Pursuing an MBA is a major personal investment. Tuition and expenses associated with business school programs are​ costly, but the high costs come with hopes of career advancement and high salaries. A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program​ per-year tuition as a predictor of starting salary. Data were collected for 37 ​full-time MBA programs offered at private universities. The data are stored in the accompanying table. Complete parts​ (a) through​ (e) below.

a. Construct a scatter plot.

b. Assuming a linear​ relationship, use the​ least-squares method to determine the regression coefficients b₀ and b₁.

c. Interpret the meaning of the​ slope, b₁​, in this problem.

d. Predict the mean starting salary upon graduation for a program that has a​ per-year tuition cost of $47,424.

e. What insights can be obtained about the relationship between program​ per-year tuition and starting salary upon​ graduation?

: A researcher is interested in whether salaries for middle school teachers were less than salaries for nurses in Arkansas. A statewide salary survey is conducted using random sampling.

The Data Analysis output for the various tests used when comparing two group means are shown below. The significance level was .05.

a) What is the appropriate two sample test to perform – the paired t test, the t test assuming equal variances, or the t test assuming unequal variances – for this research project?

b) State the H₀ and H_a.

c) Identify the decision rule using the critical value of t (round to three decimal places).

d) Identify the decision rule using the p value method.

e) State the test statistic (t _calc).

f) Do you reject or not reject Ho? Explain your decision.

1. Jessica is a graduate of a University’s business school entrepreneurship program.  As part of her final year of studies, she developed a business plan for a business that develops websites for individuals and commercial businesses.  She put her business plan into action with the help of start-up funding from family and friends, and has been operating for two and a half years.

Jessica has decided to apply the concepts in a balanced scorecard to evaluate and improve her business.  Her vision for this business is to provide clients with high quality websites that receive a relatively high number of hits. Recently, word-of-mouth advertising has led to more requests for websites with creative animated graphics.  As part of her balanced scorecard, she tracked the following measures over the last two years for her individual clients.

50       Required:

1. Based on the information above, does Jessica’s business compete on the basis of low cost or product differentiation?  Explain.
2. Your job is to assist Jessica in interpreting the data she has collected, so that she can determine where her business’ performance is satisfactory, and where she needs to concentrate her efforts in order to improve its performance.  
   1. For each performance measure, indicate how it should be classified on the balanced scorecard. There must be at least one performance measure for each classification.  There are, however, measures that can be included in more than one classification.  Select the classification that you believe is most appropriate.  Fore each performance measure, explain the reason for selecting the category chosen.
   2. Analyze the change in each performance measure from 2018 to 2019, but do not consider each performance measure in isolation.  Provide one possible explanation for the change that has been observed, making sure it is reasonable given all the information available to you.
   3. Evaluate the change in Jessica’s business as a whole from 2018 to 2019.  Identify one or two pieces of additional information needed to be able to complete this evaluation.  Describe why this information is needed.
   4. Make a recommendation as to the one thing Jessica should concentrate her efforts to improve her business in 2020.
3. Provide three reasons why a company could implement a balanced scorecard successfully but see no improvements in its profitability.   Make sure your explanation is sufficiently detailed that it is clear why improvements in profitability were not seen.

A nationwide award for high school students is given to outstanding students who are sophomores, juniors, or seniors (freshmen are not eligible). Of the award-winners, 65 percent are SENIORS, 20 percent JUNIORS, and 15 percent are SOPHOMORES.

Note: Your answers should be expressed as decimals rounded to three decimal places.

(a) Suppose we select award-winners one at a time and continue selecting until a SENIOR is selected. What is the probability that we will select exactly three award-winners?

(b) Suppose we select award-winners one at a time and continue selecting until a JUNIOR is selected. What is the probability that we will select at least three award-winners?

(c) Suppose we select award-winners one at a time continue selecting until a SOPHOMORE is selected. What is the probability that we will select 2 or fewer award-winners?

