Years ago, your great-grandparents lost a significant amount of money during a bank run in the Great Depression. As a result, it has always been important to you to keep your money secure and insured. You recently sold a business and now have $500,000 to set aside. You consult an investment advisor and he offers you some options. Because the safety of your money is the primary concern, the option you choose is:

A consumer magazine wants to figure out which of two major airlines lost a higher proportion of luggage on international flights. The magazine surveyed Standard Air (population 1) and Down Under airlines (population 2). Standard Air lost 45 out of 600 bags. Down Under airlines lost 30 of 500 bags. Does Standard Air have a higher population proportion of lost bags on international flights? Which of the following is the appropriate conclusion at the 5% significance level?

Paired Samples t-test (30pts)Suppose you are interested in deciding if a particular diet is effective in changing people’s weight. You decide to run a “within subject” experiment. You select 6 people and weight each of them. Two weeks, you weight them again. For each person, you compute how much weight they lost over this period. This is what you find:Non-diet(subject 1-6): 0,8,3,2,-10,-1.You then put them on the diet and weigh them again after two weeks and compute how much they lost over this period.Diet(subject 1-6) : 1,6,4,3, -8,2.

a) State the null and alternative hypotheses (2pts)

b) Compute the mean and standard deviation of the difference distribution (4pts)

c) How many degrees of freedom do you have? (3pts)

d) Assume the Null Hypothesis is True and compute the t-statistic (2-pts)

e) Compute the P-value (2pts)f) At an alpha = 0.05 would you accept or reject the null hypothesis? (3pts)

Suppose your research assistant screwed up and lost the information that linked the person’s identity across the two weight loss periods. This makes it impossible to run a paired t-test. Rather than start over:

a)Compute the mean and standard deviation of the two samples (2-pts)

b)Compute the two sample t-statistic (2pts)

c) How many degrees of freedom do you have(3pts)?

d) compute theP-value (4pts)

e) How does this P-value compare to the one you just computed using the paired ttest?(3pts)

Paired Samples t-test (30pts)Suppose you are interested in deciding if a particular diet is effective in changing people’s weight. You decide to run a “within subject” experiment. You select 6 people and weight each of them. Two weeks, you weight them again. For each person, you compute how much weight they lost over this period. This is what you find:Non-diet(subject 1-6): 0,8,3,2,-10,-1.You then put them on the diet and weigh them again after two weeks and compute how much they lost over this period.Diet(subject 1-6) : 1,6,4,3, -8,2.

a) State the null and alternative hypotheses (2pts)

b) Compute the mean and standard deviation of the difference distribution (4pts)

c) How many degrees of freedom do you have? (3pts)

d) Assume the Null Hypothesis is True and compute the t-statistic (2-pts)

e) Compute the P-value (2pts)f) At an alpha = 0.05 would you accept or reject the null hypothesis? (3pts)

Suppose your research assistant screwed up and lost the information that linked the person’s identity across the two weight loss periods. This makes it impossible to run a paired t-test. Rather than start over:

a)Compute the mean and standard deviation of the two samples (2-pts)

b)Compute the two sample t-statistic (2pts)

c) How many degrees of freedom do you have(3pts)?

d) compute theP-value (4pts)

e) How does this P-value compare to the one you just computed using the paired ttest?(3pts)

NO SOFTWARE OR EXCEL

Blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressure values were measured for a sample of 8 adults; the data are given below.

h) Perform a one-tail hypothesis testing to test the hypothesis that the systolic and diastolic pressures are independent to each other (Use ? = 0.05)

(i) Compute the p-value for the computed sample statistic (? ) in (h)

(j) If the systolic pressures of two people differ by 10 units, by how much would you have predicted their diastolic pressures differed?

(Use point values of the mean predictions) (Note: You cannot use any software applications. All the calculations need to be shown on paper. Failure to do so will result in a zero score.)

Binomial Hypothesis Test.

While this method is limited in the type of data it can handle (binary - "success/failure" outcomes), it is powerful in providing figures of authority with scientific information off of which to base important decisions.

There is a limitation to using this method and, statistically, this notion refers to the "power" of a test.

