Using the data in the following table, answer parts (i) – (v).

1. Estimate the average return for each stock.   
2. Calculate the standard deviation of returns for Stocks X and Y.   
3. For a portfolio that is 75% weighted in Stock X, and 25% weighted in Stock Y, calculate the expected return of the portfolio.   
4. Calculate the standard deviation of your portfolio based on the weights of Stocks X and Y stated in part (iii).  
5. Suppose the correlation between Stocks X and Y has reduced to 0.35, does it increase or reduce the standard deviation of your portfolio based on the weights of Stocks X and Y stated in part (iii). Explain your answer.

Transverse waves on a string have wave speed v = 8.00 m/s, amplitude A = 0.0700 m, and wavelength λ = 0.320 m. The waves travel in the -x direction, and at t = 0 the x =0 end of the string has its maximum upward displacement.

1) Find the frequency of these waves.

2) Find the period of these waves.

3) Find the wave number of these waves.

4) Write a wave function describing the wave. Express your answer in terms of x and t. Use π as constant.

5) Find the transverse displacement of a particle at x = 0.360 m at time t = 0.150 s. Express your answer in meters.

6) How much time must elapse from the instant in part E until the particle at x = 0.360 m next has maximum upward displacement? Express your answer in seconds.

In Drosophila, the X-linked recessive mutation vermillion (v) causes bright red eyes, in contrast to the brick-red eyes caused by the wild-type allele. A separate autosomal recessive mutation, brown (bw), causes flies to have brown eyes. Flies with both mutations have no eye pigmentation and are white-eyed. Determine the F1 and F2 phenotypic ratios for each sex from the following crosses:

(a) vermillion females X brown males

(b) wild-type females X white-eyed males

Examine and summarize the case of Tinker v. Des Moines Independent Community School District. In your paper explain the background of the case, the progression of the case to the Supreme Court, the Supreme Court’s decision and justification for the ruling as it relates to State control over schools. Compare and contrast the decisions of the various courts and how the case progressed. What might be a similar situation today? Why is this considered such an important case? Your paper should be 3-5 pages in length. Use the items listed in these instructions as subheadings.

Read Case Summary 3.7 Mosher v. Benson on page 85. This case is about a 17 year old who purchased a car from an adult. The 17 year old (Mosher) asked to have the transaction reversed on the basis that he was a minor at the time of the contract.

Answer the following questions:

1. This case is from the province of Nova Scotia. How would this case likely be resolved in a British Columbia court? Answer this question by describing the relevant law in British Columbia.

2. Do you believe that a car should be considered a necessity? Why or why not? Consider what the definition of a necessity is in your answer.

Castaneda v. Partida is an important court case in which statistical methods were used as part of a legal argument. When reviewing this case, the Supreme Court used the phrase "two or three standard deviations" as a criterion for statistical significance. This Supreme Court review has served as the basis for many subsequent applications of statistical methods in legal settings. (The two or three standard deviations referred to by the Court are values of the z statistic and correspond to P-values of approximately 0.05 and 0.0026.) In Castaneda the plaintiffs alleged that the method for selecting juries in a county in Texas was biased against Mexican Americans. For the period of time at issue, there were 180,500 persons eligible for jury duty, of whom 142,600 were Mexican Americans. Of the 893 people selected for jury duty, 347 were Mexican Americans.

(a) What proportion of eligible voters were Mexican Americans? Let this value be p_o. (Round your answer to four decimal places.)
___________

(b) Let p be the probability that a randomly selected juror is a Mexican American. The null hypothesis to be tested is H_o: p = p_o. Find the value of p̂ for this problem, compute the z statistic, and find the P-value. What do you conclude? (A finding of statistical significance in this circumstance does not constitute a proof of discrimination. It can be used, however, to establish a prima facie case. The burden of proof then shifts to the defense.) (Use α = 0.01. Round your test statistic to two decimal places and your P-value to four decimal places.)

Conclusion

Reject the null hypothesis, there is significant evidence that Mexican Americans are underrepresented on juries.

Reject the null hypothesis, there is not significant evidence that Mexican Americans are underrepresented on juries.     

Fail to reject the null hypothesis, there is not significant evidence that Mexican Americans are underrepresented on juries.

Fail to reject the null hypothesis, there is significant evidence that Mexican Americans are underrepresented on juries.

(c) We can reformulate this exercise as a two-sample problem. Here we wish to compare the proportion of Mexican Americans among those selected as jurors with the proportion of Mexican Americans among those not selected as jurors. Let p₁ be the probability that a randomly selected juror is a Mexican American, and let p₂ be the probability that a randomly selected nonjuror is a Mexican American. Find the z statistic and its P-value. (Use α = 0.01. Round your test statistic to two decimal places and your P-value to four

Z _______

Conclusion

Reject the null hypothesis, there is significant evidence of a difference in proportions.

Reject the null hypothesis, there is not significant evidence of a difference in proportions.     

Fail to reject the null hypothesis, there is not significant evidence of a difference in proportions.

Fail to reject the null hypothesis, there is significant evidence of a difference in proportions.

How do your answers compare with your results in (b)?

very different

very similar     

none of the above

For each reaction listed, determine its standard cell potential (in V) at 25°C and whether the reaction is spontaneous at standard conditions.

(a) 2 Au(s) + 3 Zn2+(aq) → 2 Au3+(aq) + 3 Zn(s)

(b) Co²⁺(aq) + Hg(l) → Co(s) + Hg²⁺(aq)

(c) Cu(s) + Fe(NO₃)₃(aq) → CuNO₃(aq) + Fe(NO₃)₂(aq)

(d) Sn(NO₃)₂(aq) + Zn(s) → Sn(s) + Zn(NO₃)₂(aq)

In the discrimination case Connecticut v. Teal, the following data were given concerning a CT state agency's record of employees rejected or selected for promotion.

In discrimination cases, sometimes the blacks and whites described in such a table are viewed as samples from theoretical populations that might result if large numbers of blacks and whites were considered for promotion by the agency. Test the claim that the population of whites selected for promotion is larger than that of blacks at 2.5% level of significance.

L. Bowers and V. Lipscomb are partners in Elegant Event Consultants. Bowers and Lipscomb share income equally. M. Ortiz will be admitted to the partnership. Prior to the admission, equipment was revalued downward by $22,000. The capital balances of each partner are $74,000 and $101,000, respectively, prior to the revaluation.

a. Provide the journal entry for the asset revaluation. For a compound transaction, if an amount box does not require an entry, leave it blank.

b. Provide the journal entry for Ortiz’s admission under the following independent situations:

1. Ortiz purchased a 20% interest for $33,000. For a compound transaction, if an amount box does not require an entry, leave it blank.

2. Ortiz purchased a 30% interest for $83,000. For a compound transaction, if an amount box does not require an entry, leave it blank.