1. A random sample of 49 children with working mothers showed that they were absent from school an average of 6 days per term with a standard deviation of 1.8 days.

1. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (6 points)

2. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (8 points)

3. Determine a 95% confidence interval estimate for the average number of days absent per term for all the children. (8 points)

4. Discuss why 98% and 95% confidence intervals are different. (6 points)

Q3.(15) The SAT scores for US high school students are normally distributed with a mean of 1500 and a standard deviation of 100.

1.(5) Calculate the probability that a randomly selected student has a SAT score greater than 1650.

2.(5) Calculate the probability that a randomly selected student has a SAT score between 1400 and 1650, inclusive.

3.(5) If we have random sample of 100 students, find the probability that the mean scores between 1485 and 1510, inclusive.

1. A random sample of 49 children with working mothers showed that they were absent from school an average of 6 days per term with a standard deviation of 1.8 days.

1. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children.
2. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children.
3. Determine a 95% confidence interval estimate for the average number of days absent per term for all the children.
4. Discuss why 98% and 95% confidence intervals are different.

Regardless of your reasoning in the previous question, you find yourself back in school studying the historical economy of Liechtenstein. On the first day, you find yourself in the bookstore purchasing pens and notebooks for classes. You’ve decided that the marginal utility from the next notebook you pick up is 12 and the marginal utility from the next pen you get is 3. The notebooks are priced at $3 while the pens are only $0.50. The bundle you’re considering buying is on your budget constraint.

a. Is the bundle of notebooks and pens you’re considering buying optimal? Why or why not?

b. If the bundle is not optimal, does the optimal bundle contain more pens and fewer notebooks, or more notebooks and fewer pens?

This is the previous question just for context: Fascinated by what you’ve learned during your research, you begin to contemplate returning to college with the goal of becoming the world’s leading expert on Liechtensteinian ale production. Discuss the opportunity costs you’d face in such an endeavor.

1. Most inmates in American prisons are people with a high school education or less. So there’s a good chance that most of you will end up in prison after you graduate from Bowie State University. A. Strong, cogent B. Strong, uncogent C. Weak

2. All contemporary intellectuals are very literate. Cornel West is a contemporary intellectual. Therefore, Cornel West is very literate. A. Valid, sound B. Valid, unsound C. Invalid

3. Everyone is either Christian or an atheist. But Jews and Muslims are not Christians. Therefore, Jews and Muslims are atheists. A. Valid, sound B. Valid, unsound C. Invalid

4. If Martin Luther King, Jr. was a Christian, then he believed in God. Martin Luther King, Jr. was a Christian. Therefore, he believed in God. A. Valid, sound B. Valid, unsound C. invalid

5. All Americans are wise and just. Donald Trump is an American. Therefore, Donald Trump is wise and just. A. Valid, sound B. Valid, unsound C. Invalid

6. All Hindus are theists. All Christians are theists. Therefore, all Christians are Hindus. A. Valid, sound B. Valid, unsound C. Invalid

Before analyzing the data for relationships, the school counselor decides that he should first look at the population parameters of the SAT scores. he finds that the population of SAT scores. he finds that the population of SAT scores is normally distributed with a mean of 500 and a standard deviation of 100.

1. Draw this theoretical population, scale the x-axis in raw SAT scores, and provide demaraction lines (vertical dotted lines) where -2,-1,0,+2 Z-scores would fall. indicate the relative proportion of data that fall between each z-score, including the proportion of data +/-2.

2.provide the z-scores for a) x=500, b)x=530, c)x=470.

3.provide the raw scores for z=-2.1, z=+.85, and z=0

4.provide the raw scores for the 5th, 50th, and 95th percentiles.

5. give the probability that a randomly selected score would:

a. Fall at x=500 or below

b. Fall at 530 or above

c. Fall at or below 470

d. Fall at or above 380

e. Fall at or below z=0

f. Fall at or above z=-2.1

g. Fall at or above z=+.85