Individuals who consume large amounts of alcohol do not use the calories from this source as efficiently as calories from other sources. One study examined the effects of moderate alcohol consumption on body composition and the intake of other foods. Fifteen subjects participated in a crossover design where they either drank wine for the first 6 weeks and then abstained for the next 6 weeks or vice versa. During the period when they drank wine, the subjects, on average, lost 0.31 kilograms (kg) of body weight; when they did not drink wine, they lost an average of 1.13 kg. The standard deviation of the difference between the weight lost under these two conditions is 8.4 kg. During the wine period, they consumed an average of 2572 calories; with no wine, the mean consumption was 2557. The standard deviation of the difference was 206.
(a) Compute the differences in means and the standard errors for comparing body weight and caloric intake under the two experimental conditions. (To find the differences, subtract the relevant scores when the participants did not drink wine from the relevant scores when they did drink wine. Round your standard errors to three decimal places.)
| xD | SE | |
| weight | ||
| caloric intake |
(b) A report of the study indicated that there were no significant
differences in these two outcome measures. Verify this result for
each measure, giving the test statistic, degrees of freedom, and
the P-value. (Use
α = 0.10.
Round your answers for t to three decimal places, and round your P-values to four decimal places.)
| df | t | P-value | |
| weight | |||
| caloric intake |
State your conclusion for body weight.
a) Reject the null hypothesis. There is significant evidence of a difference in body weight.
b) Fail to reject the null hypothesis. There is not significant evidence of a difference in body weight.
c) Reject the null hypothesis. There is not significant evidence of a difference in body weight.
d) Fail to reject the null hypothesis. There is significant evidence of a difference in body weight.
State your conclusion for caloric intake.
a) Fail to reject the null hypothesis. There is not significant evidence of a difference in caloric intake.
b)Reject the null hypothesis. There is significant evidence of a difference in caloric intake.
c) Reject the null hypothesis. There is not significant evidence of a difference in caloric intake.
d) Fail to reject the null hypothesis. There is significant evidence of a difference in caloric intake.
(c) One concern with studies such as this, with a small number of
subjects, is that there may not be sufficient power to detect
differences that are potentially important. Address this question
by computing 95% confidence intervals for the two measures and
discuss the information provided by the intervals. (Round your
answers to three decimal places.)
weight ( kg, kg)
caloric intake ( calories, calories)
Discussion:
(d) Here are some other characteristics of the study. The study
periods lasted for 6 weeks. All subjects were males between the
ages of 21 and 50 years who weighed between 68 and 91 kg. They were
all from the same city. During the wine period, subjects were told
to consume two 135-milliliter (ml) servings of red wine per day and
no other alcohol. The entire 6-week supply was given to each
subject at the beginning of the period. During the other period,
subjects were instructed to refrain from any use of alcohol. All
subjects reported that they complied with these instructions except
for three subjects, who said that they drank no more than three to
four 12-ounce bottles of beer during the no-alcohol period. Discuss
how these factors could influence the interpretation of the
results.
In: Statistics and Probability
Terminal 5 (T5), built by British Airways for $8.6 billion, is London Heathrow Airport's newest state- of-the-art facility. Made of glass, concrete, and steel, it's the largest free-standing building in the United Kingdom and has more than 10 miles of belts for moving luggage. At the terminal's unveiling in March of 2008, Queen Elizabeth ll described the facility as an important of Britain’s future. Alas… the accolades didn't last long! After two decades in planning and 100 million hours in manpower, opening day didn't work out as planned. Endless lines and major baggage handling delays led to numerous flight cancellations stranding many irate passengers. Airport operators said the problems were triggered by glitches in the terminal's high-tech baggage-handling system.
With its massive automation features, T5 was planned to ease congestion at Heathrow and improve the flying experience for the 30 million passengers expected to pass through it annually. With 96 self-service check-in kiosks, more than 90fast check-in bag drops, 54 standard check-in desks, and miles of suitcase-moving belts estimated to be able to process 12,000 bags per hour, the facility's design seemed to support those goals.
