Child Tax Credit (LO 6.1) Calculate the child tax credit for the following taxpayers. Round any division "up" to the nearest whole number.

a. Jeremy is a single (head of household) father with $80,100 of AGI and has a dependent 8-year-old son: $

b. Jerry and Ann have $100,000 of AGI, file jointly, and claim two dependent preschool children: $

c. James and Apple have AGI of $118,250, file jointly, and claim two dependent children (ages 7 and 10): $

Please show me all the solutions to these problems.

6. Convert 500 CFM (cubic feet per minute) to gallons per day.

7. An eight-ounce cup of Starbuck’s cappuccino has 75 mg of caffeine. How many
grams of caffeine are in 3 gallons of cappuccino? There are two cups in a pint, two
pints in a quart and 4 quarts in a gallon.

8. Express 150 ng in μg.

9. Express 81 mg in μg.

10. Express 13 μm in nm.

Part II Short Essay Questions Take care to express your thoughts in logical, well-organized form. Answer the following question in well-developed paragraphs.

A. Define what is meant by a death system. Then identify and explain some of the 1) elements and 2) functions of a death system. Two paragraphs (8 points)

B. Provide a detailed definition of grief, bereavement and mourning; using examples, explain how they are similar, unrelated, or different. Two paragraphs (7 points)

A sociologist is interested in the voting rates of males and females. Two hundred males and two hundred females are randomly sampled. Of these, seventy percent of males and sixty percent of females voted in the last election. Construct a 95% confidence interval around the difference in the proportion of men and women in the population who voted in the last election.

Test the null hypothesis that, in the population, there is no difference in the proportion of men and women who voted in the last election. Use a significance level of .05.

What can you conclude about the relationship between the two variables in this example? (That is, is the relationship statistically significant?).

c++

Redefine CDAccount from Display 10.1 so that it is a class rather than a structure. Use the same member variables as in Display 10.1 but make them private. Include member functions for each of the following: one to return the initial balance, one to return the balance at maturity, one to return the interest rate, and one to return the term. Include a constructor that sets all of the member variables to any specified values, as well as a default constructor. Embed your class definition in a test program.

10.1 display

#include <iostream>
3 using namespace std;
4 //Structure for a bank certificate of deposit:
5 struct CDAccount
6 {
7 double balance;
8 double interestRate;
9 int term; //months until maturity
10 };
11
12
13 void getData(CDAccount& theAccount);
14 //Postcondition: theAccount.balance and theAccount.interestRate
15 //have been given values that the user entered at the keyboard.
16
17
18 int main( )
19 {
20 CDAccount account;
21 getData(account);
22
23 double rateFraction, interest;
24 rateFraction = account.interestRate / 100.0;
25 interest = account.balance * rateFraction * (account.term / 12.0);
26 account.balance = account.balance + interest;
27
28 cout.setf(ios::fixed);
29 cout.setf(ios::showpoint);
30 cout.precision(2);
31 cout << "When your CD matures in "
32 << account.term << " months,\n"
33 << "it will have a balance of $"
34 << account.balance << endl;
35 return 0;
36 }
37
38 //Uses iostream:
39 void getData(CDAccount& theAccount)
40 {
41 cout << "Enter account balance: $";
42 cin >> theAccount.balance;
43 cout << "Enter account interest rate: ";
44 cin >> theAccount.interestRate;
45 cout << "Enter the number of months until maturity\n"
46 << "(must be 12 or fewer months): ";
47 cin >> theAccount.term;
48 }

1. Suppose box 1 has four black marbles and two white marbles, and box 2 has two black marbles and five marbles. If you picked one marble from one of the two boxes at random, what it the probability that you picked from box 1 given that the marble you picked is black?

