A university is interested in whether there's a difference between students who live on campus and students who live off campus with respect to absenteeism. Over one semester, researchers take random samples of on-campus and off-campus students and record the following number of classes each student misses.
On-campus: (3, 4, 0, 6, 2, 1, 3, 3, 5, 2, 4, 4, 6, 5, 2)
Off-campus: (6, 5, 2, 6, 2, 0, 7, 8, 1, 7, 2, 6, 5, 3, 2)
a) Using a 5% significance level, test whether or not there is a difference between the two groups.
b) Compute and interpret a 95% confidence interval for the difference between the number of classes missed by each group of students. Make sure to show your plug-ins.
c) Based on the confidence interval you created in part B, draw a conclusion about the differences between the means of the two groups.
In: Statistics and Probability
a. Please state both the null and alternative hypotheses for this question. b. Provide the decision rule for making this decision. Use an alpha level of .05. c. Show all the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? Write a conclusions sentence in APA format (i.e., it includes the appropriate statistical information).
A professor wants to determine whether her department should keep the requirement of college algebra as a prerequisite for an Introductory Statistics course. Accordingly, she allows some students to register for the course on a pass-fail basis regardless of whether they have had the prerequisite. Of the 70 students in the class, 40 have had algebra and 30 have not. At the end of the semester, the professor compares the number of students passing or failing the class with whether they had algebra. The results are presented below. Are students more likely to pass the course if they have taken college algebra? Pass Fail 34 6 12 18 Algebra No algebra
In: Statistics and Probability
The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.
| Name | z-scores |
|---|---|
| Trent | -1.57 |
| Alan | 1.82 |
| Malik | -2.49 |
| Ahmed | 1.46 |
| Warren | 0 |
| Manuel | -2.5 |
a.) Which of these students scored above the mean? (Select all that apply.)
b.) Which of these students scored on the mean? (Select all that apply.)
c.) Which of these students scored below the mean? (Select all that apply.)
d.) If the mean score was μ = 73 with standard deviation σ = 3,
what was the final exam score for each student? (Round your answers
to the nearest whole number.)
| Name | Test Score |
|---|---|
| Trent | |
| Alan | |
| Malik | |
| Ahmed | |
| Warren | |
| Manuel |
In: Statistics and Probability
Answer the questions below using the appropriate statistical technique. For questions involving the use of hypothesis testing, you must:
1. State the null and research hypotheses
2. Provide the Z(critical), T(critical), or χ 2 (critical) score corresponding to the α threshold for your test
3. Provide your test statistic
4. Provide your decision about statistical significance
An advantage that often comes with a basic knowledge of statistics is a change in salary. To see whether this was the case for Tulane University graduates, you took a random sample of 57 students who completed a statistics class and asked about their starting salaries (in thousands) after graduation. The sample had a mean of 53.3 with a standard deviation of 3.72 (i.e., x = 53.3 and s = 3.72). A call to the Office of the Registrar indicates that the average starting salary value for all Tulane students is 47.1. Do students who take statistics courses earn an equal salary compared to Tulane students generally? Use α = 0.001.
In: Statistics and Probability
A professor states that in the United States the proportion of college students who own iPhones is .66. She then splits the class into two groups: Group 1 with students whose last name begins with A-K and Group 2 with students whose last name begins with L-Z. She then asks each group to count how many in that group own iPhones and to calculate the group proportion of iPhone ownership. For Group 1 the proportion is p1 and for Group 2 the proportion is p2. To calculate the proportion you take the number of iPhone owners and divide by the total number of students in the group. You will get a number between 0 and 1.
In: Statistics and Probability
You manage a training program that has a failure rate of 34%. A new class of 6 students just checked in at the end of the fiscal year and you need to graduate at least 3 students. Your boss wants to know how likely it is that you will meet your yearly quota.
|
x |
P(x) |
Expected Value |
Std. Dev. |
|
|
A |
0 |
|||
|
B |
1 |
|||
| C |
2 |
|||
|
D |
3 |
|||
|
E |
4 |
|||
|
F |
5 |
|||
|
G |
6 |
Calculate the expected number of students that will pass.Show your work. You can do so via a table or calculation.
