Jack 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 |
1. Is the regression model effective in predicting the DV at an alpha of 0.025? Make sure to show which values you use to make the decision.
2. Write down the multiple regression equation using actual names of IVs and DVs. You need an equation for each level of the qualitative IV.
3. What is the value of the estimated intercept? Interpret the value in terms of years of experience, master’s degree, and salary.
4. What are the values of the estimated slope for the variable “Master’s degree”? Interpret each value in terms of actual IVs and the DV.
In: Statistics and Probability
A 16-year-old student comes to the school nurse’s office and tells the nurse that she thinks she might be pregnant. The student tells the nurse that she has not had a period in 3 months. The nurse checks the student’s file and finds that she has a history of asthma and a seizure disorder for which she has been prescribed daily drugs. Because the student takes these drugs at home, the nurse has not seen her on a regular basis. The nurse counsels the student about obtaining a pregnancy test. The student tells the nurse that before she can leave the office, she needs to know what might be wrong with her baby. The student states that she drinks heavily on weekends and that she probably was drunk when she became pregnant. She also states that she was concerned about taking her seizure medication during the months she thought she was pregnant, but she was too embarrassed not to take it because she did not want to have a seizure in front of her friends. The student tells the nurse that she has not taken any asthma medication and that she has been having a difficult time breathing.
question 1:
What can the nurse tell the student about the interval when she was taking her medications after possibly becoming pregnant?
Question 2:
When the student asks specifically how her baby may have been affected, how should the nurse reply?
question 3:
The student asks what alcohol can do to her baby. What would be the best response by the school nurse?
In: Nursing
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
–Construct a reasonable frequency distribution of High School GPA (HSGPA)
–Construct a histogram
–Present the frequency distribution and histogram
There are a total of 196 HS student GPAs. 1.6, 2, 2.1, 2.1, 2.2, 2.2, 2.2, 2.4, 2.4, 2.5, 2.5, 2.5, 2.5, 2.5, 2.6, 2.7, 2.75, 2.75, 2.75, 2.75, 2.75, 2.8, 2.8, 2.8, 2.9, 2.9, 2.9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3.1, 3.1, 3.1, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.23, 3.25, 3.25, 3.25, 3.25, 3.3, 3.3, 3.3, 3.3, 3.3, 3.31, 3.34, 3.4, 3.4, 3.4, 3.4, 3.4, 3.4, 3.4, 3.4, 3.4, 3.45, 3.479, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.6, 3.6, 3.6, 3.6, 3.6, 3.6, 3.6, 3.6, 3.63, 3.63, 3.64, 3.65, 3.65, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.7, 3.729, 3.75, 3.75, 3.75, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.8, 3.81, 3.81, 3.83, 3.9, 3.9, 3.9, 3.9, 3.9, 3.92, 3.94, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4
In: Statistics and Probability
Williams Products Inc. manufactures and sells a number of items,
including school knapsacks. The company has been experiencing
losses on the knapsacks for some time, as shown by the contribution
format income statement below:
| WILLIAMS PRODUCTS INC. | ||||||
| Income Statement—School Knapsacks | ||||||
| For the Quarter Ended June 30 | ||||||
| Sales | $ | 285,000 | ||||
| Variable expenses: | ||||||
| Variable manufacturing expenses | $ | 79,800 | ||||
| Sales commissions | 31,350 | |||||
| Shipping | 8,550 | |||||
| Total variable expenses | 119,700 | |||||
| Contribution margin | 165,300 | |||||
| Fixed expenses: | ||||||
| Salary of product-line manager | 11,000 | |||||
| General factory overhead | 56,800 | * | ||||
| Depreciation of equipment (no resale value) | 21,500 | |||||
| Advertising—traceable | 53,600 | |||||
| Insurance on inventories | 4,700 | |||||
| Purchasing department | 33,160 | ↑ | ||||
| Total fixed expenses | 180,760 | |||||
| Operating loss | $ | (15,460 | ) | |||
*Allocated on the basis of machine-hours.
†Allocated on the basis of sales dollars.
Discontinuing the knapsacks would not
affect sales of other product lines and would have no noticeable
effect on the company’s total general factory overhead or total
purchasing department expenses.
Required:
a. Compute the increase or decrease of net operating
income if the Williams Products Inc line is continued or
discontinued. (Input all amounts as positive except
Decreases in Sales, Decreases in Contribution Margin, and Net
Losses which should be indicated by a minus sign.)
b. Would you recommend that the Williams Products Inc line be discontinued?
Yes
No
In: Accounting
a). Calculate the test statistic. (R code and R result).
b). Find the p-value (R code and R result).
c). Make your decision.
In: Statistics and Probability
(1 point) Coaching companies claim that their courses can raise the SAT scores of high school students. But students who retake the SAT without paying for coaching also usually raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
| nn | x¯¯¯x¯ | ss | x¯¯¯x¯ | ss | x¯¯¯x¯ | ss | |
| Coached | 427 | 500 | 92 | 529 | 97 | 29 | 59 |
| Uncoached | 2733 | 506 | 101 | 527 | 101 | 21 | 52 |
Estimate a 99% confidence interval for the mean gain of all students who are coached.
___________________ to
at 99% confidence.
Now test the hypothesis that the score gain for coached students is
greater than the score gain for uncoached students. Let μ1 be the
score gain for all coached students. Let μ2 be the score gain for
uncoached students.
(a) Give the alternative hypothesis: μ1−μ2_______________ 0
(b) Give the tt test statistic:
(c) Give the appropriate critical value for α=5%:
In: Statistics and Probability
High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2851 applications for early admission. Of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admisiion applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. Let E, R, and D represent the events that a student who applies for early admissions is admitted early, rejected outright, or deferred to the regular admissions pool. A) Use data to estimate P(E), P(R), and P(D). B) Are events E and D mutually exclusive? Find P(EUD). C) For the 2375 students who were admitted, what is the probability that a randomly selected student was accepted during early admission? D) SUppose a student applies for early admission. What is the probability that the students will be admitted for early admission or be deferred and later admitted during the regular admission process?
In: Statistics and Probability
A track coach wants to compare the 200m time of his high school
track team.
boy: 23, 22, 21, 24, 23, 25, 22, 23
girl: 25, 28, 22, 26, 29, 26, 27, 24
a. What test should he use to compare the means?
b. Is it significant at 0.5 level?
c. What conclusion can be made?
d. Calculate omega squared and interpret its meaning in this
study.
t = (M1-M2)/sqr rt [{(N1-1)S12 + (N2-1)S22/(N1+N2-2)] * [(N1 + N2)/N1*N2]}
Ω2 = {(t2 - 1)/ (t2 + N1 + N2 -1)} X 100
In: Statistics and Probability
Develop a snack bar for a local high school football stadium. You have an empty shell of a small room (measuring ten feet by 15 feet). You currently have no cooking instruments, but you have an ice maker and cash register that you do not need to pay for. Your task is to buy equipment, based on what you want to sell, and then you have to buy products to sell. You need to look at actual prices (you can buy some food at Costco as an example). You have to develop a budget that takes into consideration fixed costs and variable costs and then the revenue you anticipate making. I want this to be as real world as possible so you have to think about whether your budget is realistic and if you have covered everything. Imagine if you work at the high school and if screw-up you can be fired. You want to maximize revenue, but minimize costs. The key is to think about what you will offer, how you will offer it, how will you deliver, produce, etc… everything before you start buying. As an example, you need to clean the snack bar after every game which requires you buy cleaning supplies. Another component is identifying what are fixed costs and what are variable costs.
In: Accounting