First, let's suppose that you are a disease outbreak coordinator for the Center for Disease Control and Prevention. A recent flu outbreak has led to a successful recovery without long-term problems with probability 93%. Your team runs a test in a small town and determines that, in 20 people, 19 successfully recovered. If you hypothesize that this small town has a higher recover rate, will you be able to reject the null hypothesis with alpha = 0.05? What if 20 successfully recovered? Provide your alpha-observed in both cases.

What your figures in the above two questions reveal is a lack of statistical power. That is, with such a huge probability of success and small sample size, it is hard to fall below the set level of alpha. One option proposed is to increase the sample size.

What is the smallest sample size needed so that it would be possible to reject the null hypothesis? Out of this sample size, how many "successes" would it take to fall in the cut-off region (i.e. alpha-observed <= alpha)?

a. The probability that the temperature will fall below 32 degrees Fahrenheit on any given day is 20%. If the temperature does fall below 32 degrees, then there is an 80% chance of ice/frost. What is the probability that on any given day, the temperature will fall below 32 degrees and there will be ice/frost?

(Input answer as a decimal, rounded to three decimal places if necessary

b.In the card game Pokemon, players must construct a 60-card deck to play the game. In one such deck, there are 11 Pokemon, 16 energies, and 33 trainers. If three cards are randomly selected from the deck, what is the probability that all of them will be trainer cards?

(Input answer as a decimal, rounded to three decimal places if necessary)

c.A random sample of working adults found that 37% access the internet at work, 44% access the internet at home, and 21% access the internet at both work and home. What is the probability that a person in this sample selected at random accesses the Internet at work given that they access the internet at home?

d.A campus committee consists of 11 employees. We must choose 4 of these employees to
complete a task by the end of next week. How many ways can we choose a group to complete the task?

e.John runs a computer store. Yesterday he counted 116 who walked by his store, of whom 66 came into the store. Estimate the probability that a person who walks by the store will enter the store.

f.A store owner opens up a large shipment of shirts of various colors. It is found that the shipment has approximately 57% blue shirts. An employee of the store randomly selects five shirts to put on display. Find the probability that at least one of the selected shirts is blue.

For each event record the Journal entry relating to the event and display                              
the equity section after the event                                              
Event:                                                          
1   authorized 2.1 millions of common stock $25 par value                                  
2   sell 820,000 share for net proceeds of $40 per share                                  
3   issue for legal services rendered to set up company 4000 shares, market @ issue = $45/share                  
4   issue 100,000 of preferred stock $5 par for $50, $4/share cumulative dividend                      
5   record first year net income $2400,000                                      
6   No dividends that first year                                              
7   no dividends the next year [ 2 years without dividends ]                                  
8   record net income for third year of $1500,000 [-0- net income yr. 2]                          
9   Declare & pay preferred & common dividends of $1800,000 [can shop as one or two JE's]                  
note: show how much per share dividends for common & preferred paid                      
10   Buy back 125,000 common shares @ $35/share                                  
11   buy back 50,000 common shares @ $65/share                                      
12   buy land with market value of $8000,000 for 110,000 shares from treasury [use average price per share] with a share market value of $70

please type

7) Which IPv6 address is valid? (Select all Valid choices)

a) 2031:0::9C0:876A:130B                   
b) 2001:0DB8:0000:130F:0000:0000:08C:140B
c) 2001:0DB8:0:130:87C:140B::
d) 2031::9C0:876A:130B:

8) Which of the following are valid Private IP addresses? (Select all Valid choices)

1. 172.32.1.1

2. 10.255.255.255

3. 168.192.0.255

4. 192.169.0.1

9) Which of the following is a valid node IP address? (Select all Valid choices)

a) 15.10. 255.1 /8 b) 20.10.1.0/16 c) 1.1.1.254 /24 d) 222.222.222.250 /24

10) Which of the following is a private IP address range? (Select one or more Valid choices)

a) 171.31.1.200

Top Notch Limited has $750,000 to invest and is trying to decide between two alternative uses of the funds. The alternatives are as follows:

The working capital needed for Project B will be released for investment elsewhere at the end of seven years. Top Notch uses a 20% discount rate.

Required:
a. Calculate net present value for each project. (Hint: Use Microsoft Excel to calculate the discount factor(s).) (Negative answers should be indicated by a minus sign. Do not round intermediate calculations. Round the final answer to the nearest whole dollar. Do not leave any empty spaces; input a 0 wherever it is required.)

** Please show the formulas on how to calculate each number in steps **