You are investigating two sensors to use in an experiment. Sensor A has area 600 ± 0.3 mm2 and the gap thickness is 0.3 ± 0.01 mm. Sensor B has area 400 ± 0.25 mm2 and the gap thickness is 0.2 ± 0.02 mm. Estimate the relative (hint: this is a %) and absolute uncertainties (hint: this has units of capacitance) in capacitance for both sensors. Your experiment requires that the capacitance is measured accurately within 5%. Which would you select for your experiment? Justify your response.

C = 8.85 × 10^?15 F/mm A/t

Let (Ω, F , P) be a probability space. Suppose that Ω is the collection of all possible outcomes of a single iteration of a certain experiment. Also suppose that, for each C ∈ F, the probability that the outcome of this experiment is contained in C is P(C).
Consider events A, B ∈ F with P(A) + P(B) > 0. Suppose that the experiment is iterated indefinitely, with each iteration identical and independent of all the other iterations, until it results in an outcome that is an element of A ∪ B, after which it stops. What is the probability that this procedure results in an outcome that is an element of A? Do not use conditional probability to answer this question.

Using R-studio

2. Consider an experiment where we flip a fair coin six times in a row, and i is the number of heads tossed:

            a.         Calculate the probability mass function for i = 0. . . 6 using the equation from Ross section 2.8 for Binomial Random Variables

            b.         Conduct a simulation of this experiment in R, with T trials of the experiment – pick several values of T from 10 to 10,000.

            c.         Create a plot of the theoretical result vs. your simulation at T = 100 and T = 10,000. Show that they converge as T increases.

possibility tree

One box contains two black balls (labeled B1 and B2) and one white ball. A second box contains one black ball and two white balls (labeled W1 and W2). Suppose the following experiment is performed: One of the two boxes is chosen at random. Next a ball is randomly chosen from the box. Then a second ball is chosen at random from the same box without replacing the first ball.

a. Construct the possibility tree showing all possible outcomes of this experiment.

b. What is the total number of outcomes of this experiment?

Say you design a PCR experiment with normal temperature settings and reagent amounts (primers, dNTPs, polymerase) for 20 cycles. You want to adjust your experiment so that it will increase the amount of DNA produced. Which of the following adjustments to the experiment will increase the amount of DNA amplified during PCR?

Group of answer choices

You increase the length of the primers.

You increase the temperatures in all of the steps.

None of these adjustments will increase the amount of DNA produced through PCR.

You run 5 extra cycles.

You double the amount of dNTPs.

Question: A researcher has used a complex design to study the effects of caffeine (caffeinated and decaffei...

A researcher has used a complex design to study the effects of caffeine (caffeinated and decaffeinated) and problem difficulty (easy and hard) on subjects’ memories. The researcher tested a total of eighty subjects, with twenty subjects randomly assigned to each of the four groups resulting from the factorial combination of the two independent variables. The data presented in the table represent the percentage words that subjects recalled correctly in each of the four conditions.

1. Is there evidence of a possible interaction in this experiment?

2.What aspects of the results of this experiment would lead you to be hesitant to interpret an interaction, if one were present in this experiment?

3.How could the researcher modify the experiment so as to be able to interpret an interaction if it should occur?

Question: A researcher has used a complex design to study the effects of caffeine (caffeinated and decaffei...

A researcher has used a complex design to study the effects of caffeine (caffeinated and decaffeinated) and problem difficulty (easy and hard) on subjects’ memories. The researcher tested a total of eighty subjects, with twenty subjects randomly assigned to each of the four groups resulting from the factorial combination of the two independent variables. The data presented in the table represent the percentage words that subjects recalled correctly in each of the four conditions.

1. Is there evidence of a possible interaction in this experiment?

2.What aspects of the results of this experiment would lead you to be hesitant to interpret an interaction, if one were present in this experiment?

3.How could the researcher modify the experiment so as to be able to interpret an interaction if it should occur?

Experiment 3: DNA Extraction 1. What is the texture and consistency of the DNA? 2. Why did we use a salt in the extraction solution? 3. Is the DNA soluble in the aqueous solution or alcohol? 4. What else might be in the ethanol/aqueous interface? How could you eliminate this? 5. Which DNA bases pair with each other? How many hydrogen bonds are shared by each pair? 6. How is information to make proteins passed on through generations? 7. Watch the Virtual Lab demonstrating DNA Extraction (located in the Student Portal and/or your lab introduction). In this experiment, how do the Lysis Solution and the Salt Solution vary by function? 8. Identify one step which was included in the Virtual Lab which was not required in the hands-on experiment. Then, identify one step which was included in the hands-on experiment, but not the virtual lab. Why weren’t these steps required?

Dr. M is doing a secret study to see how much anxiety affects performance in a statistics class. He treats two sections of statistics students exactly the same except that one section is taught progressive relaxation skills. It is Dr. M’s hypothesis that these skills will reduce anxiety and thus improve academic performance as measured by the students’ final grades in the course.

What is Dr. M’s independent variable?

What is Dr. M’s null hypothesis?

What is Dr. M’s experimental design?

What type of hypothesis is Dr. M using?

What is an example of a demand characteristic that could pop up in Dr. M’s experiment?

What is an example of a possible experimenter bias that could pop up in Dr. M’s experiment?

How many factors are there in Dr. M’s experiment?

How many levels are there in Dr. M’s experiment?

EXPERIMENT #6 DETERMINATION OF THE CONCENTRATION OF TARTARIC ACID IN WINE

1. Why must the sodium hydroxide concentration be reported to four significant figures? Why not use only two significant figures?

2. In the procedure, you added approximately 15 mL of water to each Erlenmeyer flask. Why did the exact volume of water not matter? What impact would accidentally adding 17 mL of water have on the results? Be prepared to explain.

3. Explain the significance of the value for relative standard deviation in the context of this experiment.

4. Explain the significance of the value for percent error in the context of this experiment.

5. The stoichiometric ratio in this experiment is 1:2. Determine how the calculation set-ups would change for the reaction between:

HNO3 (aq) + NaOH (aq) = H2O (l) + NaNO3 (aq) OR

H3C5H5O6 (aq) + 3 NaOH (aq) = 3 H2O (l) + Na3C5H5O6 (aq)