However, within the first few hours of the terminal's operation, problems developed. Presumably understaffed, baggage workers were unable to clear incoming luggage fast enough. Arriving passengers waited more than an hour for their bags. Departing passengers tried in vain to check in for flights. Flights left with empty cargo holds. Sometime on day one, the airline checked in only those passengers with no luggage. And it didn't help that the moving belt system jammed at one point. Lesser problems also became apparent: a few broken escalators, some hand dryers that didn't work, a gate that wouldn't function at the new Underground station, and inexperienced ticket sellers who didn't know the fares between Heathrow and various stations on the Piccadilly line. By the end of the first full day of operation, Britain's Department of Transportation released a statement calling for British Airways and the airport operator BAA to get the problem fixed so customers would not be inconvenienced.
You might be tempted to think that all of this could have been prevented if British Airways had only tested the system. But thorough runs of all systems "from toilets to check in and seating" took place six months before opening, including four full-scale test runs using 16,000 volunteers.
Although T5’s debut was far from perfect, things have certainly changed. A recent customer satisfaction surveyshowed that 80 percent of passengers waited less than five minutes to check in. And those passengers are extremely satisfied with the terminal's lounges, catering, facilities, and ambience.
With the Summer Olympics in London, London’s Heathrow (and T5) grappled with a record passenger surge. As competitors, spectators, and media arrived. To cope with the deluge, some 1000 volunteers greeted arrivals, and special teams were assigned to deal with the athletes’’ oversize items like javelins, bikes, and other sports equipment. Despite the chaotic ‘birth’ of T5, it’s become a valued component of Heathrow and British Airways.
Please answer the following questions:
In: Operations Management
Problem 6-27 Sales Mix; Break-Even Analysis; Margin of Safety [LO6-7, LO6-9]
Island Novelties, Inc., of Palau makes two products—Hawaiian Fantasy and Tahitian Joy. Each product’s selling price, variable expense per unit, and annual sales volume are as follows:
| Hawaiian Fantasy | Tahitian Joy | |||||
| Selling price per unit | $ | 20 | $ | 100 | ||
| Variable expense per unit | $ | 13 | $ | 40 | ||
| Number of units sold annually | 22,000 | 6,600 | ||||
Fixed expenses total $506,000 per year.
Required:
1. Assuming the sales mix given above, do the following:
a. Prepare a contribution format income statement showing both dollar and percent columns for each product and for the company as a whole.
b. Compute the company's break-even point in dollar sales. Also, compute its margin of safety in dollars and its margin of safety percentage.
2. The company has developed a new product called Samoan Delight that sells for $55 each and that has variable expenses of $44 per unit. If the company can sell 10,000 units of Samoan Delight without incurring any additional fixed expenses:
a. Prepare a revised contribution format income statement that includes Samoan Delight. Assume that sales of the other two products does not change.
b. Compute the company’s revised break-even point in dollar sales. Also, compute its revised margin of safety in dollars and margin of safety percentage.
In: Accounting
Talk to me ~ Fear of public speaking is a common experience across many human cultures. To help people overcome this fear, researchers developed an internet-based telepsychology program for the treatment of this common social phobia. They recruit 44 people who meet a particular social phobia criterion to participate in a study and randomly assign them to either participate in the telepsychology program or to an in-person program with a therapist. At the end of the program, participants are evaluated and are considered "improved" if they no longer meet the social phobia criterion. Results from one iteration of the study are shown in the table below.
| Improved | Did Not Improve | Total | |
| Program 1: Telepsychology | 14 | 11 | 25 |
| Program 2: In-person | 12 | 7 | 19 |
| Total | 26 | 18 | 44 |
Round all numeric answers to four decimal places.
1. Calculate the observed difference in the proportion of participants in the telepsychology program and the in-person program that showed improvement, p^1−p^2p^1−p^2
2. Researchers want to determine if there is a
difference in results between the two programs, that is, is the
telepsychology program better than the in-person program or vice
versa? Or, are the two programs roughly the same? Choose the null
and alternative hypotheses that are appropriate to test this
research question.
A.
H0H0: There is no difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is due to chance.
HAHA: There is a difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is not due to chance.
B.
H0H0: There is no difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is not due to chance.
HAHA: There is a difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is due to chance.
C.
H0H0: There is a difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is not due to chance.
HAHA: There is no difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is due to chance.
D.
H0H0: There is a difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is due to chance.
HAHA: There is no difference in the two treatment programs. The
observed difference in p^1−p^2p^1−p^2 is not due to chance.
3. The paragraph below describes the set up for a
randomization technique, if we were to do it without using
statistical software. Select an answer by choosing an option from
the pull down list or by filling in an answer in each blank in the
paragraph below:
To setup a simulation for this situation, we let each person be
represented with a card. We write Telepsychology on __________
cards and In-person on ________ cards. Then, we shuffle these cards
and split them into two groups: one group of size _________
representing those who improved, and another group of size
________representing those who did not improve. We calculate the
difference in the proportion of participants in the telepsychology
program and the in-person program, p^1,sim−p^2,simp^1,sim−p^2,sim.
We repeat this many times to build a distribution centered at the
expected difference of ___________ .
Lastly, we calculate the fraction of simulations where the
simulated differences in proportions are (lessthan/greater/beyond)
? less than greater than beyond the observed
difference.
In: Statistics and Probability
Body fluids were examined from Patients with a Chondrosarcoma over the time after initial treatment and remission. The levels of a particular chemotherapeutic drug were followed over a selected week. The "Nadir" or a minimum level was selected for analysis. Two weeks have been chosen for this analysis: one early in the treatment (Nadir 1); the other at the end of the treatment (Nadir 8)
Do the two nadirs differ? In particular, is Nadir 8 below Nadir 1? Use three test, one of which is parametric. Paired Data Problem
| Subject | NADIR 1 | NADIR 8 |
| 1 | 13.2 | 14 |
| 2 | 11.2 | 13.8 |
| 3 | 13.9 | 12.2 |
| 4 | 10.2 | 11.8 |
| 5 | 11.1 | 10.1 |
| 6 | 12.7 | 7.5 |
| 7 | 12 | 11.6 |
| 8 | 9.3 | 10.4 |
| 9 | 12.9 | 11.5 |
| 10 | 12.8 | 11.5 |
| 11 | 11.6 | 9.2 |
| 12 | 10.8 | 9.6 |
| 13 | 11.2 | 11.6 |
| 14 | 14.2 | 11.2 |
| 15 | 10.8 | 11.6 |
| 16 | 12.3 | 11.4 |
| 17 | 12.4 | 10.9 |
| 18 | 11.1 | 10.2 |
| 19 | 12.4 | 12.5 |
| 20 | 11.4 | 10.5 |
| 21 | 11.2 | 10.5 |
| 22 | 11.2 | 8.4 |
| 23 | 11.9 | 8.6 |
| 24 | 12.6 | 12 |
| 25 | 11.5 | 12.9 |
| 26 | 12 | 12 |
| 27 | 10.8 | 12 |
| 28 | 11.1 | 10.5 |
| 29 | 12 | 9.4 |
| 30 | 11.7 | 12 |
In: Statistics and Probability
GRADED PROBLEM SET #5
Answer each of the following questions completely. There are a total of 20 points possible in the assignment.
In: Math
Answer the following questions. Please show your work or otherwise justify your answers. If you’re asked to create a truth table, show the entire table.
Create the truth table for the statement form: ~(? → ?) ↔ (? ∧ ~?)
Write the two statements in symbolic form and determine if they’re equivalent. Construct a full truth table, and explain how this shows equivalency (or a lack thereof). Statement 1: If you play aggressively and protect your king, then you will win the match. Statement 2: You didn’t play aggressively or you didn’t protect your king or you won the match.
