A study was conducted to determine the destinations
ofcollege-bound high school graduates from public schools in
the
countI.e s 0 f sout he astern Pennsyllva'ma . The res uit s are li
sted 'm the 110 1o1wm' g conti.n gency tab le:
County Community
College
2-Year
College
4-Year
College
Other Total
Bucks 1073 52 2185 78 3388
Chester 220 133 2044 86 2483
i Delaware 618 95 1720 82 2515
Montgomery 606 97 3021 91 3815
Philadelphia 941 150 3185 238 4514
Total 3458 527 12,155 575 16,715 ..
A college-bound seruor IS chosen at random from the southeastern
Pennsylvama area. What'sthe;pf.9bability that the
student:
26. Planning to attend a community college?
27. From Bucks county?
28. Going to a 4-year college, given that he or she is from
Philadelphia County?
29. Going to attend a community college and is from Bucks
county?
30. From Chester or Montgomery counties?
31. Going to attend a community college or is from Delaware
County?
32. Not going to attend a 4-year college?
33. From Montgomery county, given that he or she is going to attend
a 4-year college?
In: Statistics and Probability
USING EXCEL ONLY: You sell hot dogs at the local high school football games. For the upcoming championship game, you need to decide how many hot dogs to order (275, 300, or 325) at a cost of $0.25 each. Hot dogs sell for $1 each. Any unsold hot dogs are thrown away. If the game is interesting, you think that fewer people will visit your stand and that demand will be normally distributed with a mean of 240 with a std dev of 40. However, if the game is a blowout, you expect more people to come to your stand; demand would be normally distributed with a mean of 290 with a std dev of 30. Knowing the two teams, you estimate there being a 40% chance of a blowout. Set up a simulation model for this championship game to determine the expected profit and the expected % of unsold hot dogs for each choice of order size. Replicate these values 300 times to help make your decision of how many hot dogs to order.
In: Statistics and Probability
Retaking the SAT: (USE SOFTWARE) Many high school students take the SAT's twice; once in their Junior year and once in their Senior year. In a sample of 40 such students, the score on the second try was, on average, 33 points above the first try with a standard deviation of 13 points. Test the claim that retaking the SAT increases the score on average by more than 30 points. Test this claim at the 0.01 significance level.
(a) The claim is that the mean difference is greater than 30 (μd > 30), what type of test is this?
This is a right-tailed test.
This is a left-tailed test.
This is a two-tailed test.
(b) What is the test statistic? Round your answer to 2
decimal places.
td =
(c) Use software to get the P-value of the test statistic.
Round to 4 decimal places.
P-value =
(d) What is the conclusion regarding the null hypothesis?
reject H0
fail to reject H0
(e) Choose the appropriate concluding statement.
The data supports the claim that retaking the SAT increases the score on average by more than 30 points.
There is not enough data to support the claim that retaking the SAT increases the score on average by more than 30 points.
We reject the claim that retaking the SAT increases the score on average by more than 30 points.
We have proven that retaking the SAT increases the score on average by more than 30 points.
In: Statistics and Probability
Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 85 students shows that 38 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.
What is the level of significance?
State the null and alternate hypotheses.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
Find the P-value. (Round your answer to four decimal places.)
In: Statistics and Probability
Drew is undecided about whether to go back to school and get his master’s degree. He is trying to perform a cost-benefit analysis to determine whether the cost of attending the school of his choice will be outweighed by the increase in salary he will receive after he attains his degree. He does research and complies data on annual salaries in the industry he currently works in (he has been working for 10 years), along with the years of experience for each employee and whether or not the employee has a master’s degree. Earning his master’s degree will require him to take out approximately $20,000 worth of student loans. He has decided that if the multiple regression model shows, with 95% confidence, that earning a master’s degree is significant in predicting annual salary, and the estimated increase in salary is at least $10,000, he will enroll in a degree program. Here are the data:
|
Salary ($) |
Years of Experience |
Master’s Degree |
Dummy variable |
Dummy variable |
|
37,620 |
23 |
No |
||
|
67,180 |
26 |
Yes |
||
|
31,280 |
16 |
No |
||
|
20,500 |
3 |
No |
||
|
75,120 |
27 |
Yes |
||
|
59,820 |
24 |
Yes |
||
|
40,180 |
16 |
Yes |
||
|
81,360 |
31 |
Yes |
||
|
36,080 |
20 |
No |
||
|
36,080 |
11 |
Yes |
||
|
36,680 |
23 |
No |
||
|
29,200 |
12 |
Yes |
||
|
34,040 |
17 |
No |
||
|
30,060 |
13 |
No |
||
|
53,300 |
22 |
Yes |
||
|
22,820 |
6 |
No |
||
|
72,900 |
33 |
Yes |
||
|
55,920 |
20 |
Yes |
||
|
18,280 |
0 |
No |
||
|
27,000 |
9 |
No |
||
|
59,600 |
24 |
Yes |
||
|
40,000 |
16 |
Yes |
||
|
81,500 |
31 |
Yes |
||
|
36,000 |
20 |
No |
||
|
36,500 |
11 |
Yes |
||
|
37,020 |
23 |
No |
||
|
29,000 |
12 |
Yes |
PS. Make sure to first assign the 0 and 1 to the levels of the IV and then be consistent with it. Fill in the dummy variable(s) column(s). Make sure to use appropriate number of variables calculated by the formula (c-1).