2. A raffle has 5000 tickets with the following prizes: 1 ticket has $2000 prize, 10 tickets have $200 prize, and 20 tickets have $50 prize and 500 tickets have a $20 prize. If to buy a ticket costs $15, and X is the random variable that measures net profit:

1. Calculate the pdf table of X
2. Calculate E(X), Var(X)

id sex status income verbal gamble 1 1 51 2 8 0 2 1 28 2.5 8 0 3 1 37 2 6 0 4 1 28 7 4 7.3 5 1 65 2 8 19.6 6 1 61 3.47 6 0.1 7 1 28 5.5 7 1.45 8 1 27 6.42 5 6.6 9 1 43 2 6 1.7 10 1 18 6 7 0.1 11 1 18 3 6 0.1 12 1 43 4.75 6 5.4 13 1 30 2.2 4 1.2 14 1 28 2 6 3.6 15 1 38 3 6 2.4 16 1 38 1.5 8 3.4 17 1 28 9.5 8 0.1 18 1 18 10 5 8.4 19 1 43 4 8 12 20 0 51 3.5 9 0 21 0 62 3 8 1 22 0 47 2.5 9 1.2 23 0 43 3.5 5 0.1 24 0 27 10 4 156 25 0 71 6.5 7 38.5 26 0 38 1.5 7 2.1 27 0 51 5.44 4 14.5 28 0 38 1 6 3 29 0 51 0.6 7 0.6 30 0 62 5.5 8 9.6 31 0 18 12 2 88 32 0 30 7 7 53.2 33 0 38 15 7 90 34 0 71 2 10 3 35 0 28 1.5 1 14.1 36 0 61 4.5 8 70 37 0 71 2.5 7 38.5 38 0 28 8 6 57.2 39 0 51 10 6 6 40 0 65 1.6 6 25 41 0 48 2 9 6.9 42 0 61 15 9 69.7 43 0 75 3 8 13.3 44 0 66 3.25 9 0.6 45 0 62 4.94 6 38 46 0 71 1.5 7 14.4 10. A study of teenage gambling in Britain was performed in 2008. There is 47 observations and 5 variables. Download the data set Gambling from Blackboard and answer the following questions. a) Make a numerical and graphical summary of the data, commenting on any features that you fi interesting. Limit the output your present to a quantity that a busy reader would find sufficient. b) What percent of the variation in the response is explained by these predictors? c) Which observation has the largest (positive) residual? d) Compute the mean and median of the residuals. e) For all other predictors held constant, what would be the difference in predicted expenditure on gambling for a male compared to a female? f) Which variables are statistically significant? g) Predict the amount that a male with average status, income, and verbal score would gamble along with an appropriate 95% CI. Repeat the prediction for a male with maximal values of status, income, and verbal score. Which CI is wider and why is this result expected? h) Fit a model with just income as a predictor and use an F?test to compare it to the full model. i) Check the constant variance, normality, and linearity assumption. De- scribe your findings.

The student-athletes on the men's teams compete in various NCAA-II sports. Each team may be regarded as a random sample of all the NCAA-II athletes in that sport. There were 65 players listed on the school's rosters for Men’s Basketball teams from five seasons (2019-20, 2015-16, 2011-12, 2007-08, and 2003-04). The 65 players had an average height of 76.26" with a standard deviation of 2.91". Write out the four steps of the hypothesis test given below (be sure to give the value of each computation you have done). At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it. Your audience is people who have never had a statistics class (think of middle of the road 8th graders, not the really bright ones).

H_0:u=75 7/8 (mu=75.875)

H_a:u >75 7/8 (mu>75.875)

i)What test would you do to find out if Drug A is effective?

a)when data follows normal distribution

b)when data does not follow normal distribution, provide two methods to find out if the drug Is effective; how is one advantageous over the other method?

In Texas Hold’em, each player is dealt two cards from the deck. Obviously, this is done without replacement, so you cannot use the binomial distribution. You can use the hypergeometric distribution or reason from first principles.

a) What is the probability of being dealt a pair? Express it as an exact fraction and an approximate percentage.

b) If you are dealt two unpaired cards, say the ace of clubs and the 8 of diamonds, what is the chance of getting a pair or better on the flop? The flop is three cards dealt all at once, and we want to know the chance that the flop will contain at least one ace or at least one 8.