You have just isolated a new strain of Gram negative bacteria that can catabolize the sugar aspartame. Genome comparisons to all other strains don't provide any insight into the identity of this pathway. 1) Describe an experiment to identify the pathway coding for aspartame catabolism 2) Describe an experiment to move this pathway into E. coli 3) Given what we learned in class, describe how this pathway is likely positively regulated and where promoter sequence would be 4) Describe an experiment to phenotypically confirm how this pathway is regulated using a SCREEN involving styrene catabolism 5) Describe an experiment to phenotypically confirm how this pathway is regulated using a SELECTION involving LacZ

Please list relevant strain/plasmid names, or draw/describe your own custom plasmids for these experiments

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?

Suppose you heard from a friend that only 75% of people pass Math 1044. In disbelief, you poll 50 randomly selected Math 1044 students and find that 43 of them passed. Answer the following questions with a significance threshold of α = 0.05. You may assume the success-failure conditions hold.

(a) What is the null hypothesis, H0, for this experiment?

(b) What are two valid alternative hypotheses, Ha for this experiment?

(c) Compute the p-value for this experiment using a one-tailed test.

(d) Would we accept or reject H0 using the one-tailed p-value? Justify.

(e) Compute the p-value for this experiment using a two-tailed test.

(f) Would we accept or reject H0 using the two-tailed p-value? Justify.

Suppose that five different methods are used to refine an oil product. Each method may result in a different viscosity of the product. Each method is applied to one barrel of oil at a time which results in one batch of product. A company wants to use the method which results in the lowest viscosity, and they want to design an experiment to test this.

a) What are the experimental units in this experiment?

b) What are the treatments?

c) What is the response variable?

d) Suppose that 4 different plants use each of these 5 methods. Each plant is willing to be involved in the experiment. Each plant will produce 10 batches. Explain how the use of blocking should be incorporated into our experiment and how the randomization is to be done. (Give a simple table with the units at each plant labeled from 1 to 10.)

Following are the post-lab questions for the experiment: Magnetic Behavior and Electron Configuration of Compounds Version

1. Chromium, Cr, has 24 electrons. Write out the entire electron configuration for chromium using spdf notation.

2. How many unpaired electrons would you expect for chromium in [Cr(H2O)6] 3+? Is this a paramagnetic or diamagnetic material?

3. Cobalt, Co, has 27 electrons. Write out the entire electron configuration for cobalt using spdf notation.

4. How many unpaired electrons would you expect for manganese in KMnO4? Is this a paramagnetic or diamagnetic material?

5. This same experiment is performed on the international space station. What is the primary issue with performing this experiment in the absence of gravity? Design an experiment to compensate for this. As always, you do have duct tape.

Let vectors u and v form a basis in some plane, in each of the following cases determine if the vectors e1 and e2 for a basis in this plane:

a)e1=u+v e2=u-v b)e1=-u+2v e2=3u-6v

substantiate your decision

In each case below either show that the statement is True or give an example showing that it is False.

(V) If {x1, x2, . . . xk, xk+1, . . . xn} is a basis of R n and U = span{x1, . . . xk} and V = span{xk+1 . . . xn}, then U ∩ V = {0}.

Let U, V be iid Unif(0, 1) random variables, and set
M = max(U,V) and N = min (U,V)

(a) Find the conditional density of N given M = a for any value of a ∈ (0, 1).

(b) Find Cov(M, N).

Holiday meals from different traditions include seafood, ham, beef, vegetarian, turkey, or other fowl and various side dishes. A survey of US families revealed that 58% of all families eat turkey at holiday meals ("T"), 42% eat vegetarian dishes ("V"), and 19% have both turkey and vegetarian dishes to eat at holiday meals. A family is selected at random. (Drawing shaded Venn diagrams may help determine the probabilities in the questions.)

a) What is the probability that the selected family had vegetarian dishes or a turkey?

b)What is the probability that the selected family had neither vegetarian dishes nor turkey?

c)What is the probability that the selected family had turkey but no vegetarian dishes?

d)"Families having turkey are disjoint from the families having vegetarian dishes." This statement is:

-True because P(T and V) ? -P(T)×P(V)
- False because P(T and V) ? P(T)×P(V)
-True because P(T and V) ? 0
-False because P(T and V) ? 0