A math class consists of 28 students, 13 female and 15 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected? A math class consists of 28 students, 13 female and 15 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?

A large company is conducting an experiment to determine if a new mental training program will benefit worker productivity. Because the company has a large number of employees it is more cost effective to randomly select employees to participate in the training program. Thirty-six employees are randomly se- lected for the experiment, with twenty employees assigned to the new program and the remainder assigned to the placebo. The company determine the scores for each group and notices there are no outliers within either group. The group receiving the new training has a mean productivity time of 72.26 minutes with a standard deviation of 20.80 minutes while the placebo group has a mean pro- ductivity time of 86.44 minutes with a standard deviation of 26.20 minutes. Due to the cost of retraining all employees, the company would like to be certain the program is working; therefore they are only willing to risk being wrong 1% of the time. Is the program working? Construct a 98% estimate for the difference in the two programs.

A large company is conducting an experiment to determine if a new mental training program will benefit worker productivity. Because the company has a large number of employees it is more cost effective to randomly select employees to participate in the training program. Thirty-six employees are randomly se- lected for the experiment, with twenty employees assigned to the new program and the remainder assigned to the placebo. The company determine the scores for each group and notices there are no outliers within either group. The group receiving the new training has a mean productivity time of 72.26 minutes with a standard deviation of 20.80 minutes while the placebo group has a mean pro- ductivity time of 86.44 minutes with a standard deviation of 26.20 minutes. Due to the cost of retraining all employees, the company would like to be certain the program is working; therefore they are only willing to risk being wrong 1% of the time. Is the program working? Construct a 98% estimate for the difference in the two programs.

1. write a hypothesis for this chart?

. Restate your hypothesis here:

4. Does the data in the table above support your hypothesis for this experiment? Be sure to use

    your data in explaining whether the hypothesis was supported or not.

5. Explain how the tail length trait was influenced by natural selection in your experiment.

   If you could not discover this from the simulation, propose a possible situation where a long tail would provide a   

     selective advantage for bunnies and explain WHY it would be an advantage.

A classic experiment in equilibrium studies dating from 1862 involved the reaction in aqueous solution of ethanol and acetic acid to produce ethyl acetate and water.

C₂H₅OH (aq) + CH₃COOH (aq) <---> CH₃COOC₂H₅ (aq) + H₂O (l)

The reaction can be followed by analyzing the equilibrium mixture for its acetic acid content using a titration with Ba(OH)₂ as shown below:

2CH₃COOH (aq) + Ba(OH)₂ (aq) ---> Ba(CH₃COO)₂ (aq) + 2H₂O (l)

In one experiment, a mixture of 1.000 moles acetic acid and 0.5000 moles ethanol is brought to equilibrium in a 1.000 L flask. A 20.00 mL sample of the equilibrium mixture requires 56.74 mL of 0.1000 M Ba(OH)₂ for its titration.

What is the concentration of the acetic acid found in the titration?

What is the mass action expression for the reaction of ethanol and acetic acid?

What is the value of the equilibrium constant for the reaction of ethanol and acetic acid?

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: