what are the differences between the 3 main groups of eukaryotic organisms? please compare and contrast all three!
In: Biology
Explain the differences between fixed and random factors in Design of Experiments (DoE).Explain the three pillars of DoE
In: Mechanical Engineering
Consider the data.
|
xi |
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi |
4 | 8 | 6 | 12 | 14 |
(a)
Compute the mean square error using equation s2 = MSE =
| SSE |
| n − 2 |
. (Round your answer to two decimal places.)
(b)
Compute the standard error of the estimate using equation s =
| MSE |
=
|
. (Round your answer to three decimal places.)
(c)
Compute the estimated standard deviation of
b1
using equation sb1 =
| s | ||
|
. (Round your answer to three decimal places.)
(d)
Use the t test to test the following hypotheses (α = 0.05):
| H0: | β1 | = | 0 |
| Ha: | β1 | ≠ | 0 |
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject H0. We conclude that the relationship between x and y is significant. Do not reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We conclude that the relationship between x and y is significant.
(e)
Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F | p-value |
|---|---|---|---|---|---|
| Regression | |||||
| Error | |||||
| Total |
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. We cannot conclude that the relationship between x and y is significant. Do not reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We conclude that the relationship between x and y is significant. Do not reject H0. We conclude that the relationship between x and y is significant.
In: Statistics and Probability
Consider the data.
|
xi |
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi |
4 | 6 | 5 | 12 | 13 |
(a)
Compute the mean square error using equation s2 = MSE =
| SSE |
| n − 2 |
. (Round your answer to two decimal places.)
(b)
Compute the standard error of the estimate using equation s =MSE=
|
=
. (Round your answer to three decimal places.)
(c)
Compute the estimated standard deviation of b1 using equation sb1 =
| s | ||
|
. (Round your answer to three decimal places.)
(d)
Use the t test to test the following hypotheses (α = 0.05):
| H0: | β1 | = | 0 |
| Ha: | β1 | ≠ | 0 |
Find the value of the test statistic. (Round your answer to three decimal places.)
test statistic=
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject H0. We conclude that the relationship between x and y is significant.
Reject H0. We cannot conclude that the relationship between x and y is significant.
Do not reject H0. We cannot conclude that the relationship between x and y is significant.
Reject H0. We conclude that the relationship between x and y is significant.
(e)
Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F | p-value |
|---|---|---|---|---|---|
| Regression | |||||
| Error | |||||
| Total |
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Do not reject H0. We cannot conclude that the relationship between x and y is significant.
Do not reject H0. We conclude that the relationship between x and y is significant.
Reject H0. We cannot conclude that the relationship between x and y is significant.
Reject H0. We conclude that the relationship between x and y is significant.
In: Statistics and Probability
Consider the data.
|
xi |
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi |
3 | 7 | 5 | 10 | 13 |
(a)
Compute the mean square error using equation s2 = MSE =
| SSE |
| n − 2 |
. (Round your answer to two decimal places.)
(b)
Compute the standard error of the estimate using equation s =
| MSE |
=
|
. (Round your answer to three decimal places.)
(c)
Compute the estimated standard deviation of
b1
using equation sb1 =
| s | ||
|
. (Round your answer to three decimal places.)
(d)
Use the t test to test the following hypotheses (α = 0.05):
| H0: | β1 | = | 0 |
| Ha: | β1 | ≠ | 0 |
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We conclude that the relationship between x and y is significant.Reject H0. We cannot conclude that the relationship between x and y is significant.
(e)
Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F | p-value |
|---|---|---|---|---|---|
| Regression | |||||
| Error | |||||
| Total |
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We cannot conclude that the relationship between x and y is significant.Do not reject H0. We conclude that the relationship between x and y is significant.
In: Statistics and Probability
Consider the data.
|
xi |
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi |
4 | 7 | 5 | 11 | 13 |
(a)
Compute the mean square error using equation s2 = MSE =
| SSE |
| n − 2 |
. (Round your answer to two decimal places.)
(b)
Compute the standard error of the estimate using equation s =
| MSE |
=
|
. (Round your answer to three decimal places.)
