Question

1.After performing an ANOVA test, with (3,4) degrees of freedom, for data collected during an experiment trying to determine if there is at least one difference between groups. You get a calculated F value of 7.52. Using the table below, find the appropriate critical F value. What should be your conclusion(s), based on those 2 F values and α? Check all that apply.

Critical values of F (α= 0.05)

Degrees of freedom (x,y)	1	2	3	4	5
1	161.45	199.50	215.71	230.16	233.99
2	18.51	19.00	19.25	19.30	19.33
3	10.13	9.55	9.28	8.94	8.89
4	7.71	6.94	6.59	6.39	6.26
5	6.61	5.79	5.41	5.19	5.05

Group of answer choices

My calculated F value is likely to occur randomly

There is at least one significant inequality between groups

My calculated F value is not likely to occur randomly

There is not enough information to reach a conclusion

There is not a significant inequality between groups

2.(Select all correct answers) When designing an experiment, and selecting an statistical test for the data collected, we must decide what is our acceptable probabilities of making a Type I error. What are 2 things that can be done to lower the chances of committing a Type I error:

Group of answer choices

Increase the number of samples taken

Delete any data does not agree with your hypothesis

Decrease the number of samples taken

Select a higher α value

Select a different statistical test

Select a lower α value

3.(Select all correct answers) In an an effort to find a possible treatment for COVID-19, scientists are conducting clinical trials to determine if Remdesivir (an antiviral) is more effective than Hydroxychloroquine (an antimalarial), in reducing the viral load (number of viruses present) on the patient's blood. Patients are assigned randomly into one of three groups: Group 1 (Remdesivir), Group 2 (Hydroxychloroquine), and Group 3 (Placebo). Using the given experimental design information: Which of the following statistical test(s) would be best suited for answering the research question?

Group of answer choices

None of the above

T-test comparing viral load between patients from groups “1” and “3”

ANOVA comparing viral load between patients from groups “1” and “3”

T-test comparing viral load between patients from groups “1” and “2”

ANOVA comparing viral load between patients from groups “1” and “2"

T-test comparing viral loads between patients from groups “1” and “2” & "3"

ANOVA comparing viral loads among patients from groups “1”, “2”, and “3”

4. A UF Biology student wants to determine if the lengths of brown anole lizard tails are longer in Alachua county than in Clay county. He collects 35 in Alachua and 20 in Clay. After measuring their respective tail lengths, he runs a T-test and gets the following results: t-statistic= 0.98, p-value=0.02.

1.What is the correct ........... of degrees of freedom for test?

2.- If α was set at 0.05, the student should ............... the null hypothesis?

5. The figure below shows that a          [ Select ] ["Random", "Negative linear", "Positive logarithmic", "Positive linear", "Negative logarithmic"]   of relationship between the Length and Weight ? That relationship is better explained by the following statistical           [ Select ]    ["r: - 0.50", "r= 0.95", "r: -0.02", "r= -0.95", "r: 0.02", "r: 0.50"]               .

.

6. Scientists are interested in determining if taking 1000 IU of Vitamin D or Vitamin C daily, are effective in reducing the number of days a patient is symptomatic with a COVID-19. Patients are assigned randomly into one of three groups: Group 1 (Vitamin D), Group 2 (Vitamin C), and Group 3 (Placebo). Using the given experimental design information, what would be the appropriate way to write the null   [ Select ]   ["Ho: μ2 = μ3", "Ho: μ1 = μ1= μ3", "Ho: μ1 = μ3 ; Ho: μ2 = μ3", "Ho: μ1 = μ2", "Ho: μ1 = μ3"]   and alternative hypotheses    [ Select ]    ["Ha: μ1 ≠ μ3", "Ha: μ1 < μ2", "Ha: μ1 ≠ μ3 ; Ha: μ2 ≠ μ3", "Ha: μ1 ≠ μ2", "Ha: μ2 ≠ μ3", "Ha: μ1 < μ3", "Ha: μ1 <μ3 ; Ha: μ2 < μ3", "Ha: μ2 < μ3"]    if we were to use a t-test? Assume that μ is the average of the number of days a patient is symptomatic for each of the groups.

7. Which statistical test will allow you to determine if there is a significant difference in one continuous independent variable between three groups of categorical dependent variables?

Group of answer choices

T-Test

One-Way ANOVA

None of the above

Correlation/Regression

Chi-Squared

Answer 1

(My answers are in Bold. Also, please check the note for Question #5).

1. Critical values of F (α= 0.05) : 6.59

What should be your conclusion(s), based on those 2 F values and α?

There is at least one significant inequality between groups

2.What are 2 things that can be done to lower the chances of committing a Type I error:

Increase the number of samples taken

Select a lower α value

3. Which of the following statistical test(s) would be best suited for answering the research question?

ANOVA comparing viral loads among patients from groups “1”, “2”, and “3”

4.

1.What is the correct ........... of degrees of freedom for test? 53 (Since 35+20-2=53)

2.- If α was set at 0.05, the student should ............... the null hypothesis? Reject (P-value<0.05)

5.  The figure below shows that a          [ Select ] ["Random", "Negative linear", "Positive logarithmic", "Positive linear", "Negative logarithmic"]   of relationship between the Length and Weight ? That relationship is better explained by the following statistical           [ Select ]    ["r: - 0.50", "r= 0.95", "r: -0.02", "r= -0.95", "r: 0.02", "r: 0.50"] ( I am sorry, I did not see any figure in your Question. If you can share this later in the comments column, I can answer)

6. Using the given experimental design information, what would be the appropriate way to write the null   [ Select ] "Ho: μ1 = μ1= μ3",

"Ha: μ1 ≠ μ2",

7. Which statistical test will allow you to determine if there is a significant difference in one continuous independent variable between three groups of categorical dependent variables?

One-Way ANOVA