An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Thirty minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
an α of 0.05?
| Dose | |||
| Antidote | 5 | 10 | 15 |
| 1 | 0.6 1.1 1.1 |
2.1 1.5 2.4 |
3.1 4.1 5.9 |
| 2 | 1.1 2.5 1.1 |
1.7 1.3 1.5 |
2.1 3.1 2.1 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Obtain/compute the appropriate values to make a
decision about H0.
Antidote: critical value = ___________ ; test
statistic = ___________
Decision: Reject H0 or Fail to reject H0
Dose: critical value = ___________ ; test
statistic = ___________
Decision: Reject H0 or Fail to reject H0
Interaction: critical value = ___________ ; test
statistic = ___________
Decision: Reject H0 or Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
Antidote: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Dose: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
d) Make an interpretation based on the
results.
1)There is an antidote difference in blood concentration.
2)There is no antidote difference in blood concentration.
1)There is a dose difference in blood concentration.
2)There is no dose different in blood concentration.
1)There is an antidote by dose interaction in blood concentration.
2)There is no antidote by dose interaction in blood concentration.
In: Statistics and Probability
In the Meselson - Stahl experiment, if after the first round of replication, the DNA had been denatured at high temperature before its centrifugation in a column of cesium chloride, which two models would have shown the same sedimentation pattern?
Group of answer choices
a) semiconservative and dispersive
b) none of the three would have had the same sedimentation pattern
c) all three would have shown the same sedimentation pattern
d) conservative and dispersive
e) semiconservative and conservative
In: Biology
In the Meselson - Stahl experiment, if after the first round of replication, the DNA had been denatured at high temperature before its centrifugation in a column of cesium chloride, which two models would have shown the same sedimentation pattern?
Group of answer choices
semiconservative and dispersive
conservative and dispersive
all three would have shown the same sedimentation pattern
semiconservative and conservative
none of the three would have had the same sedimentation pattern
In: Biology
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.
| Language | |||
| Spanish | French | German | |
| System 1 | 8 | 9 | 14 |
| 12 | 13 | 18 | |
| System 2 | 6 | 13 | 17 |
| 10 | 15 | 23 | |
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
| Factor A | |||||
| Factor B | |||||
| Interaction | |||||
| Error | |||||
| Total |
In: Statistics and Probability
A social psychologist conducts an experiment to determine the best way to design a message for college students about the importance of engaging in safe sex. She hypothesizes that two factors impact the effectiveness of the message: (a) the medium used to deliver the message (lecture, video, or pamphlet), and (b) the emotional tone of the message (fear, neutral, or humor). The dependent variable is a measure of behavioral intention to engage in safe sex behavior (higher score indicating greater intention). She randomly assigns 45 participants to 9 groups, and obtains the following data:
| Emotional Tone |
Lecture |
Video | Pamphlet |
| Fear |
7 6 7 4 4 |
6 5 7 6 4 |
5 4 7 4 6 |
| Neutral |
6 9 8 4 2 |
6 4 7 5 6 |
6 4 5 8 4 |
| Humor |
7 7 4 8 4 |
4 2 1 2 1 |
8 5 4 6 4 |
a. Using Excel, analyze these data by performing a two-way between-groups ANOVA. Create formulas to calculate the SS terms and the rest of the ANOVA summary table.
b. Include the effect size (eta-squared) for the medium, emotional tone, and medium X emotional tone effects in your ANOVA table (you’ll need to create your own formulas).
c. Create a graph to show the results, with error bars (estimated standard error of the means).
d. Insert a textbox in which you report the results of the ANOVA, the effect sizes for any significant effects, and refer to the graph to describe the pattern of any significant results.
In: Statistics and Probability
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.
| Language | |||
| Spanish | French | German | |
| System 1 | 7 | 8 | 14 |
| 11 | 12 | 18 | |
| System 2 | 5 | 16 | 19 |
| 9 | 18 | 25 | |
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
| Factor A | |||||
| Factor B | |||||
| Interaction | |||||
| Error | |||||
| Total |
In: Statistics and Probability
A professor decides to conduct a experiment to determine the effects of using a study sheet on final performance among her students. She is interested in finding out if creating a study sheet improves performance on the final. Prior to the start of the semester, the professor randomly assigns 16 students to one of two groups. One group of students is given a direction to create a study sheet over the course of the term and the other group is not. Both groups receive the same course content over the course of the semester. Scores from the final are used as the dependent variable. Below are the scores for the final of students in her class.
Study Sheet: 88, 77, 96. 85, 71, 73, 81, 91
No study sheet: 63, 71, 83, 90, 92, 84, 72, 71
a. Is this an independent samples or related samples
design? Why?
b. Write the H0 and H1 in symbols.
c, Calculate the degrees of freedom (df) and the t
critical value with a significance level of .05.
d. Use the data and conduct the appropriate test to test
the hypothesis that creating a study sheet will improve performance
on the final
e. Report your decision.
f. Interpret your finding.
In: Statistics and Probability
A psychology professor decides to conduct a scientific experiment to determine the effects of using a study sheet on test performance among her students. She is interested in finding out if creating a study sheet improves performance on the test. Prior to the start of the semester, the professor randomly assigns 16 students to one of two groups. One group of students is given a direction to create a study sheet over the course of the term and the other group is not. Both groups receive the same course content over the course of the semester. Scores from the test are used as the dependent variable. Below are the scores for the test of students in her class.
Study Sheet: 88, 77, 96. 85, 71, 73, 81, 91
No study sheet: 63, 71, 83, 90, 92, 84, 72, 71
a. Is this an independent samples or related samples design? Why?
b. Write the H0 and H1 in symbols.
c, Calculate the degrees of freedom (df) and the t critical value with a significance level of .05.
d. Use the data and conduct the appropriate test to test the hypothesis that creating a study sheet will improve performance on the test.
e. Report your decision.
f. Interpret your finding.
In: Statistics and Probability
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 229 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?
Vaccination Status Diseased Not
Diseased Total
Vaccinated 68 71 139
Not Vaccinated 47 43 90
Total 115 114 229
Find the expected value for the number of subjects who are vaccinated and are diseased. Round your answer to one decimal place.
Find the expected value for the number of subjects who are not vaccinated and are not diseased. Round your answer to one decimal place.
Find the value of the test statistic. Round your answer to three decimal places.
Find the degrees of freedom associated with the test statistic for this problem.
Find the critical value of the test at the 0.0250.025 level of significance. Round your answer to three decimal places.
Make the decision to reject or fail to reject the null hypothesis at the 0.0250.025 level of significance.
State the conclusion of the hypothesis test at the 0.0250.025 level of significance.
In: Statistics and Probability
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.
| Language | |||
|---|---|---|---|
| Spanish | French | German | |
| System 1 | 8 | 12 | 10 |
| 12 | 16 | 14 | |
| System 2 | 6 | 12 | 18 |
| 10 | 14 | 24 | |
Test for any significant differences due to language translator, type of language, and interaction. Use α = 0.05.
Find the value of the test statistic for language translator. (Round your answer to two decimal places.)
Find the p-value for language translator. (Round your answer to three decimal places.)
p-value =
State your conclusion about language translator.
Because the p-value ≤ α = 0.05, language translator is not significant. Because the p-value > α = 0.05, language translator is not significant. Because the p-value > α = 0.05, language translator is significant. Because the p-value ≤ α = 0.05, language translator is significant.
Find the value of the test statistic for type of language. (Round your answer to two decimal places.)
Find the p-value for type of language. (Round your answer to three decimal places.)
p-value =
State your conclusion about type of language.
Because the p-value ≤ α = 0.05, type of language is significant. Because the p-value > α = 0.05, type of language is not significant. Because the p-value ≤ α = 0.05, type of language is not significant. Because the p-value > α = 0.05, type of language is significant.
Find the value of the test statistic for interaction between language translator and type of language. (Round your answer to two decimal places.)
Find the p-value for interaction between language translator and type of language. (Round your answer to three decimal places.)
p-value =
State your conclusion about interaction between language translator and type of language.
Because the p-value > α = 0.05, interaction between language translator and type of language is not significant. Because the p-value ≤ α = 0.05, interaction between language translator and type of language is significant. Because the p-value > α = 0.05, interaction between language translator and type of language is significant. Because the p-value ≤ α = 0.05, interaction between language translator and type of language is not significant.
In: Statistics and Probability