(c)
Compute the estimated standard deviation of
b1
using equation sb1 =
| s | ||
|
. (Round your answer to three decimal places.)
(d)
Use the t test to test the following hypotheses (α = 0.05):
| H0: | β1 | = | 0 |
| Ha: | β1 | ≠ | 0 |
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We conclude that the relationship between x and y is significant. Do not reject H0. We cannot conclude that the relationship between x and y is significant. Do not reject H0. We conclude that the relationship between x and y is significant.
(e)
Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F | p-value |
|---|---|---|---|---|---|
| Regression | |||||
| Error | |||||
| Total |
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Do not reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We conclude that the relationship between x and y is significant. Do not reject H0. We conclude that the relationship between x and y is significant.Reject H0. We cannot conclude that the relationship between x and y is significant.
In: Statistics and Probability
The concentration of pollutants in the atmosphere is affected by some meteorological variables such as relative humidity, temperature, atmospheric pressure, among others. On the other hand, the dispersion of these pollutants is influenced by the stability that prevails in the atmosphere. At the regional level, attention has been paid to the problem of air pollution, mainly due to the oil activities that take place in southwestern Mexico. Through an automated monitoring network known as the Automated System of the Southern Region (SAMARS) of Petróleos Mexicanos (PEMEX), the main air pollutants (except ozone) and meteorological variables are monitored. This network has been operating since 1999 and has six monitoring stations located on the outskirts of the oil facilities (Batteries and Compressors). The information collected to date has been used mainly in the evaluation of air quality in the periphery of these facilities, in the calibration of pollutant dispersion models, and in their spatial distribution. The pollutants whose concentrations were studied are SO2 (sulfur dioxide), NO2 (nitrogen dioxide), and H2S (hydrogen sulfide); In this activity we will focus only on sulfur dioxide and its relationship with some meteorological variables. This information was obtained at a monitoring station in northern Chiapas. 1) The following average SO2 concentrations per year were obtained in ppb (parts per billion):
|
Year |
2015 |
2016 |
2017 |
2018 |
2019 |
|
PPB |
12.1 |
8.7 |
8.3 |
5.8 |
6.1 |
b) Obtain the Pearson correlation coefficient between both variables and make an interpretation of it 2) The following data refer to the SO2 concentration time (t), temperature (T), relative humidity (RH) and atmospheric pressure (P) in the last 12 months:
|
(ppb) |
Time |
Temperature () |
Relative Humidity (%) |
Atmosferic Pressure (mb) |
|
10.3 |
1 |
14 |
31 |
980 |
|
9.9 |
2 |
17 |
42 |
1010 |
|
9.4 |
3 |
21 |
52 |
1003 |
|
10.6 |
4 |
28 |
63 |
1020 |
|
10.1 |
5 |
33 |
74 |
990 |
|
14.3 |
6 |
35 |
88 |
1050 |
|
13.3 |
7 |
36 |
84 |
1070 |
|
8.2 |
8 |
35 |
86 |
1025 |
|
8.8 |
9 |
32 |
90 |
995 |
|
9.1 |
10 |
27 |
81 |
1005 |
|
10 |
11 |
23 |
62 |
1080 |
|
10.4 |
12 |
18 |
42 |
1056 |
Fit a multiple linear regression model to estimate the SO2 concentration in the coming months.
Expert Answer
In: Statistics and Probability
A study was undertaken to see how accurate food labeling for calories on food that is considered "reduced calorie". The group measured the amount of calories for each item of food and then found the percent difference between measured and labeled food. The group also looked at food that was nationally advertised, regionally distributed, or locally prepared. The data is in the following table ("Calories datafile," 2013).
Table: Percent Differences Between Measured and Labeled Food
|
National Advertised |
Regionally Distributed |
Locally Prepared |
|
2 |
41 |
15 |
|
-28 |
46 |
60 |
|
-6 |
2 |
250 |
|
8 |
25 |
145 |
|
6 |
39 |
6 |
|
-1 |
16.5 |
80 |
|
10 |
17 |
95 |
|
13 |
28 |
3 |
|
15 |
-3 |
|
|
-4 |
14 |
|
|
-4 |
34 |
|
|
-18 |
42 |
|
|
10 |
||
|
5 |
||
|
3 |
||
|
-7 |
||
|
3 |
||
|
-0.5 |
||
|
-10 |
||
|
6 |
Do the data indicate that at least two of the mean percent differences between the three groups are different? Test at the 10% level.
**********************************************************************
Let x1 = percent difference of calories between measured and labeled reduced calorie food that is nationally advertised
Let x2 = percent difference of calories between measured and labeled reduced calorie food that is regionally distributed
Let x3 = percent difference of calories between measured and labeled reduced calorie food that is prepared locally.
Let ?1 = mean percent difference of calories between measured and labeled reduced calorie foods that are nationally advertised
Let ?2 = mean percent difference of calories between measured and labeled reduced calorie foods that are regionally distributed
Let ?3 = mean percent difference of calories between measured and labeled reduced calorie foods that are prepared locally.
(i) Which of the following statements correctly defines the null hypothesis HO?
A. None of the three mean percentage differences are equal
B. At least two of the mean percentage differences are not equal
C. At least two of the mean percentage differences are equal
D. All three mean percentage differences are equal
Enter letter corresponding to correct answer
Let ?1 = mean percent difference of calories between measured and labeled reduced calorie foods that are nationally advertised
Let ?2 = mean percent difference of calories between measured and labeled reduced calorie foods that are regionally distributed
Let ?3 = mean percent difference of calories between measured and labeled reduced calorie foods that are prepared locally.
(ii) Which of the following statements correctly defines the alternate hypothesis HA?
A. None of the three mean percentage differences are equal
B. At least two of the mean percentage differences are not equal
C. At least two of the mean percentage differences are equal
D. All three mean percentage differences are equal
Enter letter corresponding to correct answer
(iii) Enter the level of significance ? used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
(iii) Calculate sample mean and sample standard deviation for sample percent differences between measured and labeled food that is advertised nationally.
Enter sample mean in decimal form to nearest thousandth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.278,2.31
0.274,0.06
-10.301,0.79
(v) Calculate sample mean and sample standard deviation for for sample percent differences between measured and labeled food that is distributed regionally.
Enter sample mean in decimal form to nearest thousandth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.278,2.31
0.274,0.06
-10.301,0.79
(vi) Calculate sample mean and sample standard deviation for sample percent differences between measured and labeled food that is prepared locally.
Enter sample mean in decimal form to nearest thousandth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.278,2.31
0.274,0.06
-10.301,0.79
(vii) Determine F ratio test statistic and corresponding p-value.
Use "CTRL-click" to access link. Enter test statistic to nearest hundredth, then enter comma, then enter p-value to nearest ten-thousandth. Examples of correctly entered responses:
12.33,0.0040
7.50,0.0001
6.77,0.5049
(viii) Comparing p-value and ? value, which is the correct decision to make for this hypothesis test?
A. Accept HA
B. Fail to reject Ho
C. Accept Ho
D. Reject Ho
Enter letter corresponding to correct answer.
(ix) Select the statement that most correctly interprets the result of this test:
A. The result is not statistically significant at .10 level of significance. Sufficient evidence exists to support the claim that at least two of the mean percent differences between the three groups are different.
B. The result is statistically significant at .10 level of significance. There is not enough evidence to support the claim that at least two of the mean percent differences between the three groups are different.
C. The result is statistically significant at .10 level of significance. Sufficient evidence exists to support the claim that at least two of the mean percent differences between the three groups are different.
D. The result is not statistically significant at .10 level of significance. There is not enough evidence to support the claim that at least two of the mean percent differences between the three groups are different.
In: Statistics and Probability
How much must be saved at the end of each year for the next 10 years in order to accumulate $50,000, if you can earn 9% annually? Assume you contribute the same amount to your savings every year.
$3,291.00 A
$3,587.87 B
$4,500.33 C
$4,587.79 D
In: Finance
The low-frequency relative permittivity of water is 88.00 at 0°C. At the same temperature, the index of refraction (at 589.3 nm) is roughly 1.33.
a.Which mechanisms contribute to the refractive index and to the relative permittivity?
b.Why is the refractive index so much smaller than the relative permittivity at low frequencies?
In: Chemistry