You are a college student, and you have a friend at a rival university. The two...

You are a college student, and you have a friend at a rival university. The two of you compete in almost everything! One day, your friend boasted that students at her university are taller than the students at yours. You each gather a random sample of heights of people from your respective campuses. Your data are displayed below (units are inches).

Your friend's data: (checksum: 1213.5)

75.5	72	76.4	69.7	76	74.7	80.5	71.5	73.2	67.3
66.8	65.2	66.7	72.5	75.7	68.5	61.3

Your data: (checksum: 1301.2)

66.9	66.2	67.6	74.1	72.3	69.4	69.3	66.7	69	64.3
65.9	63.1	68	64.8	73.6	71.2	72.8	59	77

Construct a 95% confidence interval for the difference in mean height between the two college populations.

a) State the parameter of interest, and verify that the necessary conditions are present in order to carry out the inference procedure.

b) Find the estimate for the degree of freedom and the margin of error.

Degree of freedom:

Margin of error:

c) Find the confidence interval: (,)

d) Interpret your 95% confidence interval in context.

e) Based on the confidence interval, is there evidence that the mean height at your friend's university is higher? Explain.

Question Help:
Video Video
Forum Post to forum

Solutions

Expert Solution

(a) The parameter of interest is students at university.

This test assumes -

The means are of measurement variables.

Sampling (or allocation) is random and observations are independent.

The samples are drawn from normally distributed populations.

Sample variances are homogenous (that is they represent the same population)

The model is additive

(b) The estimate for the degree of freedom and the margin of error is 34 and 3.1501 respectively.

(d) We are 95% confident that the true mean difference is between -0.2520 and 6.0483.

(e) Since the confidence interval contains 0, we cannot conclude that the mean height at your friend's university is higher.

Friend	Your data
75.5	66.9
72	66.2
76.4	67.6
69.7	74.1
76	72.3
74.7	69.4
80.5	69.3
71.5	66.7
73.2	69
67.3	64.3
66.8	65.9
65.2	63.1
66.7	68
72.5	64.8
75.7	73.6
68.5	71.2
61.3	72.8
	59
	77

Friend	Your data
71.382	68.484	mean
4.948	4.354	std. dev.
17	19	n

	34	df
	2.8981	difference (Friend - Your data)
	21.5579	pooled variance
	4.6431	pooled std. dev.
	1.5501	standard error of difference
	-0.2520	confidence interval 95.% lower
	6.0483	confidence interval 95.% upper
	3.1501	margin of error

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Introduction to law and Science You and a friend from University have an idea for a...

Introduction to law and Science You and a friend from University have an idea for a new invention. In order to develop your idea into a commercially viable product, you have decided to go into business together. Compare an unincorporated partnership and an incorporated private limited company (Ltd). Specify which format you would choose, setting out arguments in favour of your choice. You may use whichever referencing style you prefer, just ensure that you are consistent throughout your answer. Your...

Suppose a college student at a university presents to a physician with symptoms of headaches, fever,...

Suppose a college student at a university presents to a physician with symptoms of headaches, fever, and joint pain. Let A = {headaches, fever, and joint pain}, and suppose that the possible disease state of the patient can be partitioned into: B1 = normal, B2 = common cold, B3 = mumps. From clinical experience, the physician estimates P (AjBi ): P (AjB1) = 0.001, P (AjB2) = 0.70, P (AjB3) = 0.95. The physician, aware that some students have contracted...

a) Mercy Oppong, a level 300 Lower student at Wisconsin International University College, is thinking of...

a) Mercy Oppong, a level 300 Lower student at Wisconsin International University College, is thinking of the course she should graduate in. She is considering Marketing, Human Resource Management and Finance. She may earn a first class, second class or third class if she chooses anyone of these courses. Her annual salaries if she gets a job after the first degree and if she pursues further studies, are shown in Table 1. Table 1: Mercy Oppong’s annual salaries for first...

You are a college student and have just been hired to work part-time in the accounting...

You are a college student and have just been hired to work part-time in the accounting department of Candy’s Cleaning Services. The person you are replacing had difficulty preparing the bank reconciliation for April 30, which is shown below. CANDY'S CLEANING SERVICES Bank Reconciliation April 30, 2017 Bank balance $33,466 Book balance $28,948 Add: Deduct: Interest $68 NSF, customer Bonne $419 Error Chq #93 127 195 $29,143 Outstanding cheques: Deduct: #879 $2,635 Service Charge 152 #100...

You have data on three variables for college graduates: years of work experience, student GPA and...

You have data on three variables for college graduates: years of work experience, student GPA and monthly salary after graduation in $. You collect data from 6 students. Student Years of Work Experience GPA Monthly Salary ($) 1 3 2.6 3300 2 0 3.4 3600 3 4 3.6 4000 4 1 3.2 3500 5 2 3.5 3900 6 5 2.9 3600 Following are the regression results for the data using Excel. In this problem, you will be interpreting the regression...

The faculty at a large university have decided that they will enforce course prerequisites for student...

The faculty at a large university have decided that they will enforce course prerequisites for student class registration. For the following statements, identify whether they represent an opinion, a fact, or a reasoned argument 1. It won’t work a. opinion b. fact c. reasoned argument 2.The courses at this university are divided into lower-division and upper-division a. opinion b. fact c. reasoned argument 3.The faculty understand more about the content area than students do. Therefore, faculty should guide students in...

Professional associations often have student-organized chapters on college campuses. Let’s say you are a member of...

Professional associations often have student-organized chapters on college campuses. Let’s say you are a member of a campus business club, such as the Society for the Advancement of Management (SAM), the American Marketing Association (AMA), the American Management Association (AMA), the Accounting Society (AS), the International Association of Administrative Professionals (IAAP), or the Association of Information Technology Professionals (AITP). Your club or association has managed its finances well, and therefore, it is able to fund monthly activities. However, membership dues...

Use the following information for the next two problems. A college student is on a “meal...

Use the following information for the next two problems. A college student is on a “meal program.” His budget allows him to spend an average of $10 per day for the semester. He randomly selects 14 days from the semester and finds his mean daily expense, for those days, to be $14.09 with a sample standard deviation of $8.05. Assume that the observations come from a normal distribution. 1.Which one of the following gives the null and alternative hypotheses to...

Case Study - Performance Management at the Yanbu University College Library The Yanbu University College, Yanbu,...

Case Study - Performance Management at the Yanbu University College Library The Yanbu University College, Yanbu, was established in 2005. As in the case of many other modern university libraries worldwide that face resources challenges and the need to serve an increasingly diverse customer base, the YUC Library has implemented numerous initiatives. One such initiative is a performance management system. However, several of the components of the performance management process at the YUC library are in need of improvement. First,...

You are running a nursery for garden peas at your university, and you have two pure-bred...

You are running a nursery for garden peas at your university, and you have two pure-bred garden pea strains: Yellow Wrinkled (YYrr) and Green Round (yyRR). You know that Yellow is dominant to green and that Round is dominant to Wrinked. One customer asked about one particular pure-bred strain, Yellow Round (YYRR). You promised to that customer that you could generate this pure-bred one. 1. Provide breeding schemes. 2. After several breeding experiments, you need to identify the pure-bred one...

Subjects