In: Advanced Math
A school is conducting optimization studies of the resources it has. One of the principal concerns of the Director is that of the staff. The problem he is currently facing is with the number of guards in the "Emergencies" section. To this end, he ordered a study to be carried out that yielded the following results:
Time Minimum number of guards required O to 4 40 4 to 8 80 8 to 12 100 12 to 16 70 16 to 20 120 20 to 24 50 Each guard, according to Federal labor law, must work eight consecutive hours per day. Formulate the problem of hiring the minimum number of guards that meet the above requirements, as a Linear programing model.
In: Advanced Math
1. Two cards are drawn from a well-shuffled ordinary
deck of 52 cards. Find the probability that they are both aces if
the first card is (a) replaced, (b) not replaced.
2. Find the probability of a 4 turning up at least once in two
tosses of a fair die.
3. One bag contains 4 white balls and 2 black balls; another
contains 3 white balls and 5 black balls. If one ball is drawn from
each bag, find the probability that (a) both are white, (b) both
are black,(c) one is white and one is black.
4. Box I contains 3 red and 2 blue marbles while Box II contains 2
red and 8 blue marbles. A fair coin is tossed. If the coin turns up
heads, a marble is chosen from Box I; if it turns up tails, a
marble is chosen from Box II. Find the probability that a red
marble is chosen.
5. A committee of 3 members is to be formed consisting of one
representative each from labor, management, and the public. If
there are 3 possible representatives from labor,2 from management,
and 4 from the public, determine how many different committees can
be formed
6. In how many ways can 5 differently colored marbles be arranged
in a row?
7. In how many ways can 10 people be seated on a bench if only 4
seats are available?
8. It is required to seat 5 men and 4 women in a row so that the
women occupy the even places. How many such arrangements are
possible?
9. How many 4-digit numbers can be formed with the 10 digits
0,1,2,3,. . . ,9 if (a) repetitions are allowed, (b) repetitions
are not allowed, (c) the last digit must be zero and repetitions
are not allowed?
10. Four different mathematics books, six different physics books,
and two different chemistry books are to be arranged on a shelf.
How many different arrangements are possible if (a) the books in
each particular subject must all stand together, (b) only the
mathematics books must stand together?
11. Five red marbles, two white marbles, and three blue marbles are
arranged in a row. If all the marbles of the same color are not
distinguishable from each other, how many different arrangements
are possible?
12. In how many ways can 7 people be seated at a round table if (a)
they can sit anywhere,(b) 2 particular people must not sit next to
each other?
13. In how many ways can 10 objects be split into two groups
containing 4 and 6 objects, respectively?
14. In how many ways can a committee of 5 people be chosen out of 9
people?
15. Out of 5 mathematicians and 7 physicists, a committee
consisting of 2 mathematicians and 3 physicists is to be formed. In
how many ways can this be done if (a) any mathematician and any
physicist can be included, (b) one particular physicist must be on
the committee, (c) two particular mathematicians cannot be on the
committee?
16. How many different salads can be made from lettuce, escarole,
endive, watercress, and chicory?
17. From 7 consonants and 5 vowels,how many words can be formed
consisting of 4 different consonants and 3 different vowels? The
words need not have meaning.
18. In the game of poker5 cards are drawn from a pack of 52
well-shuffled cards. Find the probability that (a) 4 are aces, (b)
4 are aces and 1 is a king, (c) 3 are tens and 2 are jacks, (d) a
nine, ten, jack, queen, king are obtained in any order, (e) 3 are
of any one suit and 2 are of another, (f) at least 1 ace is
obtained.
19. Determine the probability of three 6s in 5 tosses of a fair
die.
20. A shelf has 6 mathematics books and 4 physics books. Find the
probability that 3 particular mathematics books will be
together.
21. A and B play 12 games of chess of which 6 are won by A,4 are
won by B,and 2 end in a draw. They agree to play a tournament
consisting of 3 games. Find the probability that (a) A wins all 3
games, (b) 2 games end in a draw, (c) A and B win alternately, (d)
B wins at least 1 game.
