An experimental psychology professor conducts an experiment to evaluate the effects of Variable A: Math Ability and Variable B: Teaching Method on student performance in research methods. Volunteers for the experiment are divided according to math ability into weak, average, and strong math ability groups. Half of the students in each math ability group are randomly assigned to one of two teaching methods: Method 1 (traditional format) or Method 2 (augmented format, which includes additional problem-solving sessions each week). At the end of the course, all of the students take the same final exam.

a.) complete the ANOVA summary table below:

Source. SS. df. MS. F

______________________________________________

between. 2,421.37. ______. _______. _______

variable A. 1,444.87. ______. ________. _______

variable B. ________. 1. ________. _______

_____?____. 256.20. 2. ________. _______

within groups 237.60. ______. ________. _______

total. ________. 29. ________. _______

b.) set up the null and alternative hypotheses and state your decisions about each null hypothesis using an alpha level of .05

When measuring the volumes of Fe(NO3)3 and NaSCN solutions in this experiment, the student mistakenly used a graduated cylinder instead of volumtetric pipets, After collecting all of the data, the student realized he'd used the wrong piece of equipment, but he didn't redo the experiment. Also, he later realized that he had consistenly misread the graduated cylinder and had thus transferred volumes that were actually 5% lower that the recorded volumes. Incoportate these measurement errors into the data for one of your equilibrium solutions, and recompute Keq for that solution. Determine whether the student's measurements errors would cause each of the following, as recalculated by you, to be higher than, lower than, or identical to the value you originally determinded. Briefly explain.

1) the calculated SCN- ion concentration in the standard solution

2) the slope of the Beer's Law plot

3) the calculated equilibrium solution concentrations

4) calculated Keq

Three professors at a university did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $10 cash in different classrooms on the campus. 45% were returned overall. From the economics classes 57% of the envelopes were returned. From the business, psychology, and history classes 32% were returned.

• R = money returned
• E = economics classes
• O = other classes

• Part (a) Write a probability statement for the overall percent of money returned.

  P ()=
    

• Part (b)Write a probability statement for the percent of money returned out of the economics classes.

  P ()=

• Part (c) Write a probability statement for the percent of money returned out of the other classes.

  P ()=

• Part (d) Is money being returned independent of the class? Explain.

• Part (e) Based upon this experiment, do you think that economists are more selfish than other people? Explain.

.

1. In "magnetic force on a current carrying wire" experiment, using the data for force(y-axis, in Newton) versus length (in meters), someone obtained a linear curve fit equation: y=0.1x+2. If in the experiment, the wire carrying a current I=2.0 A, how strong is the magnetic field?

A. 0.1 T

B. 0.05 T

C. 2 T

D. 0.2 T

2. If the distance between the object and the screen is 1meter, a thin lens is put in between and moving, when the lens is 30 cm away from the object, a clear image is formed on the screen. How much is the focal length of this thin lens?

A. 0.048 m

B. 21 cm

C. 0.019 m

D. 52.5 cm

3. When light, starting in air, is shone on a piece of glass, what effects should you likely to observe?

A.Reflection

B. Refraction

C. Both reflection and refraction

D. Inversion

E. Conversion

1) You are studying staghorn sculpin within wetland creeks, and you use baited minnow traps separated by 10 meters. After an hour, you pull all your minnow traps up and count the number of sculpins found in each minnow trap. You organize the data in a frequency table seen below:

Suppose you have two strains of mice, S1 and S2. Strain S2 is genetically modified to metabolize a pharmacon P supposedly faster than S1. You conducted an experiment in a sample set of each strain, in which the pharmacon was injected and its concentration in blood was measured every 15min for 2h. Of course, age, gender, and weight was recorded for each animal. You want to statistically demonstrate that the metabolic rate of N is higher in S2 than S1. For simplicity, let us assume that the pharmacon is metabolized by a 0th order (linear) kinetic.

1. Describe a statistically correct and efficient approach for analyzing the data.

2. Which statistical model is suitable to address the question above? Explain how this model works and how results are interpreted.

3. A few animals die (e.g., due to toxic effects) during the experiment. How would you deal with this problem in the statistical analysis?

The following three columns of data represent observations (number of aphids killed per m²) following three pesticide treatments (A-C), with each treatment being “replicated” five times.

Analyse the strength of evidence for a treatment effect (A-C) if:

1. the experiment was completely randomised (i.e. rows have no meaning)

and alternatively if:

2. the experiment was in randomised spatial blocks, with observations from the same block being in the same row (i.e. 5.1, 5.7, 6.5 block 1; 8.2, 6.3, 8.1 block 2…). In this case the rows have meaning.

Why do you come to different conclusions about the effects of pesticide dependent on the method applied? In each instance, please provide a statement of the null hypotheses and alternates, the fitted equation, a qualitative summary of whether the model assumptions are met, and a conclusion

(10) 2. ESP (extra sensory perception) is the ability to read minds. We have a set of cards with each card having one of 5 shapes on them (square, rectangle, triangle, circle, question mark) and there are an equal number of each shape in the deck. We are going to select one card from the deck, stare at it and then there is a guy who claims he has ESP who is going to guess at the shape on the card we drew out (after each time we pull a card out – the ESP dude will make a guess- then we put the card back ). We did this experiment 250 times and we count how many times he guesses correctly

a) Why does this an experiment that fits the criterion of a binomial?

b) What is the mean, standard deviation and normal range for the number of times he guesses correctly

c) If he guesses 55 correct do you think he has ESP? Explain

An automobile manufacturer claims that its cars average more than 410 miles per tankful (mpt).
As evidence, they cite an experiment in which 17 cars were driven for one tankful each and
averaged 420 mpt. Assume σ = 14 is known.

a. Is the claim valid? Test at the 5 percent level of significance.

b. How high could they have claimed the mpt to be? That is, based on this experiment, what is the maximum value for µ which would have been rejected as an hypothesized value?

c. What is the power of the test in part (a) when the true value of µ is 420 mpt? (Hint: Your rejection region for part (a) was stated in terms of comparing Zobs with a cut-off point on the Z distribution. Find the corresponding x̅cut-off and restate your rejection region in
terms of comparing the observed x̅value with the x̅cut-off. Then assume H1 is true (i.e. µ
= 420 mpt) and find the probability that x̅is in the rejection region.)

     I-Multiplication Rules

1. How many different slats can be made. If the splint is composed of 4 letters and 3 digits.

2. How many special shuttle crews can be formed if: for pilot position, co-pilot and flight engineer there are (8) eight candidates, for two scientists one for solar experiment and one for stellar experiment there are (6) candidates and for two Civilians there are (9) candidates.

II-permutations and combinations

1. In a raffle where there are 10 possible numbers in each ball, if three pellets are extracted. How many ways is it possible to combine extracted numbers?

2. Ten people reach a row at the same time. How many ways can they be formed?

3. In a Olympiad there are 10 swimmers in a race, how many ways can arrive the first three places?

4. How many committees of three teachers can be made if there are 6 teachers to choose from?