All applicants to medical school are required to take an entrance exam. Historically, scores on the exam are known to be normally distributed with mean 80 and standard deviation 4. This year, we observe that a sample of 16 applicants obtains an average score of 78.67. Does this provide evidence that the average of all this year's applicants is less than 80? To answer this question, we do a hypothesis test using a significance level of 0.05.

Check all of the following statements that are correct (more than one alternative can be correct). Also, let ?μ be the mean of all this year's applicants.

Group of answer choices

a. The null hypothesis is ?0:?=H0:μ= 80

b. The alternative hypothesis includes an > sign

c. The value of the test statistic is z = -1.83

d. The p-value for this hypothesis test is 0.092

e. For this hypothesis test, we fail to reject ?0

Personal Budget

At the beginning of the school year, Katherine Malloy decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except an overall cash decrease which should be indicated with a minus sign.

Feedback

Sometimes an item may be a decrease in one period and an increase in a different period.

Review the definitions of static budgets and flexible budgets.

What weaknesses are shown by this cash budget?

b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

Static

c. Malloy can see that her present plan will not provide sufficient cash. If Malloy did not budget but went ahead with the original plan, she would be $ short at the end of December, with no time left to adjust.

Jobs for the homeless! A philanthropic foundation bought a used school bus that stops at homeless shelters early every weekday morning. The bus picks up people looking for temporary, unskilled day jobs. The bus delivers these people to a work center and later picks them up after work. The bus can hold 139 people, and it fills up every morning. Not everyone finds work, so at 11 A.M. the bus goes to a soup kitchen where those not finding work that day volunteer their time. Let us view each person on the bus looking for work as a binomial trial. Success means he or she got a day job. The random variable r represents the number who got jobs. The foundation requested a P-Chart for the success ratios. For the past 3 weeks, we have the following data.

Make a P-Chart. (Use 4 decimal places.)

List any out-of-control signals by type (I, II, or III). (Select all that apply.)

Out-of-control signal I occurs on day 11.Out-of-control signal I occurs on day 14.Out-of-control signal III occurs on days 4 and 5.Out-of-control signal III occurs on days 14 and 15.There are no out-of-control signals.

Interpret the results.

Personal Budget

At the beginning of the school year, Priscilla Wescott decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except cash decrease which should be indicated with a minus sign.

b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

c. What are the budget implications for Priscilla Wescott?

Priscilla can see that her present plan   sufficient cash. If Priscilla did not budget but went ahead with the original plan, she would be $   at the end of December, with no time left to adjust.

Personal Budget

At the beginning of the school year, Priscilla Wescott decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except cash decrease which should be indicated with a minus sign.

b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

c. What are the budget implications for Priscilla Wescott?

Priscilla can see that her present plan sufficient cash. If Priscilla did not budget but went ahead with the original plan, she would be $ at the end of December, with no time left to adjust.

Is there a positive relationship between grit and GPA in high school seniors? A researcher examined this issue by having students beginning their senior year of high school complete a grit inventory using a Likert-based scale (range 1 – 7), where higher numbers indicate more “grit”. GPA was self-reported (scale 0 – 4.0). Enter the data shown here into SPSS to assess whether there is a positive relationship between grit and GPA.  

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=553.4μ=553.4 and standard deviation σ=29.3σ=29.3.

(a)What is the probability that a single student randomly chosen from all those taking the test scores 560 or higher?

For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.

(b)What are the mean and standard deviation of the sample mean score x¯x¯, of 35 students?
The mean of the sampling distribution for x¯x¯ is:

(c) What z-score corresponds to the mean score x¯x¯ of 560?

(d)What is the probability that the mean score x¯x¯ of these students is 560 or higher?

Answer completely and correctly please.

At the beginning of the school year, Craig Kovar decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except cash decrease which should be indicated with a minus sign.

b. What are the budget implications for Craig Kovar?

Craig can see that his present plan will not provide sufficient cash. If Craig did not budget but went ahead with the original plan, he would be $_?_ short  at the end of December, with no time left to adjust.

Your daughter is applying to a prestigious university. Since admission to the school is difficult, your daughter has planned the process carefully. She has consistently achieved high marks, taken preparatory courses for entrance exams, and has participated in various extracurricular activities. When you tell one of your best customers about her activities, he offers to write her a letter of recommendation. He's an alumnus of the school and is one of its most active fund raisers. Although he's a customer, you also regularly play golf together and your families have socialized together on occasion.

Is this a conflict of interest? Why or Why not?

Resolve using the consequential approach and think about what would benefit the most people.

Resolve using the deontological approach. What issues are raised? What’s fair? What situation would put all players on level playing field? What is your duty or obligation?

Use virtue ethics and determine what would a virtuous person do? What does it mean to be a person of integrity in this situation? What ethical community would hold me to the highest ethical standards?  

Programing Java

The school Arena can seat 12,000 people for an event. If the arena was full and you were to poll everyone for which day of the year (between 1 and 365, inclusive) they were born, determine which days had the most birthdays and which days had the fewest birthdays.

Write a program that will generate 12,000 random birthdays (integer numbers) between 1 and 365 and count how many people have that same birthday. Output a listing of the days that have the most birthdays and the days that have the fewest birthdays. You do not need to convert a number like 32 to an actual date (February 1^st).

Your code will have two classes:

• the Main class will hold the main() method.
  • From this class, you will create an object of the Arena class.
  • This object will call responsible methods in the Arena class to print the MAX and MIN birthday dates.
  • See the skeleton below.
• the Arena class will have a random number generation method.
  • This class's constructor will take #of people in the area as an input.
  • With this number, you will create an array and a method will put random numbers between 1 and 365 in this array.
  • Two other methods in this class will determine the days with MAX and MIN birthdays.
  • Make sure to print ALL maximum and minimum birthdate days.
• The two classes can be part of the same file. A naive example structure is shown below.

Goals

• Use your knowledge of arrays and random number generation to solve a problem.
• Use looping structures to determine the largest and smallest values in an array and then find each occurrence of that value.
• Gain experience in creating objects and multiple classes.
• Gain experience in method call using an object of a class written by yourself.

Sample output

The following days have 75 people:

147

The following days have 35 people:

143 312