question: Draw a MPLS diagram with the following requirements: [ 2 + 8 = 10 marks]

1. 10 IPv6 routers: 4 routers in one segment, 3 routers in second segment, 1 router to connect these two segments

2. Explain MPLS operation in above network.

Instructions: For each of the following research designs, identify the dependent and independent variables.

1. To investigate the effects of exercise on mathematical problem-solving ability, a researcher assigned subjects to one of two groups. One group did 50 jumping jacks and the other group did 200. After exercising, both groups did a set of math problems,

2. A researcher hypothesized that talking to plants enhances their growth. To test her hypothesis, she gave two plants the same amount of food, water, and sunlight, but she talked to one plant and not the other.

3. In order to study the relationship between neonatal exercise and motor development, a professor randomly assigns 50 one-week-old infants to Group A or Group B. The 25 infants in Group A participate in a daily 15-minute exercise program. The infants in Group B are not exposed to anything beyond their normal daily activities. Twice a month for an entire year, subjects from both groups are given a motor-skills test.

4. An experimenter wants to study the relationship between breast-feeding and Infant Formula X in underdeveloped countries. She randomly assigns 300 infants to Group A or B and weights the infants every three days for the first four weeks of life.

5. Two groups of subjects were told they were going to receive electric shocks as part of a learning experiment. One group was told that the shocks would be relatively painful. The other group was told that the shocks would be mild and produce a gtickling sensation.h The subjects were then asked if they wished to wait individually or with a group while the shock machinery was being set up.

6. One half of the General Psychology students completed computerized instruction exercises. The remaining half spent an equal amount of time reviewing the text and lecture notes. Both groups were tested on the course information.

From a cross-sectional life table provided, please answer the following questions below: Age group nQx lx ndx Lx Tx ?? 0-4 0.02592 100000 5-9 0.0042 10-14 0.00232 15-19 0.00201 20-24 0.00443 25-29 0.00611 30-34 0.00632 35-39 0.00654 40-44 0.01098 45-49 0.01765 50-54 0.02765 55-59 0.04387 60-64 0.05987 65-69 0.09654 70-74 0.13654 75-79 0.18765 80-84 0.47898 85-89 0.57908 90+ 1 (a) Calculate the following column heading: lx, ndx ,Lx ,Tx and ex [12 marks] (b) What age would you expect a person to live (on average) once he/she has attained the age of 15 years? [3 marks] Question 2 [25 marks]

A one-way within-subjects ANOVA was carried out on a set of data with 4 groups of 6 subjects each. The responses are presented in the following table:

1. Complete the ANOVA table (show the work as well)

2. Find and report the critical value(s) and make the statistical decision for F statistic; and perform post-hoc test, if applicable.

A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive. Assume that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%.

A) Is the sample size large enough to justify the use of the Z formula?

B) Test if the proportion of the prevalence of HIV has changed (is equal to 7.5%). Use ? = 0.05.

C) Calculate the 95% two-sided confidence interval for p and make a conclusion about H0.

Carry probabilities to at least four decimal places for intermediate steps.

For extremely small probabilities, it is important to have one or two significant non-zero digits, for example, 0.000001 or 0.000034.

Round off your final answer to two decimal places.

*Show all intermediate steps*

Rework problem 13 from section 3.2 of your text, involving Example 3.9, with the changes described below. Suppose you have a bag containing one black ball numbered 1, six white balls numbered 2, 3, 4, 5, 6, 7, and seven red balls numbered 8, 9, 10, 11, 12, 13, 14. Fill each of the following blanks with a Y for yes or an N for no: (1) Is the event "drawing a black ball" independent from the event "drawing an even-numbered ball"? (2) Is the event "drawing a black ball" independent from the event "drawing an odd-numbered ball"? (3) Is the event "drawing a white ball" independent from the event "drawing an even-numbered ball"? (4) Is the event "drawing a white ball" independent from the event "drawing an odd-numbered ball"? (5) Is the event "drawing a red ball" independent from the event "drawing an even-numbered ball"? (6) Is the event "drawing a red ball" independent from the event "drawing an odd-numbered ball"?

Low-fat or low-carb? Are low-fat diets more effective for weight loss? A sample of

58

subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was

3.2

kilograms with a sample standard deviation of

5.42

kilograms. A second sample of

60

subjects went on a low-fat diet. Their sample mean weight loss was

2.4

kilograms with a standard deviation of

4.48

kilograms. Can you conclude that the mean weight loss differs between the two diets? Let

μ1

denote the mean weight lost on the low-carb diet and

μ2

denote the mean weight lost on the low-fat diet. Use the

=α0.05

level and the

P

-value method.

Part 1 of 6

Your Answer is correct

State the appropriate null and alternate hypotheses.

Part 2 of 6

Your Answer is incorrect

Compute the test statistic. Round the answer to three decimal places.

=t

4.826

Correct Answer:

=t0.872

Part: 2 / 6

2 of 6 Parts Complete

Part 3 of 6

How many degrees of freedom are there, using the simple method?

Easy Car Corp. is a grocery store located in the Southwest. Next year dividend is ​$2.00 and plans to increase the dividend annually at the rate of 3.0​%. It currently has 1,000,000 common shares outstanding. The shares currently sell for ​$10 each. Two years ago, Easy Car Corp. issued 40,000 semiannual 20-year bonds with a coupon rate of 8​% and a par value of ​$1,000. The bonds currently have a yield to maturity​ (YTM) of 11%. What is the weighted average cost of capital (WACC) for Easy Car Corp. if the corporate tax rate is 40%?

When answering this problem enter your answer using percentage notation but do not use the % symbol and use two decimals (rounding). For example, if your answer is 0.10469 then enter 10.47; if your answer is 10% then enter 10.00

Roll two dice simultaneously once. Let A be the event that the sum of the two dice is 8 and B be the event that at least one of the dice is odd.

a) Find P(A) and P(B). Express your answer as a FRACTION.

b) Find P(A given B) and P(B given A). Express your answer as FRACTIONS. Are A and B independent? Explain.

c) Find P(A and B). Express your answer as a FRACTION.

d) Find P(A or B). Express your answer as a FRACTION.