Calculate the standard deviation. Show your work. You can do so via a table or calculation.
What is the probability of 4 students passing the training program? Write the calculator function and numbers that you used in your work.
What is the probability that at least half the class will pass? Write the calculator function and numbers that you used to show your work. T/F
Please show your work
In: Statistics and Probability
8. I am interested in whether or not students who fail this statistics course one semester do better on their tests the second time they take the class. To examine this, I record the test scores for a sample of 10 students who took the class last semester and are repeating the class this semester. The test scores for these 10 students are reported below for last semester and this semester. Conduct the appropriate hypothesis test to determine whether or not student scores are significantly greater for students taking the class the second semester compared to their scores the first semester. State a type of a test, the null and research hypotheses, the critical value, obtained t statistic, your conclusion, and interpret your results (Alpha = .05). (6 pt)
|
Student |
Last Semester |
This Semester |
|
A |
65 |
78 |
|
B |
70 |
72 |
|
C |
54 |
66 |
|
D |
66 |
57 |
|
E |
42 |
50 |
|
F |
69 |
82 |
|
G |
70 |
70 |
|
H |
64 |
62 |
|
I |
39 |
55 |
|
J |
53 |
60 |
In: Statistics and Probability
29)
Troglodyte University uses activity-based costing to assign indirect costs to academic departments, using three activities. The activity base, budgeted activity cost, and estimated activity-base usage for each activity are identified as follows:
Activity |
Activity Base |
Budgeted Activity Cost |
Activity-Base Usage |
|
| Facilities | Square feet | $800,000 | 80,000 | square feet |
| Instruction | Number of course sections | 1,200,000 | 600 | sections |
| Student services | Number of students | 290,000 | 2,500 | students |
The activity-base usage associated with the Archaeology and
Geology departments is as follows:
| Department | Facilities | Instruction | Student Services | |||
| Archaeology | 8,000 | square feet | 8 | sections | 150 | students |
| Geology | 5,200 | square feet | 15 | sections | 200 | students |
a. Determine the activity rate for each activity.
| Activity | Activity Rate | |
| Facilities | $ | per sq. ft. |
| Instruction | $ | per section |
| Student services | $ | per student |
b. Determine the total activity cost for the Archaeology Department.
| Total activity cost | $ |
In: Accounting
10. The Westchester County Superintendent of Education is responsible for assigning students to the three magnet high schools in her county. She recognizes the need to bus a certain number of students, for several sectors of the county are beyond walking distance to a magnet school. The superintendent partitions the county into five geographic sectors as she attempts to establish a plan that will minimize the total number of student miles traveled by bus. She also recognizes that if a student happens to live in a certain sector and is assigned to the magnet high school in that sector, there is no need to bus him/her since he/she can walk to school. The three magnet schools are located in sectors B, C, and E. The accompanying table reflects the number of magnet high-school-age students living in each sector and the distance in miles from each sector to each school. Each Magnet High School has a capacity of 900 students. Set up the objective function and constraints of this problem, and solve using MS Excel. this question was answered need solver help
In: Advanced Math
In 2015, the Nellie Mae organization conducted an extensive study of how college students used credit cards. Two of their goals were to estimate the percentage of college students that have a credit card and the average credit card balance. To do this they randomly selected data for 600 undergraduate students aged 18-24 attending four-year public and private colleges across the United States who had applied for a loan with Nellie Mae during the summer and fall of 2001.
a) Identify the observational units.
b) Identify the population and sample of interest here.
c) Identify a categorical variable of interest and a quantitative variable of interest. Nellie Mae found that 83% of these undergraduate students carried at least one credit card, and that the average balance was $2327.
d) Are these numbers statistics or parameters? Explain how you can tell.
e) Would you expect the median credit card balance to be larger than the mean, smaller than the mean, or about the same as the mean? Explain your reasoning.
In: Statistics and Probability