculate the appropriate test statistic and
interpret the results of the hypothesis test using α = 0.1....
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32...
The following data are from a completely randomized design.
Treatment
Treatment
Treatment
A
B
C
32
46
33
30
45
36
30
46
35
26
48
36
32
50
40
Sample mean
30
47
36
Sample variance
6
4
6.5
At the = .05 level of significance, can we reject
the null hypothesis that the means of the three treatments are
equal?
Compute the values below (to 1 decimal, if necessary).
Sum of Squares, Treatment
Sum of Squares, Error
Mean Squares,...
Treatment A Treatment B Treatment C 32 44 34 30 43 37 30 44 36 26...
Treatment A Treatment B Treatment C
32 44 34
30 43 37
30 44 36
26 46 37
32 48 41
Sample mean 30 45 37
Sample variance 6 4 6.5
a. At the X= 0.05 level of significance, can we reject the null
hypothesis that the means of the three treatments are equal?
Compute the values below (to 1 decimal, if necessary).
Sum of Squares, Treatment
Sum of Squares, Error
Mean Squares, Treatment
Mean Squares, Error
Calculate the value...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the...
The following is sample information. Test the hypothesis that
the treatment means are equal. Use the 0.01 significance level.
Treatment 1
Treatment 2
Treatment 3
10
4
3
4
5
5
9
5
6
7
9
6
a. State the null hypothesis and the alternate
hypothesis.
H0:
(Click to
select) The treatment means are not all the
same. The treatment means are the same.
H1:
(Click to
select) The treatment means are the same. The
treatment means are not all...
Two groups are tested in an experiment and the results for the measurements are: Group 1:...
Two groups are tested in an experiment and the results for the
measurements are: Group 1: 5, 7, 5, 3, 5, 3, 3, 9 Group 2: 8, 1, 4,
6, 6, 4, 1, 2 Test for the equality of the means at 5%
significance. What is the 95% confidence interval for the
difference in means?
1) Suppose n1 = 15, n2 = 12, the means for samples 1 and 2 are...
1) Suppose n1 = 15,
n2 = 12, the means for samples 1 and 2 are 70.5 and
78.5, respectively, and the standard deviations for samples 1 and 2
are 8.27 and 8.38, respectively. Test H0: μ1
≤ μ2 vs. Ha: μ1 > μ2
using α = 0.05. Be sure to:
a) Address all necessary assumptions for running a
t-test;
b) Regardless of whether or not the assumptions
are met, run a t-test. calculate the test statistic;
c) Calculate the...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the...
The following is sample information. Test the hypothesis that
the treatment means are equal. Use the 0.02 significance level.
Treatment 1
Treatment 2
Treatment 3
3
10
4
8
6
6
3
9
3
5
7
10
a. State the null hypothesis and the alternate
hypothesis.
H0:
(Click to
select) The treatment means are not all the
same. The treatment means are the same.
H1:
(Click to
select) The treatment means are the same. The
treatment means are not all...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 15 minutes ago
asked 29 minutes ago
asked 42 minutes ago
asked 52 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago