The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining.
| Ship | Overall | Shore Excursions |
Food/Dining |
|---|---|---|---|
| Seabourn Odyssey | 94.4 | 90.9 | 97.8 |
| Seabourn Pride | 93.0 | 84.2 | 96.7 |
| National Geographic Endeavor | 92.9 | 100.0 | 88.5 |
| Seabourn Sojourn | 91.3 | 94.8 | 97.1 |
| Paul Gauguin | 90.5 | 87.9 | 91.2 |
| Seabourn Legend | 90.3 | 82.1 | 98.8 |
| Seabourn Spirit | 90.2 | 86.3 | 92.0 |
| Silver Explorer | 89.9 | 92.6 | 88.9 |
| Silver Spirit | 89.4 | 85.9 | 90.8 |
| Seven Seas Navigator | 89.2 | 83.3 | 90.5 |
| Silver Whisperer | 89.2 | 82.0 | 88.6 |
| National Geographic Explorer | 89.1 | 93.1 | 89.7 |
| Silver Cloud | 88.7 | 78.3 | 91.3 |
| Celebrity Xpedition | 87.2 | 91.7 | 73.6 |
| Silver Shadow | 87.2 | 75.0 | 89.7 |
| Silver Wind | 86.6 | 78.1 | 91.6 |
| SeaDream II | 86.2 | 77.4 | 90.9 |
| Wind Star | 86.1 | 76.5 | 91.5 |
| Wind Surf | 86.1 | 72.3 | 89.3 |
| Wind Spirit | 85.2 | 77.4 | 91.9 |
(a)
Determine an estimated regression equation that can be used to predict the overall score given the score for Shore Excursions. (Round your numerical values to two decimal places. Let x1 represent the Shore Excursions score and y represent the overall score.)
ŷ =
(b)
Consider the addition of the independent variable Food/Dining. Develop the estimated regression equation that can be used to predict the overall score given the scores for Shore Excursions and Food/Dining. (Round your numerical values to two decimal places. Let x1 represent the Shore Excursions score, x2 represent the Food/Dining score, and yrepresent the overall score.)
ŷ =
(c)
Predict the overall score for a cruise ship with a Shore Excursions score of 82 and a Food/Dining Score of 91. (Round your answer to one decimal place.)
In: Statistics and Probability
A 63.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m ✕ 2.00 m ✕ 0.0895 m. The bottom 0.023 m of the raft is submerged.
(a) Draw a force diagram of the system consisting of the survivor and raft.
(b) Write Newton's second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0. Solve for Fy, the y-component of the net force. Let upward be the positive y-direction.)
(c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m3. Enter answer to at least the ones digit.)
(d) Using the value of B and the weight w of the survivor, calculate the weight wr of the Styrofoam.
(e) What is the density of the Styrofoam? (f) What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface?
(g) What total mass of survivors can the raft support?
In: Physics
Question 5: In the 1983 film, ”Risky Business”, the actor Tom Cruise slides across the polished hardwood floor in white tennis socks. The coefficient of kinetic friction between the socks and the floor is 0.23, and we’ll assume that Tom has a mass of 75 kg. a) (4 points) If he wants to get a running start and then slide across the floor for 2 m, how fast does he have to be at the moment he starts sliding? b) (3 points) If Tom were to lose 10 kg, would he need the same speed as in part (a) to slide for 2m? Explain your answer, and calculate the speed for this case, if it is different from part (a). c) (5 points) Tom is not satisfied with the result of his sliding, so he asks his manager to push him (instead of running). If the manager pushes him with a force of 250 N over a distance of 80 cm on the hardwood floor, how far will Tom slide after being pushed? Assume a mass of 75 kg again for this part. d) (4 points) If Tom were to lose 10 kg, would he slide the same distance as in part (c)? Explain your answer, and calculate the distance for this case, if it is different from part (c).
In: Physics
What did Andrew Carnegie argue in his “Gospel of Wealth”?
A. American industrialists had a moral obligation to create educational and cultural opportunities for the masses rather than increasing their employees’ wages.
B. American industrialists should donate liberally to charities that fed and clothed the poor, and if they refused to do so, the government should tax their estates heavily when they died.
C. American industrialists had risen to the top of the economic pyramid through a process of rigorous natural selection, and it would therefore be unnatural for the government to tax their wealth.
D. American industrialists should first ensure that their workers earned a just wage and then devote any surplus wealth to philanthropic efforts.
