Question
In: Statistics and Probability
A sample was collected from each of the three geographically selected bird populations. The length of...
A sample was collected from each of the three geographically selected bird populations. The length of the beak (in cm) of each specimen was measured. Determine if there is a statistically significant difference between populations in terms of peak length. Use ANOVA (30 points)
| A | B | C |
| 4.2 | 3.8 | 3.0 |
| 3.3 | 4.1 | 3.5 |
| 2.8 | 5.0 | 4.5 |
| 4.3 | 4.6 | 4.4 |
| 3.7 | 5.1 | |
| 4.5 | ||
| 3.6 |
Solutions
orchestra answered 2 years agoRelated Solutions
Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample...
Consider the data in the table collected from three independent
populations.
Sample 1
Sample 2
Sample 3
4
3
4
a) Calculate the total sum of squares (SST) and partition the
SST into its two components, the sum of squares between (SSB) and
the sum of squares within (SSW).
2
2
2
9
1
1
5
b) Use these values to construct a one-way ANOVA table.
c) Using alphaαequals=0.05,
what conclusions can be made concerning the population
means?
Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample...
Consider the data in the table collected from three independent
populations.
Sample 1
Sample 2
Sample 3
33
11
88
a) Calculate the total sum of squares (SST) and partition the
SST into its two components, the sum of squares between (SSB) and
the sum of squares within (SSW).
66
33
22
99
88
33
1111
b) Use these values to construct a one-way ANOVA table.
c) Using
alphaαequals=0.100.10,
what conclusions can be made concerning the population
means?
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5. (36 pts) Suppose three samples are selected from three populations as follows: Sample 1: 2,...
5. (36 pts) Suppose three samples are selected from three
populations as follows: Sample 1: 2, 6 Sample 2: 6, 8, 10 Sample 3:
9, 11, 13, 15 At the α = 0.01 level of significance, determine
whether there is evidence of a difference in the population
means.
The following sample data have been collected from a paired sample from two populations. The claim...
The following sample data have been collected from a paired
sample from two populations. The claim is that the first population
mean will be at least as large as the mean of the second
population. This claim will be assumed to be true unless the data
strongly suggest otherwise.
Population Data
Sample 1
Sample 2
4.4
3.7
2.7
3.5
1.0
4.0
3.5
4.9
2.8
3.1
2.6
4.2
2.4
5.2
2.0
4.4
2.8
4.3
State the appropriate null and alternative hypotheses....
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...
Consider the following data collected from four independent populations: Sample 1 Sample 2 Sample 3 Sample...
Consider the following data collected from four independent
populations:
Sample 1 Sample 2 Sample 3 Sample 4
3 14 21 8
8 9 15 3
6 13 16 13
5 14
a. Calculate the total sum of squares
(SST).
b. Partition the total sum of squares (SST) into its two
components.
c. Using a= 0.001, what conclusions can be made about the
population means?
Two random samples are selected from two independent populations. A summary of the sample sizes, sample...
Two random samples are selected from two independent
populations. A summary of the sample sizes, sample means, and
sample standard deviations is given below:
n1=43, x¯1=59.1, ,s1=5.9
n2=40, x¯2=72.6, s2=11
Find a 99% confidence interval for the difference μ1−μ2 of the
means, assuming equal population variances.
_________<μ1−μ2<____________
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
A random sample of 30 stocks was selected from each of the three major U.S. exchanges...
A random sample of 30 stocks was selected from each of the three
major U.S. exchanges and their performance over the previous year
was noted. The median performance for all 90 stocks was noted and
the following table constructed, Exchange Median New York 18
American 17 NASDAQ 10 Was there a significant difference in the
performance of stocks on the three exchanges during the previous
year?
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