A. Is the regression model effective in predicting the DV at alpha of 0.025? Make sure to show which values you use to make the decision.
B. Write down the multiple regression equation using actual names of IVs and DVs. Remember, you need an equation for each level of the qualitative IV.
C. What is the value of the estimated intercept? Interpret the value in terms of years of experience, master’s degree, and salary.
D. What is the values of the estimated slope for the variable “Master’s degree”? Interpret each value in terms of actual IVs and the DV. Do not forget to take into consideration the way you converted categorical variable into the dummy variable.
E. What is the average difference between the salaries of people with and without Master’s degree (holding years of experience constant)?
F. Does the master’s degree significantly influence the salary of the employees at the alpha level of 0.01? Make sure to show which values you use to make the decision.
G. Do the years of experience significantly influence the salary of the employees at the alpha level of 0.01? Make sure to show which values you use to make the decision.
H. Remember, Drew has decided that if the multiple regression model shows that earning a master’s degree is significant in predicting annual salary (at alpha of 0.05), and the estimated increase in salary is at least $10,000, he will enroll in a degree program. Should he? Use the actual numbers from regression model to prove your answer. Hint, there should be two set of values/numbers used.
In: Statistics and Probability
In studying of high school students, Mrs. Miller wishes to estimate the difference between two groups of highschool students regarding who helps students the most with financial issues. She asks two groups of random independent samples to find the 98% confidence interval for the difference between the proportions of group one and group two who get help from their mothers instead of fathers. A sample of 100 Students was taken from sullivan north highschool, with 43 students saying there mother helped most. Another sample of 100 students was taken from rogersville highschool, with 47 students saying their mother helped the most.
A) type of interval
B) Find the confidence interval (round to 3 decimal places)
C Using the confidence interval from part A) is there a difference between the proportion of sullivan north students and rogersville high students who say their mother help the most (Yes/No)
In: Statistics and Probability
School Days Furniture, Inc., manufactures a variety of desks, chairs, tables, and shelf units which are sold to public school systems throughout the midwest. The controller of the company’s Desk Division is currently preparing a budget for the third quarter of the year. The following sales forecast has been made by the division’s sales manager.
| July | 5,000 | desk-and-chair sets |
| August | 6,000 | desk-and-chair sets |
| September | 7,500 | desk-and-chair sets |
|
Each desk-and-chair set requires 10 board feet of pine planks and 1.5 hours of direct labor. Each set sells for $60. Pine planks cost $0.60 per board foot, and the division ends each month with enough wood to cover 10 percent of the next month’s production requirements. The division incurs a cost of $21.00 per hour for direct-labor wages and fringe benefits. The division ends each month with enough finished-goods inventory to cover 20 percent of the next month’s sales. |
| Required: |
| Complete the following budget schedules |
| 1. |
Sales budget: |
|
| 2. | Production budget (in sets): |
|
| 3. | Raw material purchases: |
|
4.
|
|
In: Accounting
Richard Thaler, (Professor, The University of Chicago Booth School of Business) said: “We failed to learn from the hedge fund failures of the late ’90s.” His message (Links to an external site.)to overconfident risk managers: There’s more risk out there than you think.
a) What do you think of Wall Street (or any financial markets)? Do we need Wall Street? Why or Why not?
b) What is "The Paradox of Thrift"? How does that apply to our current situation?