In: Psychology
Let's discuss the idea of the American hero regarding Death of a Salesman. The American idea of a tragic hero differs substantially from the Ancient Greek idea of the tragic hero and one's tragic flaw. How do you find value in reading about such American tragic heroes such as Willy Loman? Be sure to support your ideas with details from the play as well as quoted passages. As always, make sure you use in-text citations and an end reference. What did you personally learn about human behavior from the historical aspects of the play and does this play's commentary on American consumerism resonate with what we see and experience in our society today?
In: Psychology
QSR magazine assessed the work of McDonalds and Taco Time restaurants in terms of their service time in seconds. For the sample of 308 observations from Taco Time restaurants, the mean service time was 158.03 seconds with a standard deviation of 33.8 seconds. For the sample of 317 observations from McDonalds restaurants, the mean service time was 189.49 seconds with a standard deviation of 41.3 seconds. Construct a 95% confidence interval.
In: Statistics and Probability
A magazine reported the results of a random telephone poll commissioned by a television network. Of the 1144 men who responded, only 32 said that their most important measure of success was their work. Complete parts a through c. a right parenthesis Estimate the percentage of all males who measure success primarily from their work. Use a 95% confidence interval. Don't forget to check the conditions first.
In: Statistics and Probability
A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.87. Assume the sample is taken from a normally distributed population. Construct 90% confidence intervals for (a) the population variance and (b) the population standard deviation
Interpret the results.
In: Statistics and Probability
A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 11% chose chocolate pie, and the margin of error was given as plus or minus 4percentage points. What values do ModifyingAbove p with caret,ModifyingAbove q with caret n, E, and p represent? If the confidence level is 99%, what is the value of alpha?
In: Statistics and Probability
An article in Fortune magazine reported on the rapid rise of fees and expenses charged by mutual funds. Assuming that stock fund expenses and municipal bond fund expenses are each approximately normally distributed, suppose a random sample of 12 stock funds gives a mean annual expense of 1.63 percent with a standard deviation of .31 percent, and an independent random sample of 12 municipal bond funds gives a mean annual expense of 0.89 percent with a standard deviation of .23 percent. Let µ1 be the mean annual expense for stock funds, and let µ2 be the mean annual expense for municipal bond funds. Do parts a, b, and c by using the equal variances procedure. Then repeat a, b, and c using the unequal variances procedure.
(a) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense for stock funds is larger than the mean annual expense for municipal bond funds. Test these hypotheses at the .05 level of significance. (Round your sp2 answer to 4 decimal places and t-value to 3 decimal places.)
| H0: µ1 −
µ2 ≤ versus Ha:
µ1 − µ2 > s2p=sp2= t = (Click to select)Do not rejectReject H0 with α = .05 |
(b) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense for stock funds exceeds the mean annual expense for municipal bond funds by more than .5 percent. Test these hypotheses at the .05 level of significance. (Round your t-value to 3 decimal places and other answers to 1 decimal place.)
| H0: µ1 −
µ2 (Click to
select)<≤>≥ versus Ha :
µ1 − µ2 (Click to
select)≤<≥> t = (Click to select)RejectDo not reject H0 with α = .05 |
(c) Calculate a 95 percent confidence interval for the difference between the mean annual expenses for stock funds and municipal bond funds. Can we be 95 percent confident that the mean annual expense for stock funds exceeds that for municipal bond funds by more than .5 percent? (Round your answer sx⎯⎯1−x⎯⎯2sx¯1−x¯2 to 4 decimal places and other answers to 3 decimal places.)
| The interval = [ , ]. (Click to select)NoYes , the interval is (Click to select)not aboveabove .5. |
| Redo of (a) for unequal variances |
| H0: µ1 − µ2 (Click to select)>=< 0 versus Ha: µ1 − µ2 (Click to select)><= 0 |
| Sx⎯⎯1−x⎯⎯2Sx¯1−x¯2 = t = |
| t.05 = so (Click to select)rejectdo not reject H0. |
| Redo of (b) for unequal variances |
| H0: µ1 − µ2 < .5 versus Ha : µ1 − µ2 (Click to select)<=.5<.5>.5>=.5 |
| t = so (Click to select)do not rejectreject H0. |
| Redo of (c) for unequal variances |
| The interval = [ , ]. (Click to select)YesNo , the interval is (Click to select)not aboveabove .5. |
In: Statistics and Probability