22. A and B play a game in which they alternately toss a pair of
dice. The one who is first to get a total of 7 wins the game. Find
the probability that (a) the one who tosses first will win the
game, (b) the one who tosses second will win the game.
23. A machine produces a total of 12,000 bolts a day, which are on
the average 3% defective. Find the probability that out of 600
bolts chosen at random, 12 will be defective.
24. The probabilities that a husband and wife will be alive 20
years from now are given by 0.8 and 0.9, respectively. Find the
probability that in 20 years (a) both, (b) neither, (c) at least
one, will be alive.
ok, I'll update this to 3 to 4 questions. Thanks!
In: Statistics and Probability
In this lab assignment, students will demonstrate the abilities to: - Use functions in math module - Generate random floating numbers - Select a random element from a sequence of elements - Select a random sample from a sequence of elements (Python Programming)
NO BREAK STATEMENTS AND IF TRUE STATEMENTS PLEASE
Help with the (create) of a program to play Blackjack. In this program, the user plays against the dealer. Please do the following.
(a) Give the user two cards.
You can use the following statements to create a list of cards: cards = ("A","2","3","4","5","6","7","8","9","10","J","Q","K") Use the choice function of the random module twice to draw two cards. J, Q and K each has a value of 10. To make the program easier, A always has a value of 11. Display the two cards drawn and the total value. If the total is 21, display "Blackjack! You have won!" and end the game (You can use the exit() function to end the program).
(b) Use a loop to allow user to draw more cards. Every time a card is drawn, display the card and the updated total. If the total is 21, display "Blackjack! You have won!" and end the game. If the total is higher than 21, display "Bust! You have lost!" and end the game. Otherwise, let the user to decide to draw another card.
(c) Use a loop to draw cards for the dealer. Every time a card is drawn, display the card and the updated total. If the total is 21, display "Blackjack! Dealer has won!" and end the game. If the total is higher than 21, display "Bust! Dealer has lost!" and end the game. The dealer must continue to draw another card until the total is 17 or higher.
(d) If neither the dealer nor the user gets blackjack or bust, compare their totals. If the user's total is higher, display "You have won"; otherwise, display "dealer has won".
The followings are a few examples: Card drawn: 7 Player's Total: 7 Card drawn: 7 Player's Total: 14 Want another card? [y/n] y Card drawn: K Player's Total: 24 Bust! You have lost!
Card drawn: 4 Player's Total: 4 Card drawn: Q Player's Total: 14 Want another card? [y/n] y Card drawn: 3 Player's Total: 17 Want another card? [y/n] y Card drawn: 4 Player's Total: 21 Blackjack! You have won!
Card drawn: 9 Player's Total: 9 Card drawn: 10 Player's Total: 19 Want another card? [y/n] n Card drawn: 3 Dealer's Total: 3 Card drawn: Q Dealer's Total: 13 Card drawn: 10 Dealer's Total: 23 Bust! Dealer has lost!
Card drawn: 6 Player's Total: 6 Card drawn: A Player's Total: 17 Want another card? [y/n] n Card drawn: A Dealer's Total: 11 Card drawn: J Dealer's Total: 21 Blackjack! Dealer has won!
Card drawn: J Player's Total: 10 Card drawn: J Player's Total: 20 Want another card? [y/n] n Card drawn: 3 Dealer's Total: 3 Card drawn: K Dealer's Total: 13 Card drawn: 6 Dealer's Total: 19 Player's total: 20 Dealer's total: 19 You have won!
Card drawn: 10 Player's Total: 10 Card drawn: 10 Player's Total: 20 Want another card? [y/n] n Card drawn: 10 Dealer's Total: 10 Card drawn: K Dealer's Total: 20 Player's total: 20 Dealer's total: 20 Dealer has won!
NO BREAK STATEMENTS PLEASE NO IF TRUE STATEMENTS PLEASE
In: Computer Science