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.

Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use  = .05.

1. Complete the following ANOVA table (to 2 decimals, if necessary). Round p-value to four decimal places.

   Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
   Factor A
   Factor B
   Interaction
   Error
   Total

   
   
2. The p-value for Factor A is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21
   
   What is your conclusion with respect to Factor A?
   SelectFactor A is significantFactor A is not significantItem 22
   
3. The p-value for Factor B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23
   
   What is your conclusion with respect to Factor B?
   SelectFactor B is significantFactor B is not significantItem 24
   
4. The p-value for the interaction of factors A and B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 25
   
   What is your conclusion with respect to the interaction of Factors A and B?
   SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significantItem 26

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.

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.

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.

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.

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.

Consider a coin toss experiment and the following assets. A gives £200 if the first is heads, £50 for tails. B gives £200 if the second is heads and £50 for tails. C is half of A plus half of B. A and B are independent. Show that the expected value of each asset isthe same. Show that C reduces risk and explain why this is so. [Hint: You need to calculate E(A), E(B), and E(C). Also calculate the standard deviation (or risk) of returns from each asset]

A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 282 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?

Vaccination Status   Diseased   Not Diseased   Total
Vaccinated 54 124 178
Not Vaccinated 71 33 104
Total 125 157 282

Step 1 of 8:

State the null and alternative hypothesis.

Step 2 of 8:

Find the expected value for the number of subjects who are vaccinated and are diseased. Round your answer to one decimal place.

Step 3 of 8:

Find the expected value for the number of subjects who are vaccinated and are not diseased. Round your answer to one decimal place.

Step 4 of 8:

Find the value of the test statistic. Round your answer to three decimal places.

Step 5 of 8:

Find the degrees of freedom associated with the test statistic for this problem.

Step 6 of 8:

Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.

Step 7 of 8:

Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance.

Step 8 of 8:

State the conclusion of the hypothesis test at the 0.025 level of significance.

I did an experiment in which a cart on wheels is getting pulled by a pulley hanging off the surface. The pulley has a 50g hanger which causes the motion. The cart is 300g and then in different trials added one 50g weight, two, three, and then four. The slope was 0 degrees. My question is: Describe (and show with pictures) what forces change for each of the different configurations used.

. In an online experiment, participants were asked to react to a stimulus. Upon seeing a blue screen, participants were instructed to press a key and the reaction time was measured in seconds. The same participant is also asked to press a key when seeing a red screen, with the reaction time measured. (The first color tested was randomly selected for each participant.) The results of 6 randomly sampled participants are below. Is the reaction time to the blue stimulus different from the reaction time to the red stimulus at the 1% level of significance? (assume the population differences are approximately normally distributed)

participant 1 2 3 4 5 6

blue 0.582 0.481 0.841 0.267 0.685 0.450

red 0.408 0.407 0.542   0.402 0.456 0.533

Conduct a full hypothesis test. Be sure to:

• state the test and calculator test

• check conditions

1. state the hypotheses

2. find the differences between the pairs, sample mean, sample standard deviation, degrees of freedom and calculate the test statistic

3. state the level of significance

4. find the p-value and draw/shade the graph

5. make a decision

6. write a conclusion

3. An experiment consists of randomly rearranging the 10 letters of the word
QUARANTINE
into a sequence of 10 letters, where all possible orders of these 10 letters are equally likely. Find the probability of each of the following events:
(1) 2 the first three letters include no A’s;
(2) 3 the first three letters or the last three letters (or both) include no A’s;
(3) 2 the fourth letter is the first A;
(4) 3 the first letter and the last letter are the same;
(5) 2 the word ‘QUARANTINE’ is obtained;
(6)3 the sequence contains the word ‘RAN’