Community Case: Mental Health
Case Part 1
Seventeen-year-old Justin Sutton took his own life last night with a handgun owned by his parents. Recently,several of his peers had posted photographs and demeaning comments about him on social media, suggesting that Justin was gay. This was only the most recent incident in a long history of bullying and depression experienced by Justin, who had been meeting with his guidance counselor regularly. The counselor had referred him for mental health services, and he’d been waiting for his first appointment.
Questions for students:
In: Nursing
1. According to the U.S. Census Bureau, 88% of Americans had at least a high school diploma or GED in 2015 and 33% had a bachelor’s degree or more. 100 individuals with a high school diploma and no college were surveyed and their average annual salary was $34,436 with a standard deviation of $1643. 100 individuals with a bachelor’s degree were also surveyed and their annual salary was $58,657 with a standard deviation of $2340. Carry out an appropriate hypothesis test to determine if individuals with a bachelor’s degree have a higher annual salary, on average, than individuals with just a high school diploma. Make sure to include your hypotheses, assumptions, p-value, decision concerning the null hypothesis and an English statement explaining your findings.
2. In 2012, there were roughly 110,000 Democrats in Kern County. The Kern County Elections department released data in 2018 showing that the number of Democrats in the county was on the rise. The data stated that Kern County was home to 131,168 Republicans, 124,174 Democrats, and 89,193 voters with no party preference. Construct a relative frequency bar graph which summarizes all of this data. Make sure to properly label your graph.
In: Statistics and Probability
The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following information on the amounts earned last week by a sample of school teachers and nurses.
| School Teachers ($) | 1,095 | 1,076 | 1,077 | 1,125 | 1,034 | 1,059 | 1,052 | 1,070 | 1,079 | 1,080 | 1,092 | 1,082 |
| Nurses ($) | 1,091 | 1,140 | 1,071 | 1,021 | 1,100 |
1,109 |
1,075 |
1,079 |
||||
Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 significance level. Hint: For the calculations, assume the nurses as the first sample.
Click here for the Excel Data File
Is this a one-tailed or a two-tailed test?
One-tailed test
Two-tailed test
State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
What is your decision regarding H0?
Reject H0
Do not reject H0
What is the p-value?
Greater than 0.1.
Between 0.01 and 0.1.
Between 0.001 and 0.01.
Less than 0.001.
In: Statistics and Probability
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating in competitive after-school activities such as athletics. Does drug testing reduce use of illegal drugs? A study compared two similar high schools in Oregon. Wahtonka High School tested athletes at random and Warrenton High School did not. In a confidential survey, 8 of 133 athletes at Wahtonka and 27 of 115 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs from the populations of athletes at similar schools with and without drug testing. (a) You should not use the large-sample confidence interval. Why not?
(b) The plus four method adds two observations, a success and a failure, to each sample. What are the sample sizes and the numbers of drug users after you do this? Wahtonka sample size: Wahtonka drug users: Warrenton sample size: Warrenton drug users:
(c) Give the plus four 99.5% confidence interval for the difference between the proportion of athletes using drugs at schools with and without testing. Interval: to
please show your work and what function to use on the calculator . thank you !
In: Statistics and Probability
|
Problem Set 1: Chi Square Goodness of Fit (7 pts) A teacher believes that the percentage of students at her high school who go on to college is lower than the rate in the general population of high school students. The rate in the general population is 69.7% (BLS, 2017). In the most recent graduating class at her high school, the teacher found that of 104 who graduated, 61 of those went on to college. |
|
Frequencies |
Went to college |
Did not go on to college |
|
Observed |
(answer) |
(answer) |
|
Expected |
(answer) |
(answer) |
WORK:
In: Statistics and Probability
Each person in a large sample of German adolescents was asked to
indicate which of 50 popular movies they had seen in the past year.
Based on the response, the amount of time (in minutes) of alcohol
use contained in the movies the person had watched was estimated.
Each person was then classified into one of four groups based on
the amount of movie alcohol exposure (groups 1, 2, 3, and 4, with 1
being the lowest exposure and 4 being the highest exposure). Each
person was also classified according to school performance. The
resulting data is given in the accompanying table.
Assume it is reasonable to regard this sample as a random sample of
German adolescents. Is there evidence that there is an association
between school performance and movie exposure to alcohol? Carry out
a hypothesis test using
α = 0.05.
| Alcohol Exposure Group | |||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | ||
|
School Performance |
Excellent | 111 | 93 | 49 | 67 |
| Good | 329 | 326 | 317 | 297 | |
| Average/Poor | 239 | 259 | 314 | 319 | |
Calculate the test statistic. (Round your answer to two decimal
places.)
χ2 = ___
What is the P-value for the test? (Round your answer to
four decimal places.)
P-value = ___
In: Statistics and Probability
Answer the questions as indicated for scenarios 1-5. Note: You do not need to perform any of the procedures indicated.
Scenario 3: A guidance counselor identifies a random sample of 40 high school female students and gives each of these students a vocabulary test. For the female group, the average vocabulary score was 69 with a standard deviation of 5.3. Next, the guidance counselor takes a random sample of 48 male high school students. The male students also complete the vocabulary test. This group had an average vocabulary score of 64 with a standard deviation of 5.6. What is a 90% confidence interval estimate for difference in average vocabulary test score between female and male students at this school?
A. Indicate whether the inference procedure needed is a confidence interval or a significance test.
B. Indicate whether the procedure involves one or two samples.
C. Name the inference method needed to answer the question posed.
D. Verify whether or not the conditions have been met for this inference procedure. Specifically, you need to list each condition and then explain how the condition was or was not met.
E. Determine if it is appropriate to perform the significance test or confidence interval (yes/no).
In: Math
In: Operations Management
QUESTION 12
Children who come to school with no English speaking skills will benefit from being grouped with children who have cognitive disabilities.
True
False
2 points
QUESTION 13
Children whose home language should learn to speak English as soon as possible to support emotional development.
True
False
2 points
QUESTION 14
Clara is an early childhood educator who has been creating a multicultural environment for her children. One week of each school year, she plans a multicultural night for the school. Families all bring a food dish to share and dress in traditional garments according to Banks, this level of curriculum would be considered a(n) ________.
|
Social action approach |
||
|
Additive approach |
||
|
Transformation approach |
||
|
Contributions approach |
3 points
QUESTION 15
Classrooms that have a monolingual group of children should promote multiple language learning for the intellectual, cultural, and social benefits that may result.
True
False
2 points
QUESTION 16
Curriculum during the early childhood years and practiced by developmentally appropriate oriented practitioners is child-centered and emerges from the child.
True
False
In: Psychology
You are a middle school principal in a working-class conservative community in the Midwest. One of your tenured teachers placed a series of very negative comments about you and the school on her Facebook page. These comments were made over the weekend. A number of your students informed you that they read the teacher’s comments. In fact, you heard a group of students chatting and laughing about the comments. Additionally, you receive phone calls from a number of parents who conveyed how negative and unprofessional the teacher’s comments were.
Discussion Questions
How would you react to parents and students?
How do you approach the teacher who is allegedly responsible for the negative comments?
If evidence reveals that the teacher is responsible for these comments, what action would you take?
What options are available to you in addressing this situation?
What precautions must be taken to ensure that the teacher’s rights are protected?
How do you balance the rights of the teacher against the need to protect the integrity of the school?
Please discuss the probable consequences of each option you identified.
What is your final decision? Provide a rationale for your decision.
In: Operations Management