Question
In: Math
Ten observations were selected from each of 3 populations and an analysis of variance was performed...
Ten observations were selected from each of 3 populations and an analysis of variance was performed on the data. The following are the results:
| Source of variation | Sum of squares | degrees of freedom | mean square | F |
| Between treatments | 82.4 | |||
| Within treatments (Error) | 158.4 | |||
| Total |
A. Using alpha= .05, test to see if there is a significant difference among the means of the three populations.
B. If in part A you concluded that at least one mean is different from the others, determine which mean is different using LSD method. The three samples are (mean) X1=24.8, X2=23.4, X3=27.4.
Solutions
milcah answered 9 months agoRelated Solutions
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
and 2 produced 37 and 30 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.05.
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1−p2)=0 and conclude that (p1−p2)≠0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1−p2)=0.
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
and 2 produced 23 and 13 successes, respectively.
Test H0:(p1−p2)=0H0:(p1−p2)=0 against
Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.03α=0.03
(a) The test statistic is
(b) The P-value is
Nine observations were selected from each of three populations: (You may think of the rows as...
Nine observations were selected from each of three
populations:
(You may think of the rows as weeks)
Population 1
Population 2
Population 3
Ave.
1
13, 12, 14
17, 13, 15
9, 13,11
13
2
12, 10, 8
15, 13, 14
11, 7, 9
11
3
12, 13, 14
14, 18, 16
16, 16, 16
15
Means
12
15
12
13
a. What is the value of the Treatment Sum of
Squares:………………………..
b. The value of the Sum of Squares...
1 point) Independent random samples, each containing 60 observations, were selected from two populations. The samples...
1 point) Independent random samples, each containing 60
observations, were selected from two populations. The samples from
populations 1 and 2 produced 33 and 22 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.08.
(a) The test statistic is____
(b) The P-value is ____
(c) The final conclusion is A. We can reject the null hypothesis
that (p1−p2)=0 and accept that (p1−p2)≠0. B. There is not
sufficient evidence to reject the null hypothesis that
(p1−p2)=0.
Independent random samples of n1 = 800 and n2 = 610 observations were selected from binomial populations...
Independent random samples of n1 = 800 and
n2 = 610 observations were selected from binomial
populations 1 and 2, and x1 = 336 and x2 =
378 successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
_______ to _______/
(b) What assumptions must you make for the confidence interval
to be valid? (Select all that apply.)
independent random samples
symmetrical distributions for...
Independent random samples of 180 observations were randomly selected from binomial populations 1 and 2, respectively....
Independent random samples of 180 observations were randomly
selected from binomial populations 1 and 2, respectively. Sample 1
had 104 successes, and sample 2 had 113 successes.
Suppose that, for practical reasons, you know that
p1
cannot be larger than
p2.
Test the appropriate hypothesis using α = 0.10.
vH0: (p1 − p2) = 0 versus
Ha: (p1 − p2) < 0
Find the test statistic. (Round your answer to two decimal
places.)
z =
Find the rejection region. (Round...
3. Independent random samples of n1 = 16 and n2 = 13 observations were selected from...
3. Independent random samples of n1 = 16 and n2 = 13
observations were selected from two normal populations with equal
variances. The sample means and variances are shown below:
Population 1 Population 2 Sample size 16 13 Sample mean 34.6 32.2
Sample variance 4.0 4.84 a) Suppose you wish to test if there is
difference between the population means with significance level of
α = 0.05. State the null and alternative hypotheses that you use
for the test. b)...
In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results:
In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results:
Sample 1
Sample 2
x¯¯¯1=0x¯1=0
x¯¯¯2=4x¯2=4
s1=145s1=145
s2=100s2=100
(a) Use a 99 % confidence interval to estimate the difference between the population means (μ1−μ2).
_______ ≤ (μ1−μ2) ≤ ________
(b) Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative hypothesis: Ha:(μ1−μ2)≠0.
Using α=0.01α=0.01, give the following:
the test statistic z=
The final conclusion is
A. There is not...
In order to compare the means of two populations, independent random samples of 253 observations are selected from each population, with the following results:
In order to compare the means of two populations, independent random samples of 253 observations are selected from each population, with the following results:
Sample 1
Sample 2
x¯1=1
x¯2=2
s1=190
s2=145
(a) Use a 97 % confidence interval to estimate the difference between the population means (μ1−μ2).
≤(μ1−μ2)≤(b) Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative hypothesis: Ha:(μ1−μ2)≠0. Using α=0.03, give the following:
the test statistic z=
The final conclusion is
A. There is not sufficient evidence to reject the...
- Ten samples were taken from the normally distributed population with a variance of 64. Test...
- Ten samples were taken from the normally distributed
population with a variance of 64. Test whether the data are
sufficient evidence to conclude that the population mean is greater
than 45 at a 10 per cent significance level, as follows (58, 62,
45, 50, 59, 65, 39, 40, 41, 52).
1. Set a hypothesis
2. Ask for rejection region.
3. Obtain the Test Statistics
4. Find a p-value.
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