Two years ago, a political party ASR received 9:8% of the votes in an election. To study the current political preferences, a statistical research institute plans to organise a poll by the end of the present year. In this study, n voters will be interviewed about the political party they prefer. Below, p, denotes the proportion of voters that would vote ASR if the elections were held now. Furthermore, bp denotes the (random) sample proportion of the ASR voters.

(a) Suppose that n = 500. Determine an interval that with probability 0:90 will contain the (not yet observed) realisation of bp if p were the same as two years ago. (6)

(b) Find random bounds (depending on p) that will include the proportion p with probability 0:95. Express the width of the accompanying interval in terms of p and n. (4)

(c) The interval in part (b) will be the starting point to create, at the end of the current year, when the data are observed, an interval that will probably contain the proportion p. How large should the sample size be to obtain an interval width about 0:02? (Hint: Substitute the former proportion 0:098 for p in the width of part (b).) (5)

(d) At the end of the year, n randomly chosen voters are interviewed with n as calculated in part (c); the realisation of bp turns out to be 0:853. Use the interval in part (b) as a starting point to create an interval that will probably contain the population proportion p. Is the width of that interval indeed about 0:02? (5)

Using a two year semiannual 8% coupon bond, 1000 par, with a 5% YTM. For this question find all answers to at least the 6th decimal place.

Calculate the price of this bond

Calculate duration and modified duration

Price the same bond with a YTM of 6% and 10% as you did in the first part

a) A sample of 8 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

SSR=66, SST=86

Calculate an unbiased estimate of the variance of the error term epsilon.

b) A sample of 11 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

SSE=22, SSR=64

Calculate the coefficient of determination for the developed estimated regression equation.

c) A sample of 11 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

SSR=76, SST=83,  summation (x_i-xbar)²=25, summation (x_i-xbar)(y_i-ybar)=49.

Calculate the t test statistics to determine whether a statistically linear relationship exists between x and y.

d)

A sample of 8 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

SSR=73, SST=86

Calculate the F test statistics to determine whether a statistically linear relationship exists between x and y.

Proka is evaluating two projects for investment purposes. The required return for each project is 8 percent and the cash flows are listed below:

1. Calculate the net present value for each stream

2. Calculate the net present value of each cash flow stream at 0 percent discount rat

Two induction coils are wound on the same form as shown in Figure 8. Explain what the symbols L1, L2, M refer to, and explain the significance black dots shown. [5 marks] Figure 8: Self-inductances and mutual inductance  

A two-year, 8% coupon bond with a face value of $1,000 has a current price of $1,000. Assume that the bond makes annual coupon payments. The term structure of interest rates is flat.

(a) What is the bond’s yield-to-maturity?

(b) Using the concept of duration, find the approximate percentage change in the price of the bond if the yield-to-maturity drops by 1%.

(c) Compared with the coupon bond in this problem, would the price of a two-year, U.S. Treasury STRIP change more or less in response to the change in interest rates? Why?

3. Determine the available strength of two 3/8 in fillet welds that are loaded parallel to their length, are 10 inches long and are made from E70 electrodes. Determine the design strength by (a) LRFD and (b) ASD. [10.11- 25]

4. If the welds of the problem #3 above were loaded at their centroid and at 90 degrees to the weld length, determine the design strength by (a) LRFD and (b) ASD. [10.11- 29]

There are 8 dimensions of effective Microsystems. Which two (2) do you believe are the most important and why? Please provide examples to illustrate your position. Don’t forget to cite sources to support your position.

According to the Harvard Business Review, The 8 Types of Company Culture. Explain two factors in terms of cultural norms and two dimensions ( how people respond to change and how people interact). Use real life experiences!
Caring, Results, Purpose, Learning, Enjoyment, Authority, Safety, and Order are the 8 types. Explain