In: Economics
A 62-year-old retired elementary school teacher presents to the emergency room with complaints of shortness of breath, swelling, and generally not feeling well.
Related Question #1
What physical assessments are priorities given her symptoms?
Related Question #2
What diagnostic tests should be ordered immediately? Explain the purpose(s) of each.
Part 2
Vital signs are obtained and recorded as BP 90/48, R24, HR 100 irregular and varying pulse quality, T 97.8°F, pulse oximetry at 92%. Cardiac monitor reveals atrial fibrillation with variable ventricular response. The following laboratory values are returned: troponin 0.02 ng/ml, BNP 400, Hb 10.6, Hct 31.8, BUN 44 Cr 2.
Related Question #3
Which of the laboratory tests are abnormal?
Related Question #4
What do the abnormal tests indicate?
Part 3
Physical examination reveals obese white female in acute distress with frequent deep sighing breaths. HEENT unremarkable, CN I to CN XII grossly intact. Responds slowly but accurately and appropriately. Negative jugular vein distention. Chest: crackles lower lobes bilaterally. Pansystolic murmur, irregular rhythm. Abdomen: mildly distended, soft with bowel sounds present all quadrants. No organomegaly. Genitalia: deferred. Extremities: moves all extremities on command. 2+ pitting edema bilaterally.
Related Question #5
Which physical signs and symptoms are indicative of congestive heart failure?
Related Question #6
What are the expected interventions?
Related Question #7
What is the purpose of each of these medications in the treatment of CHF?
Part 4
The patient is admitted with the following diagnoses:
Mitral valve regurgitation
CHF secondary to mitral valve disease
Renal failure secondary to CHF
Atrial fibrillation
Anemia
Related Question #8
Explain the development of congestive heart failure in this patient.
Related Question #9
Explain the relationship between the CHF, renal failure, and anemia.
Related Question #10
What is the significance of the atrial fibrillation?
In: Nursing
Chris is undecided about whether to go back to school and get his master’s degree. He is trying to perform a cost-benefit analysis to determine whether the cost of attending the school of his choice will be outweighed by the increase in salary he will receive after he attains his degree. He does research and compiles data on annual salaries in the industry he currently works in (he has been working for 10 years), along with the years of experience for each employee and whether or not the employee has a master’s degree. Earning his master’s degree will require him to take out approximately $20,000 worth of student loans. He has decided that if the multiple regression model shows, with 95% confidence, that earning a master’s degree is significant in predicting annual salary, and the estimated increase in salary is at least $10,000, he will enroll in a degree program.
| Salary ($) | Years of Experience | Master’s Degree |
| 37,620 | 23 | No |
| 67,180 | 26 | Yes |
| 31,280 | 16 | No |
| 20,500 | 3 | No |
| 75,120 | 27 | Yes |
| 59,820 | 24 | Yes |
| 40,180 | 16 | Yes |
| 81,360 | 31 | Yes |
| 36,080 | 20 | No |
| 36,080 | 11 | Yes |
| 36,680 | 23 | No |
| 29,200 | 12 | Yes |
| 34,040 | 17 | No |
| 30,060 | 13 | No |
| 53,300 | 22 | Yes |
| 22,820 | 6 | No |
| 72,900 | 33 | Yes |
| 55,920 | 20 | Yes |
| 18,280 | 0 | No |
| 27,000 | 9 | No |
| 59,600 | 24 | Yes |
| 40,000 | 16 | Yes |
| 81,500 | 31 | Yes |
| 36,000 | 20 | No |
| 36,500 | 11 | Yes |
| 37,020 | 23 | No |
| 29,000 | 12 | Yes |
5. What is the average difference between the salaries of people with and without Master’s degree (holding years of experience constant)?
6. Does the master’s degree significantly influence the salary of the employees at the alpha level of 0.01?
7. Do the years of experience significantly influence the salary of the employees at the alpha level of 0.01? Make sure to show which values you use to make the decision.
8. Remember, Chris has decided that if the multiple regression model shows that earning a master’s degree is significant in predicting annual salary (at alpha of 0.05), and the estimated increase in salary is at least $10,000, he will enroll in a degree program. Should he? Use the actual numbers from the regression model to prove your answer. there should be two sets of values/numbers used.
In: Statistics and Probability